An object with a mass of $300 kg$ is hanging from an axle with a radius of $3 cm$ . If the wheel attached to the axle has a radius of $96 cm$ , 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 · 2018-02-22T17:13:08

The work is $=554.2J$

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The load is $L=300gN$

The radius of the axle is $r=0.03m$

The radius of the wheel is $R=0.96m$

The effort is $=FN$

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

Taking moments about the center of the axle

$F*0.96=300g*0.03$

$F=(300g*0.03)/0.96=91.875N$

The force is $F=91.875N$

The distance is $d=2piR=2*pi*0.96m$

The work done is

$W=F*d=91.875*2*pi*0.96=554.2J$

An object with a mass of 300 kg300 kg is hanging from an axle with a radius of 3 cm3 cm. If the wheel attached to the axle has a radius of 96 cm96 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?