An object with a mass of $8 kg$ is hanging from an axle with a radius of $25 cm$ . If the wheel attached to the axle has a radius of $35 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-05-07T14:10:44

The work is $=88J$

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The load L=(8g)N#

Radius of axle $r=0.25m$

Radius of wheel $R=0.35m$

Taking moments about the center of the axle

$F*R=L*r$

$F*0.35=8*g*0.25$

$F=(8*g*0.25)/0.35=56N$

The distance is

$d=2*pi*0.25=1.57m$

The work done is

$W=Fd=56*1.57=88J$

An object with a mass of 8 kg8 kg is hanging from an axle with a radius of 25 cm25 cm. If the wheel attached to the axle has a radius of 35 cm35 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?