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 $15 cm$ , 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 · 2017-08-24T14:22:15

The work done is $=307.9J$

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The load is $L=300gN$

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

The radius of the wheel is $R=0.15m$

The effort is $=FN$

Taking moments about the center of the axle

$F*0.15=300g*0.05$

$F=300g*0.05/0.15=980N$

The force is $F=980N$

The distance is $d=2pir=2*pi*0.05=0.1pi$

The work is $W=980*0.1pi=307.9J$

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 15 cm15 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?