An object with a mass of $4 kg$ is hanging from an axle with a radius of $8 cm$ . If the wheel attached to the axle has a radius of $8 cm$ , how much work would it take to turn the wheel $36 cm$ ?

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Answer 1 · 2017-06-22T09:37:36

The work is $=14.1J$

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The load $L=(4g)N$

Radius of axle $r=0.08m$

Radius of wheel $R=0.08m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.08=4*g*0.08$

$F=(4*g*0.08)/0.08=39.2N$

The force is $F=39.2N$

The distance is $d=0.36m$

The work is $W=Fd=39.2*0.36=14.1J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 8 cm8 cm. If the wheel attached to the axle has a radius of 8 cm8 cm, how much work would it take to turn the wheel 36 cm36 cm?