Question

A 207-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 0.750 rev/s in 2.00 s

Answer 1

366 N

Step-by-step explanation:

τ = Iα

FR = ½mR²α

F = ½mR(Δω/t)

F = ½(207)(1.50)(0.75)(2π) /2.00

F = 365.79919...