An object with a mass of $300 kg$ is hanging from an axle with a radius of $5 cm$ . 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 · 2017-11-10T06:26:32

The work is $=923.6J$

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The load is $L=300gN$

The radius of the axle is $r=0.05m$

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

$F*0.12=300g*0.05$

$F=300g*0.05/0.12=1225N$

The force is $F=1225N$

The distance is $d=2piR=2pixx0.12=(0.24pi)m$

The work is

$W=Fxxd=1225*0.24pi=923.6J$

An object with a mass of 300 kg300 kg is hanging from an axle with a radius of 5 cm5 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?