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 #2 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jan 30, 2018

Answer:

The work is #=886.7J#

Explanation:

www.odicis.org

The load is #L=5gN#

The radius of the axle is #r=0.24m#

The radius of the wheel is #R=0.02m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.02=5g*0.24#

#F=(5g*0.24)/0.02=588N#

The force is #F=588N#

The distance is #d=2*pi*0.24m#

The work is

#W=Fxxd=588*0.48pi=886.7J#