An object with a mass of 300 kg is hanging from an axle with a radius of 3 cm. If the wheel attached to the axle has a radius of 96 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Feb 22, 2018

The work is =554.2J

Explanation:

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The load is L=300gN

The radius of the axle is r=0.03m

The radius of the wheel is R=0.96m

The effort is =FN

The acceleration due to gravity is g=9.8ms^-2

Taking moments about the center of the axle

F*0.96=300g*0.03

F=(300g*0.03)/0.96=91.875N

The force is F=91.875N

The distance is d=2piR=2*pi*0.96m

The work done is

W=F*d=91.875*2*pi*0.96=554.2J