An object with a mass of $2 kg$ is hanging from an axle with a radius of $24 cm$ . If the wheel attached to the axle has a radius of $36 cm$ , 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 · 2017-06-21T18:35:31

The work is $=19.7J$

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The load $L=(2g)N$

Radius of axle $r=0.24m$

Radius of wheel $R=0.36m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.36=2*g*0.24$

$F=(2*g*0.24)/0.36=13.1N$

The force is $F=13.1N$

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

The work is $W=Fd=13.1*0.48pi=19.7J$

An object with a mass of 2 kg2 kg is hanging from an axle with a radius of 24 cm24 cm. If the wheel attached to the axle has a radius of 36 cm36 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?