An object with a mass of $8 kg$ is hanging from an axle with a radius of $5 cm$ . If the wheel attached to the axle has a radius of $25 cm$ , 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 · 2017-10-03T08:24:50

The work is $=24.6J$

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The load is $L=8gN$

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

The radius of the wheel is $R=0.25m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.25=8g*0.05$

$F=8g*0.05/0.25=15.68N$

The force is $F=15.68N$

The distance is $d=2piR=2*pi*0.25=(0.5pi)m$

The work is $W=Fd=15.68*0.5pi=24.6J$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 5 cm5 cm. If the wheel attached to the axle has a radius of 25 cm25 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?