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 horizontal 800.-N merry-go-round of radius 1.50 m is started from rest by a constant horizontal force of 50.0 N applied tangentially to the merry-go-round. Find the kinetic energy of the merry-go-round after 3.00 s. (Assume it is a solid cylinder.)

To determine
The kinetic energy of the merry-go-round after 3.00s .

Explanation

Given info: The radius of the merry-go-round is 1.50m , its weight is 800N , the constant horizontal force is 50.0N , and the acceleration due to gravity is 9.80m/s2 , initial angular speed is 0rad/s , the angular acceleration of the merry-go-round is 0.817rad/s2 , the time for the merry-go-round to reach such final angular speed is 3.00s , final angular speed of the merry-go-round is 2.45rad/s , radius of the merry-go-round is 1.50m , its weight is 800N and the acceleration due to gravity is 9.80m/s2 .

Explanation: The angular acceleration of the cylindrical shaped merry-go-round is α=τ/I=RF/(MR2/2)=2F/MR . For the mass of the merry-go-round, M=W/g . The kinetic energy of the merry-go-round is KEr=Iω2/2=MR2ω2/4 .

The formula for the angular acceleration of the merry-go-round,

α=2FgWR

  • F is constant horizontal force.
  • g is acceleration due to gravity.
  • W is weight of the merry-go-round.
  • R is merry-go-round.

Substitute 50.0N for F , 9.80m/s2 for g , 800N for W , 1.50m for R to find α .

α=2(50.0N)(9.80m/s2)(800N)(1.50m)=0.817rad/s2

Thus, the angular acceleration of the merry-go-round is 0.817rad/s2

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

White blood cells include all except the following: phagocytes killer T-cells B-cells antibodies

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

In the following diagram, designate each daughter cell as diploid (2n) or haploid (n).

Human Heredity: Principles and Issues (MindTap Course List)

Name each of the compounds a. Fe2O3 b. FeO c. SnCl4 d. Cu2S

General, Organic, and Biological Chemistry

Consider the rectangular cabinet of Problem 36 shown in Figure P12.36, but with a force F applied horizontally ...

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