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An object with a mass of #4 kg# is hanging from an axle with a radius of #14 cm#. If the wheel attached to the axle has a radius of #27 cm#, how much work would it take to turn the wheel #9 cm#?

Answer 1

Charlotte Aaron

The work is #=1.83J#

The load L=(4g)N#

Radius of axle #r=0.14m#

Radius of wheel #R=0.27m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.27=4*g*0.14#

#F=(4*g*0.14)/0.27=20.3N#

The force is #=20.3N#

The distance is #d=0.09m#

The work is

#W=F*d=20.3*0.09=1.83J#

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Answer 2

William Audy

The work done to turn the wheel 9 cm is 64.3 joules.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.