Question

A person is making homemade ice cream. She exerts a force of magnitude 26 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.26 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 2.0 s, what is the average power being expended?

Answer 1

P = 31.83 W

Step-by-step explanation:

Our data are,

Magnitude of the force F = 26 N

Radius of the circular path r = 0.26 m

The angle between force and handle
`\theta = 0`°

Time t = 2 s

We know that the formula to find the velocity is given by

Velocity
`v = (2\pi r)/(t)`

`v= (2\pi r)/(t)`

`v=(2 \pi 0.26)/(2)`

`v= 0.8168m/s`

We know also that the formula to find the power is given by,

`P = F*v`

`P = (26)(0.8168)`

`P = 31.83 W`