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 1.2 m in a time of 1.4 s. The readout on the display indicates that the average power you are producing is 78 W. What is the magnitude of the force that you exert on the handle?
No answers, just formulas.
To find the magnitude of the force exerted on the handle, we can use the formula for power:
Power = Work / Time
In this case, the work is done when pulling the rowing bar towards you, and it can be calculated using the formula:
Work = Force * Distance
So, rewriting the formula for power in terms of work and time:
Power = (Force * Distance) / Time
To solve for Force, we can rearrange the formula:
Force = (Power * Time) / Distance
Now we can substitute the given values into the formula:
Power = 78 W
Time = 1.4 s
Distance = 1.2 m
Force = (78 W * 1.4 s) / 1.2 m