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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 0.26 m. The force is always applied parallel to the motion of the handle. If the handle is turned once every 1.1 s, what is the average power being expended?

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boffeemadrid

Answer:

32.67255 W

Explanation:

F = Force  = 22 N

r = Radius of crank = 0.26 m

s = Displacement = [tex]2\pi r[/tex]

[tex]\theta[/tex] = Angle = 0

t = Time taken = 1.1 s

Work done is given by

[tex]W=Fscos\theta\\\Rightarrow W=22\times 2\pi\times 0.26\times cos0\\\Rightarrow W=35.93981[/tex]

Power is given by

[tex]P=\dfrac{W}{t}\\\Rightarrow P=\dfrac{35.93981}{1.1}\\\Rightarrow P=32.67255\ W[/tex]

The average power being expended is 32.67255 W

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