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 $12 cm$ , 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 · 2018-05-10T16:42:20

The work is $=3.69J$

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The load is $L=3gN$

The radius of the axle is $r=0.02m$

The radius of the wheel is $R=0.12m$

The effort is $=FN$

The acceleration due to gravity is $g=9.8ms^-2$

Taking moments about the center of the axle

$F*0.12=3g*0.02$

$F=(3g*0.02)/0.12=4.9N$

The force is $F=4.9N$

The distance is $d=2piR=2*pi*0.12=0.75m$

The work is

$W=Fxxd=4.9*0.75=3.69J$

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 12 cm12 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?