An object with a mass of $5 kg$ is hanging from an axle with a radius of $18 cm$ . If the wheel attached to the axle has a radius of $42 cm$ , how much work would it take to turn the wheel $12 cm$ ?

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Answer 1 · 2017-07-05T16:15:30

The work is $=2.52J$

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The load $L=(5g)N$

Radius of axle $r=0.18m$

Radius of wheel $R=0.42m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.42=5*g*0.18$

$F=(5*g*0.18)/0.42=21N$

The force is $F=21N$

The distance is $d=0.12m$

The work is

$W=Fd=21*0.12=2.52J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 18 cm18 cm. If the wheel attached to the axle has a radius of 42 cm42 cm, how much work would it take to turn the wheel 12 cm12 cm?