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) What is the tangential acceleration of a bug on the rim of a 10.0-in.-diameter disk if the disk accelerates uniformly from rest to an angular velocity of 78.0 rev/min in 3.00 s? (b) When the disk is at its final speed, what is the tangential velocity of the bug? One second after the bug starts from rest, what are its (c) tangential acceleration, (d) centripetal acceleration, and (e) total acceleration?

a)

To determine
The tangential acceleration of the bug.

Explanation

Given Info The diameter of the disk is 10.0in , the disk accelerates from rest to 78.0revmin-1 in time 3.00s .

Explanation:

The tangential acceleration of the disk is,

at=rα

  • r is the radius of the disk
  • α is the angular acceleration of the disk

The angular acceleration of the disk is given by,

α=ωfωit

  • ωf is the final angular velocity
  • ωi is the initial angular velocity
  • t is the time taken

Using (1) the tangential acceleration of the disk is,

at=r(ωfωit)

In terms of diameter of the disk the tangential acceleration will be,

at=(d2)(ωfωit)

  • d is the diameter of the disk.

Substitute 10.0in for d , 78.0revmin-1 for ωf , 0 for ωi , 3

b)

To determine
The tangential velocity when the disk is at its final angular speed.

c)

To determine
The tangential acceleration one second after the bug starts from rest.

d)

To determine
The centripetal acceleration of the bug one second after the bug starts from rest.

e)

To determine
The total acceleration of the bug one second after the bug starts from rest.

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

The following are complementary proteins: pot roast and chicken pot roast and carrots rice and French fries pea...

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

How many autosomes are present in a body cell of a human being? In a gamete?

Human Heredity: Principles and Issues (MindTap Course List)

List at least three major risk factors for developing severe hyperbilirubinemia.

Nutrition Through the Life Cycle (MindTap Course List)

The top end of a spring is held fixed. A block is hung on the bottom end as in Figure OQ15.13a, and the frequen...

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