An object with a mass of $4 k g$ $4 kg$ is hanging from an axle with a radius of $18 c m$ $18 cm$ . 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 · 2017-07-07T06:41:15

The work is $= 1.76 J$ $=1.76J$

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

Radius of axle $r = 0.18 m$ $r=0.18m$

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

Taking moments about the center of the axle

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

$F \cdot 0.24 = 4 \cdot g \cdot 0.18$ $F*0.24=4*g*0.18$

$F = \frac{4 \cdot g \cdot 0.18}{0.24} = 29.4 N$ $F=(4*g*0.18)/0.24=29.4N$

The force is $F = 29.4 N$ $F=29.4N$

The distance is $d = 0.06 m$ $d=0.06m$

The work is

$W = F d = 29.4 \cdot 0.06 = 1.76 J$ $W=Fd=29.4*0.06=1.76J$

An object with a mass of 4 kg4kg4 kg is hanging from an axle with a radius of 18 cm18cm18 cm. If the wheel attached to the axle has a radius of 24 cm24cm24 cm, how much work would it take to turn the wheel 6 cm6cm6 cm?