An object with a mass of #4 kg# is hanging from an axle with a radius of #16 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel #8 cm#?

1 Answer
Apr 4, 2018

Answer:

The work is #=4.18J#

Explanation:

www.odicis.org

The load is #L=4gN#

The radius of the axle is #r=0.16m#

The radius of the wheel is #R=0.12m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.12=4g*0.16#

#F=(4g*0.16)/0.12=52.3N#

The force is #F=52.3N#

The distance is #d=0.08m#

The work is

#W=Fxxd=52.3*0.08=4.18J#