An object with a mass of #7 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #56 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
May 14, 2016

Answer:

34.496J

Explanation:

The mass of the object lifted = #(m)=7kg#

The radius of the axle #(r)=8cm=0.08m#

The radius of the Wheel attached with the axle

#R=56cm=0.56m#

We are to find out the work done to turn the wheel a length

equal to the circumference of the axle. When turning of axle

equal to its circumference#(2pir)# occurs ,the weight is lifted

to the same height# (h= "circumference of axle")# against the gravity .

Hence the work done #W=mgh=mxxgxx2pir=7xx9.8xx2xx22/7xx0.08=34.496J#