An object with a mass of $3 kg$ is hanging from an axle with a radius of $2 cm$ . If the wheel attached to the axle has a radius of $1 cm$ , 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 · 2017-06-14T04:58:15

The work is $=7.39J$

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The load $L=(3g)N$

Radius of axle $r=0.02m$

Radius of wheel $R=0.01m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.01=3*g*0.02$

$F=(3*g*0.02)/0.01=58.8N$

The force is $F=58.8N$

The distance is $d=2*pi*0.02=0.04pi$

The work is $W=F*d=58.8*0.04pi=7.39J$

An object with a mass of 3 kg3 kg is hanging from an axle with a radius of 2 cm2 cm. If the wheel attached to the axle has a radius of 1 cm1 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?