An object with a mass of $3 kg$ is hanging from an axle with a radius of $3 cm$ . If the wheel attached to the axle has a radius of $24 cm$ , 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 · 2017-04-13T05:50:57

The work done is $=0.69J$

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The load $=(3g)N$

Radius of axle $r=0.03m$

Radius of wheel $R=0.24m$

Taking moments about the center of the axle

$F*0.24=3*g*0.03$

$F=(3*g*0.03)/0.24=3.675N$

The distance is

$d=2*pi*0.03=0.06pi$

The work done is

$W=F*d=3.675*0.06pi=0.69J$

An object with a mass of 3 kg3 kg is hanging from an axle with a radius of 3 cm3 cm. If the wheel attached to the axle has a radius of 24 cm24 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?