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 $21 c m$ $21 cm$ , how much work would it take to turn the wheel $9 c m$ $9 cm$ ?

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Answer 1 · 2017-04-15T05:56:17

The work done is $= 2.52 J$ $=2.52J$

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

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

Radius of wheel $R = 0.21 m$ $R=0.21m$

Taking moments about the center of the axle

$F \cdot 0.21 = 4 \cdot g \cdot 0.15$ $F*0.21=4*g*0.15$

$F = \frac{4 \cdot g \cdot 0.15}{0.21} = 28 N$ $F=(4*g*0.15)/0.21=28N$

The distance is

$d = 0.09 m$ $d=0.09m$

The work done is

$W = F \cdot d = 28 \cdot 0.09 = 2.52 J$ $W=F*d=28*0.09=2.52J$

An object with a mass of 4 kg4kg4 kg is hanging from an axle with a radius of 15 cm15cm15 cm. If the wheel attached to the axle has a radius of 21 cm21cm21 cm, how much work would it take to turn the wheel 9 cm9cm9 cm?