An object with a mass of $4 kg$ is hanging from an axle with a radius of $16 cm$ . If the wheel attached to the axle has a radius of $8 cm$ , how much work would it take to turn the wheel $6 cm$ ?

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Answer 1 · 2017-05-25T16:20:25

The work is $=4.7J$

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The load L=(4g)N#

Radius of axle $r=0.16m$

Radius of wheel $R=0.08m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.08=4*g*0.16$

$F=(4*g*0.16)/0.08=78.4N$

The force is $=78.4N$

The work is

$W=F*d$

The distance is $=0.06m$

The work is

$W=78.4*0.06=4.7J$

An object with a mass of 4 kg4 kg is hanging from an axle with a radius of 16 cm16 cm. If the wheel attached to the axle has a radius of 8 cm8 cm, how much work would it take to turn the wheel 6 cm6 cm?