An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $8 c m$ $8 cm$ . If the wheel attached to the axle has a radius of $48 c m$ $48 cm$ , how much work would it take to turn the wheel $36 c m$ $36 cm$ ?

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Answer 1 · 2017-05-12T15:50:05

The work is $= 2.35 J$ $=2.35J$

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The load L=(4g)N#

Radius of axle $r = 0.08 m$ $r=0.08m$

Radius of wheel $R = 0.48 m$ $R=0.48m$

Taking moments about the center of the axle

$F \cdot R = L \cdot r$ $F*R=L*r$

$F \cdot 0.48 = 4 \cdot g \cdot 0.08$ $F*0.48=4*g*0.08$

$F = \frac{4 \cdot g \cdot 0.08}{0.48} = 6.53 N$ $F=(4*g*0.08)/0.48=6.53N$

The work is

$W = F \cdot d$ $W=F*d$

$d = 0.36 m$ $d=0.36m$

$W = 6.53 \cdot 0.36 = 2.35 J$ $W=6.53*0.36=2.35J$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 8cm8 cm. If the wheel attached to the axle has a radius of 48cm48 cm, how much work would it take to turn the wheel 36cm36 cm?