An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $15 c m$ $15 cm$ . If the wheel attached to the axle has a radius of $27 c m$ $27 cm$ , how much work would it take to turn the wheel $9 c m$ $9 cm$ ?

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Answer 1 · 2017-03-31T05:43:16

The work is $= 1.96 J$ $=1.96J$

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The load $= (4 g) N$ $=(4g)N$

Radius of axle $r = 0.15 m$ $r=0.15m$

Radius of wheel $R = 0.27 m$ $R=0.27m$

Taking moments about the center of the axle

$F \cdot 0.27 = 4 \cdot g \cdot 0.15$ $F*0.27=4*g*0.15$

$F = \frac{4 \cdot g \cdot 0.15}{0.27} = 21.8 N$ $F=(4*g*0.15)/0.27=21.8N$

The distance is $= 0.09 m$ $=0.09m$

The work done is

$W = F \cdot d = 21.8 \cdot 0.09 = 1.96 J$ $W=F*d=21.8*0.09=1.96J$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 15cm15 cm. If the wheel attached to the axle has a radius of 27cm27 cm, how much work would it take to turn the wheel 9cm9 cm?