An object with a mass of #4 kg# is hanging from an axle with a radius of #18 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#?

Question

1118 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-18T14:50:52

The work done is #=9.41J#

enter image source here

The load #=4gN#

Radius of axle #r=0.18m#

Radius of wheel #R=0.24m#

Taking moments about the center of the axle

#F*0.24=4*g*0.18#

#F=(4*g*0.18)/0.24=3g=29.4N#

The work done is

#W=F*d#

#=29.4*0.32=9.41J#