An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $16 c m$ $16 cm$ . If the wheel attached to the axle has a radius of $24 c m$ $24 cm$ , how much work would it take to turn the wheel $6 c m$ $6 cm$ ?

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Answer 1 · 2017-04-24T15:21:49

The work is $= 1.57 J$ $=1.57J$

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The load L=(4g)N#

Radius of axle $r = 0.16 m$ $r=0.16m$

Radius of wheel $R = 0.24 m$ $R=0.24m$

Taking moments about the center of the axle

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

$F \cdot 0.24 = 4 \cdot g \cdot 0.16$ $F*0.24=4*g*0.16$

$F = \frac{4 \cdot g \cdot 0.16}{0.2426} .13 N$ $F=(4*g*0.16)/0.2426.13N$

Distance is $d = 0.06 m$ $d=0.06m$

Work is $W = F d = 26.13 \cdot 0.06 = 1.57 J$ $W=Fd=26.13*0.06=1.57J$

An object with a mass of 4kg4 kg is hanging from an axle with a radius of 16cm16 cm. If the wheel attached to the axle has a radius of 24cm24 cm, how much work would it take to turn the wheel 6cm6 cm?