One horsepower is equal to 745.7 W. If a horse is pulling a force of about 800 N, what is its speed?
Question
One horsepower is equal to 745.7 W. If a horse is pulling a force of about 800 N, what is its speed?
Solution
To solve this problem, we need to use the formula for power, which is:
Power = Force x Velocity
We know the power (in horsepower) and the force (in Newtons), and we need to find the velocity (in meters per second).
First, we need to convert the power from horsepower to watts, using the conversion factor given in the question:
1 horsepower = 745.7 watts
So, if the horse is exerting a power of 1 horsepower, this is equivalent to 745.7 watts.
Next, we rearrange the formula for power to solve for velocity:
Velocity = Power / Force
Substituting the given values:
Velocity = 745.7 watts / 800 Newtons = 0.932125 meters per second
So, the horse's speed is approximately 0.932 meters per second.
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