An object with a mass of #8 kg# is hanging from an axle with a radius of #18 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Feb 2, 2018

Answer:

The work is #=88.67J#

Explanation:

www.odicis.org

The load is #L=8gN#

The radius of the axle is #r=0.18m#

The radius of the wheel is #R=0.45m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.45=8g*0.18#

#F=(8g*0.18)/0.45=31.36N#

The force is #F=31.36N#

The distance is #d=2*pi*0.45m#

The work is

#W=Fxxd=31.36*0.90pi=88.67J#