Question

You are working out on a rowing machine. Each time you pull the rowing bar (which simulates the oars) toward you, it moves a distance of 1.1 m in a time of 1.3 s. The readout on the display indicates that the average power you are producing is 92 W. What is the magnitude of the force that you exert on the handle?

Answer 1

Answer:

The magnitude of force exerted on the handle is 108.73 N

Explanation:

To determine the magnitude of force exerted, we will use the formula relating Power and Force.

Power is the rate at which work is done. Power can be calculated from the formula

Power = Work / Time

But, Work = Force × Distance

Hence,

Power is given by the formula

$P = \frac{F \times s}{t}$

Where P is the Power

F is the force

s is the distance

and t is the time

From $P = \frac{F \times s}{t}$,

Then we can write that

$F = \frac{P \times t}{s}$

From the question,

Distance, s = 1.1 m

Time, t = 1.3 s

Power, P = 92 W

Putting these values into the formula, we get

$F = \frac{92 \times 1.3}{1.1}$

$F = \frac{119.6}{1.1}$

$F = 108.73N$

Hence, the magnitude of force exerted on the handle is 108.73 N.