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 $16 cm$ , 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 · 2017-04-23T06:02:56

The work is $=0.46J$

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The load L=(3g)N#

Radius of axle $r=0.02m$

Radius of wheel $R=0.16m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.16=3*g*0.02$

$F=(3*g*0.02)/0.16=3.675N$

Distance is $d=2pir=2*pi*0.02=0.04pim$

Work is $W=Fd=3.675*0.04pi=0.46J$

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 16 cm16 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?