An object with a mass of $3 kg$ is hanging from an axle with a radius of $3 cm$ . If the wheel attached to the axle has a radius of $28 cm$ , 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 · 2017-11-15T14:06:59

The work is $=5.54J$

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The load is $L=3gN$

The radius of the axle is $r=0.03m$

The radius of the wheel is $R=0.28m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.28=3g*0.03$

$F=3g*0.03/0.28=3.15N$

The force is $F=3.15N$

The distance is $d=2piR=2pixx0.28=(0.56pi)m$

The work is

$W=Fxxd=3.15*0.56pi=5.54J$

An object with a mass of 3 kg3 kg is hanging from an axle with a radius of 3 cm3 cm. If the wheel attached to the axle has a radius of 28 cm28 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?