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 $8 c m$ $8 cm$ , how much work would it take to turn the wheel $6 c m$ $6 cm$ ?

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Answer 1 · 2017-05-25T16:20:25

The work is $= 4.7 J$ $=4.7J$

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The load L=(4g)N#

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

Radius of wheel $R = 0.08 m$ $R=0.08m$

Taking moments about the center of the axle

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

$F \cdot 0.08 = 4 \cdot g \cdot 0.16$ $F*0.08=4*g*0.16$

$F = \frac{4 \cdot g \cdot 0.16}{0.08} = 78.4 N$ $F=(4*g*0.16)/0.08=78.4N$

The force is $= 78.4 N$ $=78.4N$

The work is

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

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

The work is

$W = 78.4 \cdot 0.06 = 4.7 J$ $W=78.4*0.06=4.7J$

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 8cm8 cm, how much work would it take to turn the wheel 6cm6 cm?