An object with a mass of $5 kg$ is hanging from an axle with a radius of $8 cm$ . If the wheel attached to the axle has a radius of $32 cm$ , 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 · 2017-07-17T06:14:55

The work is $=6.16J$

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The load $L=(5g)N$

Radius of axle $r=0.08m$

Radius of wheel $R=0.32m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.32=5g*0.08$

$F=(5*g*0.08)/0.32=12.25N$

The force is $F=12.25N$

The distance is $d=2pir=2*pi*0.08=0.16pim$

The work is

$W=Fd=12.25*0.16pi=6.16J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 8 cm8 cm. If the wheel attached to the axle has a radius of 32 cm32 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?