An object with a mass of $5 kg$ is hanging from an axle with a radius of $24 cm$ . If the wheel attached to the axle has a radius of $12 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-03-30T05:28:57

The work is $=147.8J$

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The load $=(5g)N$

Radius of axle $r=0.24m$

Radius of wheel $R=0.12m$

Taking moments about the center of the axle

$F*0.12=5*g*0.24$

$F=(5*g*0.24)/0.12=10g=98N$

The distance is $=2*pi*0.24=0.48pi$

The work done is

$W=F*d=98*0.48pi=147.8J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 24 cm24 cm. If the wheel attached to the axle has a radius of 12 cm12 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?