Question

A person is making homemade ice cream. She exerts a force of magnitude 29 N on the free end of the crank handle on the ice-cream maker, and this end moves on a circular path of radius 0.27 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.9 s, what is the average power being expended

Answer 1

Answer:

The average power is 15.26 W.

Explanation:

Given that,

Force = 29 N

Radius = 0.27 m

Time = 1.9 s

We need to calculate the power

Using formula of power

$P=\dfrac{W}{t}$

$P=\dfrac{F\cos\theta \times s}{t}$

$P=\dfrac{F\cos\theta\times 2\pi r}{t}$

Here, $\theta=0^{\circ}$

Where, F = force

t = time

r = radius

Put the value into the formula

$P=\dfrac{29\cos0\times2\pi\times0.27}{1.9}$

$P=15.26\ W$

Hence,  The average power is 15.26 W.

Answer 2

Answer:

Explanation:

force, F = 29 N

radius, r = 0.27 m

time period, T = 1.9 s

Distance = 2 x π x r = 2 x 3.14 x 0.27 = 1.696 m

velocity, v = distance / time = 1.696 / 1.9 = 0.892 m/s

Power, P = F x v

P = 29 x 0.892

P = 25.88 Watt