A 312 kg merry-go-round in the shape of a horizontal disk with a radius of 1.1 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. How large a torque would have to be exerted to bring the merry-go-round from rest to an angular speed of 3.3 rad/s in 3.6 s?

172.90 N-m

Explanation:

Given

mass of merry-go-round

radius of disk

Final angular speed

time

initial angular speed

using

where =final angular speed

=Initial angular speed

=angular speed

=time

Torque can be written by

where I=moment of Inertia

some think that theories become laws, but theories and laws have separate and distinct roles in the scientific method. a law is a description of an observed phenomenon in the natural world that hold true every time it is tested. it doesn't explain why something is true; it just states that it is true.