An object with a mass of #3 kg# is hanging from an axle with a radius of #6 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel #3 cm#?

Question

1088 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-26T12:35:01

The work done is #=0.44J#

enter image source here

The load #=(3g)N#

Radius of axle #r=0.06m#

Radius of wheel #R=0.12m#

Taking moments about the center of the axle

#F*0.12=3*g*0.06#

#F=(3*g*0.06)/0.12=3/2g=14.7N#

The work done is

#W=F*d=14.7*0.03=0.44J#