An object with a mass of $4 kg$ is hanging from an axle with a radius of $15 cm$ . If the wheel attached to the axle has a radius of $21 cm$ , how much work would it take to turn the wheel $9 cm$ ?

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Answer 1 · 2017-04-15T05:56:17

The work done is $=2.52J$

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The load $=(4g)N$

Radius of axle $r=0.15m$

Radius of wheel $R=0.21m$

Taking moments about the center of the axle

$F*0.21=4*g*0.15$

$F=(4*g*0.15)/0.21=28N$

The distance is

$d=0.09m$

The work done is

$W=F*d=28*0.09=2.52J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 15 cm15 cm. If the wheel attached to the axle has a radius of 21 cm21 cm, how much work would it take to turn the wheel 9 cm9 cm?