Question

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

Name: Problem 62, Chapter 6: Physics
Uploaded: 2020-04-10T22:07:49-08:00
Duration: 47 s
Channel: Adnan Gill
Description: 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?

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

Physics

John D. Cutnell,… 11th Edition

Chapter 6, Problem 62

Instant Answer

Solved by Expert Adnan Gill

04/10/2020

Step 1

First, we need to find the distance traveled by the end of the handle in one full rotation. Since it moves in a circular path, the distance is equal to the circumference of the circle, which is given by the formula: Distance = 2 * π * radius Show more…

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

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Key Concepts

Circular Motion and Circumference

In circular motion, when a force is applied along a circular path, the distance over which the force acts in one complete revolution is the circumference of the circle, which is calculated as 2? times the radius. This concept is crucial when determining the total displacement in scenarios involving rotational motion.

Work

Work is the energy transfer that occurs when a force is applied over a distance. In physics, work is calculated as the product of the force and the distance moved in the direction of the force, which is essential for determining how much energy is imparted by the force during any movement.

Power

Power is defined as the rate at which work is done, meaning it measures the amount of energy transferred or converted per unit time. In problems involving mechanical systems, calculating the average power involves dividing the total work done by the time period over which that work is performed.

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