BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A 150.-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 must be exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.500 rev/s in 2.00 s?

To determine
The force exerted on the rope to bring the merry-go-round from rest to an angular speed of 0.500rev/s in 2.00s .

Explanation

Given info: The mass of the merry-go-round is 150kg , the radius of the merry-go-round is 1.50m , final angular speed of the merry-go-round is 0.500rev/s , and the time for the merry-go-round to reach an angular speed is 2.00s .

Explanation: The angular acceleration of the merry-go-round is defined as α=(ωfωi)/Δt with zero initial angular velocity and its moment of inertia is written as I=MR2/2 . The torque of the merry-go-round is τ=rF=Iα and from these expressions, the force exerted on the rope is determined.

The formula for the force exerted on the rope to bring the merry-go-round from rest to an angular speed is,

F=(MR2/2)(ωfΔt)R

  • M is mass of the merry-go-round.
  • R is radius of the merry-go-round.
  • ωf is final angular speed of the merry-go-round.
  • Δt is the time for the merry-go-round to reach an angular speed.

Substitute 150kg for M , 1

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Anticodons pair with ___ . a. mRNA codons b. DNA codons c. RNA anticodons d. amino acids

Biology: The Unity and Diversity of Life (MindTap Course List)

The theory that vitamin C prevents or cures colds is well supported by research. T F

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What is the declination of the sun on october 30th?

Fundamentals of Physical Geography

What impact has recombinant DNA technology had on genetics and society?

Human Heredity: Principles and Issues (MindTap Course List)

Figure P24.22 represents a graph of the electric potential in a region of space versus position x, where the el...

Physics for Scientists and Engineers, Technology Update (No access codes included)