Question

A person is making homemade ice cream. She exerts a force of magnitude 22 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.28 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.3 s, what is the average power being expended

Answer 1

Answer:

The power is 29.76 J.

Explanation:

Given that,

Force = 22 N

Radius = 0.28 m

Time = 1.3 s

The force is always applied parallel to the motion of the handle.

So, angle is 0°.

We need to calculate the work done

Using formula of work done

$W= Fd\cos\theta$

Where, F = force

d = distance

Put the value into the formula

$W=22\times2\pi\times0.28\times\cos0^{\circ}$

$W=22\times2\pi\times0.28$

$W=38.70\ J$

We need to calculate the power

Using formula of power

$P=\dfrac{38.70}{1.3}$

$P=29.76\ J$

Hence, The power is 29.76 J.