Total force resisting the forward motion of a boat at a speed

In summary, to determine the total force resisting the forward motion of a boat at a top speed of 70.0 km/h, one must consider the power output of the engine, which in this case is 100kW. This power must be equal to the resisting power of the water in order to maintain constant velocity. The work done by the water over a distance 'x' can be represented as F*x, and this can help calculate the power.
  • #1
sparkle123
175
0
Problem:
A boat powered by an engine rated at 100 kW can reach a top speed of 70.0 km/h. What is the total force resisting the forward motion of the boat at this speed?

I don't know which equations to use :(
 
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  • #2
Well if I am correct, then at that max velocity the engine is using all of its 100kW of power to maintain that speed. So you know that to maintain constant velocity the power output of the engine must be equal to the resisting power of the water.

Now if the work done over any distance 'x' by the water is F*x, then what is the power?
 
  • #3
Got it! Thanks for your help!
 

1. What is the total force that resists the forward motion of a boat at a certain speed?

The total force resisting the forward motion of a boat at a speed is known as drag. It is a combination of different forces, such as frictional drag, wave-making drag, and air resistance, that act in the opposite direction to the boat's motion.

2. How is the total force of drag affected by the speed of the boat?

The total force of drag increases as the speed of the boat increases. This is because at higher speeds, there is a larger surface area of the boat coming into contact with the water, causing more frictional drag. Additionally, higher speeds also create larger waves, resulting in more wave-making drag.

3. What factors can influence the total force of drag on a boat?

The total force of drag on a boat can be influenced by several factors, including the shape and size of the boat, the type of water it is moving through, and the speed of the boat. Other factors such as wind, temperature, and water conditions can also affect drag.

4. How can the total force of drag be reduced to increase a boat's speed?

To reduce the total force of drag on a boat, it is important to minimize the surface area of the boat that comes into contact with the water. This can be achieved by designing a streamlined hull shape and keeping the boat clean and free of any debris or algae. Additionally, reducing the weight of the boat and using more efficient propulsion systems can also help decrease drag and increase speed.

5. Is there a way to measure the total force of drag on a boat at a certain speed?

Yes, the total force of drag on a boat can be measured using a variety of methods, such as towing tests, wind tunnel experiments, or computational fluid dynamics simulations. These methods can provide valuable data on the amount of drag experienced by a boat at different speeds, which can then be used to optimize its design and performance.

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