An object with a mass of #4 kg# is hanging from an axle with a radius of #4 cm#. If the wheel attached to the axle has a radius of #24 cm#, how much work would it take to turn the wheel #32 cm#?

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Answer 1 · 2017-12-29T09:01:48

The work is #=2.1J#

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The load is #L=4gN#

The radius of the axle is #r=0.04m#

The radius of the wheel is #R=0.24m#

The effort is #=FN#

The acceleration due to gravity is #g=9.8ms^-2#

Taking moments about the center of the axle

#F*0.24=4g*0.04#

#F=(4g*0.04)/0.24=6.53N#

The force is #F=6.53N#

The distance is #d=0.32m#

The work done is

#W=F*d=6.53*0.32=2.1J#