An object with a mass of #5 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #38 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jul 2, 2016

Answer:

#~~73.85J#

Explanation:

Given

  • #"The radius of the axle " (r) =24cm0.24m#

  • #"The mass of the object " (m) =5kg#

We are to calculate the work done to lift the object by turning the wheel a length equal to the circumference of the axle.

#"Now circumference of the axle" (l)=2pir=2xxpixx0.24m#

Actually the work done occurs due to the lifting of the object against the gravitational pull by length #l=2pir#

So #"Work done"(W)=mxxgxx2pir#

#=5xx9.8xx2xx3.14xx0.24J~~73.85J#