A person is making homemade ice cream. She exerts a force of magnitude 22 N on the free end of the crank handle, and this end moves in 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 1.3s, What is the average power being expended?© BrainMass Inc. brainmass.com December 24, 2021, 4:51 pm ad1c9bdddf
SOLUTION This solution is FREE courtesy of BrainMass!
you are asked to calculate average power
power = work done/ time taken to do that work
Now, to find work done,
work done = force * distance
distance = 2 * pi * radius
(since the crank end moves in a circular fashion, you should convert the perimeter, to find the distance.
work done = 22 N * 2 * (22/7) * 0.28 = 22* 1.66 N-m
However, note that the crank handle is moved every 1.3 sec, it means that the above amount of work is done in 1.3 sec
SO what is the work done in 1 sec? that should be the answer to the average power
power = work/time = 22 * 1.66/(1.3) = .... N-m/sec
please simplify and find the number!
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