A 210-kg merry-go-round in the shape of a uniform, solid, horizontal disk of radius 1.50 m is set in motion by wrapping a rope about the rim of the disk and pulling on the rope. What constant force would have to be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.600 rev/s in 2.00 s

The value of the constant force is .

Explanation:

Given:

Mass of the merry-go-round,

Radius of the horizontal disk,

Time required,

Angular speed,

Torque on an object is given by

where is the moment of inertia of the object, is the  angular acceleration and is the force on the disk.

The moment of inertia of the horizontal disk is given by

and the angular acceleration is given by

Substituting all these values in equation (1), we have

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​