Average Speed of Boat in Upstream and Downstream Calculator In , the American lawyer and inventor John Stevens built a foot ( m) boat with a rotary steam engine coupled to a four-bladed propeller. The craft achieved a speed of 4 mph ( km/h), but Stevens abandoned propellers due to the inherent danger in using the high-pressure steam engines. His subsequent vessels were paddle-wheeled boats. There is no way you were given a problem with just distance to find the speed, just recheck ;) - but use the 3 basic equations of kinematics to solve these kinds of problems: 1) v = u + at 2) v^2 = u^2 + 2as 3) s = ut + 1/2at^2 Where of course: u. Science Fiction has been recently referred to as the last great literature of ideas. It contains imaginative concepts such as parallel universes, fictional worlds full of advanced technology, time travel, extraterrestrial life, and even sociocultural commentary. Below are prompts to help you get started on your next Science Fiction writing project. Please feel free to use any of these.
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Condition C: All other conditions being same but now we have 2 knots current from astern. Ok, I hope you have your answers. If your answers for speed over water for all the three conditions is same, most likely you have got it. But if you have different speed of water for all three conditions, you must read on. There is nothing absolute in this world. Everything is relative to something.

Speed too is measured with respect to something adjacent. While travelling on a train you might feel increase in speed when another train passes on opposite direction. Or Sometime on railway station, we suddenly feel our train moving even when it is other train adjacent to ours which has just started moving. So what is the speed of your train in this case.

You may say zero but I may disagree. Depends on with respect to what we are talking about? Speed with respect to station will be zero, but with respect to other train will be equal to the speed of that train.

Speed over water is the distance traveled in one hour with respect to water. Similarly speed over ground is the distance traveled in one hour with respect to ground. Now what does that mean? Let us understand this and look for the answers of our three conditions. Imagine your ship is moving from an island and there is a floating boat near to the island. In one hour you would have covered 15 NMs with respect to island as well as floating boat. Now as in Condition B, rest of the things being same, we have 2 knots current from ahead.

In this case ship would only cover 13 NM in one hour because of adverse current. So when measured from island, vessel has only moved 13 NM. So the speed over ground will be 13 Knots. Because of 2 Knots current, the boat would move 2 NM away from the ship. The distance covered by ship with respect to floating boat will be 15 knots.

So the speed over water will still be 15 knots. In this case ship would cover 17 NM in one hour because of favorable current. So when measured from island, vessel has moved 17 NM.

So the speed over ground will be 17 Knots. But because of 2 Knots current, the boat would move 2 NM in the direction of the ship. The distance covered by ship with respect to floating boat will still be 15 knots.

As you would have noticed, current has nothing to do with speed over water. Irrespective of how much current you have, the speed over water will remain same. If you have been sailing on tankers you would already know how much emphasis vetting inspections put on this fact. They want us to use speed over water in radars for collision avoidance. Do you know why? To understand this, let me give you a situation. I know many of us are fed up with ROR situations during competency exams but this one would be interesting.

Your vessel is moving on a true course of Deg. You have another vessel right ahead on a course of Deg. There is strong easterly current and because of that your vessel is making good a course of Deg. Other Vessel is making good a course of Deg. If you think you would take action as per crossing situation, you would be wrong.

Collision avoidance rules and situations are based on how we see the ship and not on how they are moving. For example, as per ROR, Head on situation is when you see a ship right ahead or nearly right ahead.

That is when you can see both her Mast headlights in line or nearly in line and both of her sidelights. Now Just visualise the situation I described. Will the defination of head on situation fit in this situation?

Yes it would. But the problem is that if you follow just the radar, It will give you a false sign that the situation is a crossing situation. This is because the radar would be showing the course made good of both the ships. This problem is tackled by using the speed over water in Radar. And that is the reason vetting companies require use of speed over water for collision avoidance.

When we use speed over water the same situation would look as a head on situation. That is because when we use speed over water, it does not consider the effect of current on the vessel. Remember Radar plotting techniques?? There is no debate that GPS feed is required in Radars for position. But if we have to use speed over water in radar, do we require GPS speed then? Yes, we do. Infact i have come across some vetting inspector who ask to put the radar on standby.

They then check what source of speed it is showing. If it shows GPS speed, they have an observation such as.. In my view, this is really incorrect observation. Navigators need to use both speed over water as well as speed over ground judiciously. Speed over water is only required to be used for collision avoidance and not necessarily for navigation. By using speed over ground, a navigator is more aware of the situation than otherwise.

For example, if the ship is drifting towards a danger, navigator will know it better if he has speed over ground in radar. This is because, with speed over ground radar will show a vector of course made good. Vector need to be selected as true in this case. As you can see in above, with speed over water navigator may get an impression that ship is moving clear of the danger. In actual it may be drifting towards the danger. As we have seen, current has no effect on the log speed.

For this reason, in normal wind force, log speed is very close to the engine speed. Engine speed is calculated by Propeller distance divided by the time.

Propeller distance is obtained by multiplying total revolution to a constant. This constant is proportional to the pitch of the propeller.

In normal wind conditions, this engine speed will be equal to the speed over water or speed obtained from log.

This can be a good indication of you log giving erratic readings. The conclusion however need to be verified with other means too. These include comparison with the GPS speed in calm weather with no current. There is another conclusion that can drawn from the difference in actual engine speed and log speed. There are chances of hull having considerable amount of marine growth. This can give considerable difference in engine speed and speed over water.

There is another way to confirm this finding. If the hull is fouled, ship may not be able to run on NCR rpm because of excessive torque.

In run on NCR with foul hull, it is very likely that you will get torque limit alarm on the engine. Speed over water and speed over ground are two distinct tool.

One does not replace other. Navigator should make full use of these speeds where these best fit. For example, navigator should use speed over water for collision avoidance. Speed over ground should be used for navigation. Using speed over water, a navigator can be sure of his assessment of colreg situation.

Using speed over ground can give an early signs if the ship is drifting towards a danger. Rajeev Jassal has sailed for over 19 years mainly on crude oil, product and chemical tankers. He has done extensive research on quantitatively measuring Safety culture onboard and safety climate ashore which he believes is the most important element for safer shipping.

Very good explanation , only a guy whose been there can highlight the concerns of a mariner in -charge. Simple explanation That is the most simpler way of putting it but in reality it does not take the heading. How will Doppler and radar know the heading of the other vessels? Gps will give speed over ground that is with relative to the ground similar to the speed we get when we use the gps in our mobile phone while driving.

One question. Log speed STW was showing around 4 knots usually and now is showing 2 knots. Very informative sir This is the 2nd blog i hv read from u sir.. Sir, can u plz give some info what does a vetting ins. I am just promotted to 2nd and next port going to have vetting inp of shell. For example marking of parallel indexing, Abort point, contingency anchorages etc.

If you have any specific question, don't hesitate to ask me. All the best Sourav.. Sir i wanted to know, even if ship is stationary the log will show some speed and log gives speed through water,!

When the ship is moored, ship's log still can show some speed for example if the ship is moored in river with current.

Excuse me , but you sayd that current is not influencing the STW! You said speed log is reading the speed acording the pitch of the propellers! That is when ship is not moored or anchored. If the ship is moored or anchored it becomes other way around. Really excellent sir. An infomative article in a very simple and lucid manner.

Thankyou very much captain. Hope to get more fantastic surprises like this from you. Shiva bless you. Nice n simple explanation And sir kindly reply in mail if possible.

Glad you found it useful Abinash.. Sorry but I didn't receive any email. You can contact me Through contact section in the top menu.. Just those 2 things let me realize I lost 10 minutes of my life reading this "article". Speed over water and speed through water are one and the same thing and I have heard both terms being used by many people. I am sorry to have you given an impression that GPS speed is speed though water but I am not sure why you got that impression as I referred GPS as speed over ground.

I think the three cases you illustrate give an impression that the GPS always measured 15kn, which happens to be speed over water in those examples. I think you may clarify that speed over water in all cases remains constant, and then ask what GPS reading will be. That will be clearer in my opinion. It will illustrate more clearly how speed over ground is affected by currents given constant speed over water. Thanks Aditya..

That may have caused the confusion for Druvil but I think most of the reader including yourself got it that GPS speed was mentioned just for the reference in the first example. I will think over it again how i can remove this confusion.

Thanks once again for suggesting this.. I was in the same situation. I got confused by the way you introduced the speed in the 3 examples. If you have no clue about either it leads to confusion as it makes you think that it is the SOW that will change and not the SOG. Someone that knows a little bit about it will pass by it but someone that is not so well versed in Naval Nav will be left confused and might just stop reading. Here is a suggestion on how it would help alleviate the confusion: Condition A: No wind, no current, absolute ideal conditions.

Then you ask the opposite type of current followed by : It might surprise you if you are new to Naval Nav but it is the SOG that will be affected. The SOW is the one that will stay constant. Here is why I know it is pretty much late Almost a year after you posted but know that I just search this topic and your article was first on my google search. Thank you for the help cheers! Why would a reader think that GPS speed is only for the first A example?

When B specifically states "All other conditions being same but now we have 2 knots current from ahead. Yet your answer for B gives the wrong amounts. That is confusing and wrong. IF you want the other examples not to include GPS speed, then it should not state conditions are all the same. Hello Captain, thank you for your lesson which i can't even get in my institute.

I have a question by the way. For the collision example, if i observe visually when 2 ships are in sight, there will be a crossing situation right? No Henry.. Both the ships will be facing head on but will be moving in the line of their course made good.

Hope that clarifies. Officers get easily confused when port state comes with such questions.. Hope you will post more of these stuff. And the figurative explanations are much more understandable than plain notes on these..

Happy that you liked it Christin.. I will be posting more of these in near future.. Thanks for reading. Dear sir,thank u for an easy n much useful explanation.

Very well n clearly explained. Hats off to u. Sir I have asked many people about the same qustion but I ddnt get a good ans..

Thanks sir. Glad that it could clear some of your doubts Jino. Let me know if you have any question anytime.. Hi, thanks for the explanation, it was very helpful. I would like to know if this blog is still working, Could not find new tops on it. There are many blogs that I have posted after this Gilson.

You can visit the list by clicking "Blog" on top of this page. Or you can go to www. If you still cannot view it, let me know. I will get it sorted out. Thanks Sir for such a simple explanation. Sir,can you please tell me what is the difference between Log Speed and Observed Speed. How do we determine these two. Also which one of these are to be considered for calculating the fuel consumption or the Power. Thanks in advance.

The power and fuel consumption is not calculated by the the speed. Log speed is the speed made through water and observed speed we refer to the distance made between point A and B.

Observed speed could be different from GPS speed because we might have done few alterations to avoid traffic and would not have proceeded directly from point A to point B. So observed speed is the effective speed made by the vessel. Rajeev indeed its helpful. Till that time we have to live with it. Thanks a lot Underway is when ship is afloat but not at anchor or at berth and not using engine. Making way is when vessel is making way through water and using engines.

Hello, can clear a doubt for me? I think Doppler speed log is best for being instantaneous, and GPS needs to compare between 2 positions and maybe one of them is not so good to be consider for this purpose Am I right? Doppler does not give SOG. Doppler gives speed through water. Also GPS speed is good and accurate and we can use it during anchoring also.

Excuse me Sir but you can select in some doppler speed logs STW or SOG, obviously when sea bottom is available, next is an extract for a manufacter brochure : " The Doppler speed log measures a vessel's speed through the water or over the seabed ".

I personally remembered this function onboard. Thanks anyway, very good article. Thanks for that feedback. But coming to your original question, we still can use GPS speed during anchoring. Glad you liked it Shushant. Next post in line will discuss the difference between underway and making way.. Hope you will find that helpful. Amazing explanation sir. Which will be the accurate CPA? Awesomeee explanation sir Now my doubt abt sog and sow is totally cleared.

Thnxs for sharing such wonderful information sir. Good Day Sir! I would like to ask some question regarding this matter. You made a real good point in using the speed over water to determine the situation of both vessel if it is crossing or head on situation which is right.

Awesomeee explanation sir. But I still have a doubt about how an instant STW measured by doppler log is affected by a current from ahead.

If the vessel's speed is 10kn and the current from ahead is 2kn, the speed if no current would be 12kn? And the SOG would be same 12kn? Hector, the doppler speed is not affected by the current. It does not matter how much the current is, doppler speed STW will be same because of its principle of operation.

Thank you very much sir, long time I had been seeking the suitable explanation on this important topic. Really very helpful. Appreciate your effort and time on this writing. Sab this is the 2nd blog I have read, the explanation with examples made interesting,really very practical approach in explaining keeping in mind all ranks. Very clear on Sog and sow.

It is not mentioned in RoR that speed through water to be used for collision avoidance. But it is rightly implied so by oil majors and by the industry experts. ROR is based on aspect because all the definitions of situation like Head on and overtaking etc are as per the aspect of the vessels and not how the two vessel are moving.

Superb explanation sir. How long will it take them to rake the lawn working together? Mary can clean her apartment in 6 hours while her roommate can clean the apartment in 5 hours. If they work together, how long would it take them to clean the apartment? Brian can lay a slab of concrete in 6 hours, while Greg can do it in 4 hours. If Brian and Greg work together, how long will it take? Leeson can proofread a newspaper copy in 4 hours.

If Ryan helps, they can do the job in 3 hours. How long would it take for Ryan to do his job alone? Paul can clean a classroom floor in 3 hours. When his assistant helps him, the job takes 2 hours. How long would it take the assistant to do it alone? If his dad helps him, then it takes 1 hour.

Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5 hours. How long will it take them to remove the shingles if they work together? At the end of the day Dodie can clean her hair salon in 15 minutes. Ann, who works with her, can clean the salon in 30 minutes.

How long would it take them to clean the shop if they work together? Ronald can shovel the driveway in 4 hours, but if his brother Donald helps it would take 2 hours. How long would it take Donald to shovel the driveway alone?

It takes Tina 3 hours to frost her holiday cookies, but if Candy helps her it takes 2 hours. How long would it take Candy to frost the holiday cookies by herself? Dana enjoys taking her dog for a walk, but sometimes her dog gets away and she has to run after him.

Dana walked her dog for 7 miles but then had to run for 1 mile, spending a total time of 2. Her running speed was 3 mph faster than her walking speed. Find her walking speed.

Ken and Joe leave their apartment to go to a football game 45 miles away. Ken drives his car 30 mph faster Joe can ride his bike. In Example 8. Explain why. Paula and Yuki are roommates. It takes Paula 3 hours to clean their apartment.

It takes Yuki 4 hours to clean the apartment. Explain how this equation models the situation. How can you improve this? As an Amazon Associate we earn from qualifying purchases. Want to cite, share, or modify this book? This book is Creative Commons Attribution License 4.

Skip to Content Go to accessibility page. Elementary Algebra 2e 8. My highlights. Table of contents. Answer Key. By the end of this section, you will be able to: Solve uniform motion applications Solve work applications. Before you get started, take this readiness quiz.

We are looking for the speed of the airplane. Write in the rates. Write in the distances. We divide the distance by the rate in each row, and place the expression in the time column.

We know the times are equal and so we write our equation. Is mph a reasonable speed for an airplane? The plane was traveling mph. Her biking speed is 4 miles faster than her running speed. Write a word sentence. Her time plus the time biking is 3 hours. Translate the sentence to get the equation. Is 8 mph a reasonable running speed? His uphill speed is 8 miles per hour slower.

Enter the rates into the chart. Write a word sentence about the time. He took 2 hours longer uphill than downhill. The uphill time is 2 more than the downhill time. Is 12 mph a reasonable speed for biking downhill? Multiply by the LCD, 40 t 40 t. Simplify and solve. Multiply, and then round to the nearest minute. It would take Pete and Alica about 4 hours and 27 minutes to paint the room. Enter the hours per job for Press 1, Press 2 and when they work together.

If a job on Press 1 takes 6 hours, then in 1 hour 1 6 1 6 of the job is completed. The part completed by Press 1 plus the part completed by Press 2 equals the amount completed together. New boat owners can obtain a validation decal from their County Treasurer when registering a new boat.

Validation decals are issued in 3-year blocks. The latest validation decals are red and will expire February 28, Under MCA , all motorboats, personal watercraft, motorized pontoons and sailboats 12 in length and longer must be permanently registered. This is done through the County Treasurer's Office.

In addition to state boating laws, local government and federal agency regulations may apply to boating activities in some areas. Contact the County Sheriff's Office or the federal agency for the area where you will be boating to find out if any additional regulations are in effect. MCA defines the laws for registering and operating watercraft in Montana. ARM Anyone 13 and 14 years old may operate a motorboat or a personal watercraft powered by a motor rated at more than 10 horsepower only if:.

A person must be 18 years or older to rent a motorboat or a personal watercraft powered by a motor rated at more than 10 horsepower. All required equipment see below and a copy of the rental agreement must be on board rented vessels. It is unlawful to operate or be in actual physical control of a motorboat, sailboat, water skis, surfboard, or similar device attached to a motorboat while under the influence of alcohol or drugs.

A person with an alcohol concentration of 0. Operating a vessel in a manner which may endanger the personal health or damage the property of any person is considered negligent operation. A boat's owner is liable for any injury or damage resulting from negligent operation. Observe all "no wake" and speed-limit signs located on the water. Boaters are responsible for any damage caused by their wake. Powerboats, sailboats and boats under sail may not be used to kill, capture, take, pursue, concentrate, drive, or stir up any upland game birds, game, or fur-bearing animals.

Motor-driven vehicles may not be used to drive, molest, flush or harass any game animal or game bird while hunting.

It is illegal to discharge any garbage, refuse, waste, or sewage into or near the water. Boats equipped with toilets or porta-potties must dispose of waste properly. Because there are so few marine pumpout stations in Montana, boaters should check on the local availability of waste disposal stations before using their on-board facilities.

It is illegal as well as unsafe to overpower a boat. The U. Coast Guard Capacity Plate on each boat provides the recommended horse power for that vessel. Letters of application must be sent at least 30 days prior to the scheduled event. Box , Helena, MT Boaters must stay at least feet away from a "diver down" flag. If a boat must approach this warning flag, it must do so at a "no wake" speed. Boating accident reports are required by law and provide valuable information for use in the prevention of future boating accidents.

An accident must be reported immediately to the local sheriffs office or game warden if it caused:. Sheriffs, peace officers, and U.

Coast Guard law enforcement officers also have authority to enforce these provisions. These rules of the road are the traffic laws of Montana's waterways. Like other traffic laws, they are legally binding on vessel operators. The rules dictate who has the right of way when vessels meet in open water and in crowded anchorages. Sailboats and manually powered vessels have the right of way over motorized boats in nearly all situations. Motorboats generally should stay clear of sailboats and manually powered vessels and not create a wake which may cause them trouble or to be swamped.

When overtaking another vessel, the boat being overtaken has the right of way and must hold course and speed. The passing boat is required to stay clear. When meeting head on, keep to the right. Boats going downstream have the right of way over boats going upstream. When two boats are meeting at right angles, the boat on the right the privileged vessel has the right of way.

The give-way vessel on the left must slow down and permit the privileged vessel to pass. Always operate a vessel at a safe speed so that you are able to stop within the assured visible distance ahead or take proper and effective action to avoid collision.

No wake speed is defined as a speed whereby there is no "white" water in the track or path of the vessel or in created waves immediate to the vessel. All watercraft operating on public lakes and reservoirs greater than 35 surface acres within the western fishing district are limited to no-wake speed from the shoreline to feet from the shoreline. The exceptions include:. All watercraft operating on public lakes and reservoirs in the western fishing district that are 35 acres or fewer of surface water are limited to a no-wake speed.

The following list of lakes has been determined 35 acres or fewer by means of the ,scale hydrography layer within the department's geographic information system GIS. Coast Guard approved personal flotation devices PFDs or life jackets must fit the intended wearer, be readily accessible, and be in good condition.

All motorboats must carry on board a U. Coast Guard approved fire extinguisher as listed below:. Motorboats less than 26 feet long must have at least one B-1 fire extinguisher. Exception: motorboats less than 26 feet long that are propelled by an outboard motor and are completely open construction no closed spaces where gasoline fumes may be trapped are not required to have a fire extinguisher. A fire extinguisher is classified by the type of fire it is meant to extinguish and its size.

Extinguishers approved for motorboats are hand-portable of either B-1 or B-II classification. Every inboard gasoline engine must be equipped with a backfire flame arrester that is securely attached to the carburetor and in proper working order. All boats of closed construction the engine or fuel compartments are not open to the atmosphere and which use gasoline as fuel must be equipped with a ventilation system to remove explosive vapors from the bilges of engine and fuel tank compartments.

The explosive vapors are heavier than air and accumulate in the bottom of the boat without proper venting, creating an extremely hazardous condition. Montana requires at least two ventilation intake ducts fitted with cowls or their equivalent to vent bilges and fuel tank compartments. At least one intake duct must be installed so that it extends to the point at least midway to the bilge, or at least below the level of the carburetor air intake.

At least one exhaust duct must be installed so as to extend to the lower portion of the bilge. The duct should not be located so that a normal accumulation of bilge water would obstruct it. Remember to adequately ventilate your boat before starting it by running your blower for at least 4 minutes - especially after fueling. Between sunset and sunrise and at other times of restricted visibility, vessels in operation must display navigational lights. All white lights required by the rules must be visible from a distance of at least two miles.

All colored lights must be visible for a distance of at least one mile. Manually propelled non-motorized boats may exhibit navigation lights or instead carry a white light which can be exhibited in time to prevent a collision. Boats at anchor outside of a designated mooring area must display an all-around white anchor light between sunset and sunrise. The following dams are closed to all boating, sailing, floating, and swimming or closed to all public access as marked by boat restraining systems or signs.

Closed to all public access below ordinary high-water mark from the dam to ' below the waterfalls. The area immediately above and below the dam is closed to all watercraft as posted or marked by boat restraining systems,.

Closed to all public access below ordinary high-water mark from the dam to ' below the dam from December 1 to April 1. Closed to all boating, sailing, floating, swimming, personal watercraft use, and waterfowl hunting. Closed to all public access below ordinary high-water mark from the south side of West Rosebud Creek from the powerhouse to the USGS concrete weir.

Closed to all public access below ordinary high-water mark from the dam to 4,' below the dam to the east end of the Tailrace Island adjacent to the Rainbow dam powerhouse. Closed to all public access below ordinary high-water mark from the dam to the east end of Ryan Island. The following public use restrictions are in effect for reasons of public health, safety or protection of property.

Only authorized exceptions such as search and rescue craft are exempt. Closed to motorboats over 10 horsepower. Exception: Missouri River down river from Broadwater-Gallatin county line.




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