An object with a mass of $3 kg$ is hanging from an axle with a radius of $6 cm$ . If the wheel attached to the axle has a radius of $12 cm$ , how much work would it take to turn the wheel $8 cm$ ?

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Answer 1 · 2017-06-15T05:45:10

The work is $=1.176J$

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The load $L=(3g)N$

Radius of axle $r=0.06m$

Radius of wheel $R=0.12m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.12=3*g*0.06$

$F=(3*g*0.06)/0.12=14.7N$

The force is $F=14.7N$

The distance is $d=0.08m$

The work is $W=F*d=14.7*0.08=1.176J$

An object with a mass of 3 kg3 kg is hanging from an axle with a radius of 6 cm6 cm. If the wheel attached to the axle has a radius of 12 cm12 cm, how much work would it take to turn the wheel 8 cm8 cm?