Book edition 9th Edition

Author(s) Raymond A. Serway, John W. Jewett

Pages 1624 pages

ISBN 9781133947271

Answers without the blur.

Just sign up for free and you're in.

Short Answer

Question: Consider an object on a rotating disk a distance r from its centre, held in place on the disk by static friction. Which of the following statements is not true concerning this object? (a) If the angular speed is constant, the object must have constant tangential speed. (b) If the angular speed is constant, the object is not accelerated. (c) The object has a tangential acceleration only if the disk has an angular acceleration. (d) If the disk has an angular acceleration, the object has both a centripetal acceleration and a tangential acceleration. (e) The object always has a centripetal acceleration except when the angular speed is zero.

Answer

Among the given options, the statement, which is not true is option (b) if the angular speed is constant, the object is not accelerated.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Defining velocity and acceleration

Velocity of an object is a vector quantity that refers to the rate at which an object changes its position. Its formula is

$\overset{⇀}{V} = \frac{∆ x}{∆ t} \overset{⇀}{V} = velocity ∆ x = displacement ∆ t = time$

Acceleration in simple terms is the rate of change of velocity. It’s formula is:

$\overset{⇀}{a} = \frac{∆ x}{∆ t}$

It is also a vector quantity.

Step 2: Detailed explanation for the object having constant angular speed but nonzero acceleration

An object moving in a circular path undergoes a constant change In the direction of velocity. Change in the direction of velocity is acceleration. It is directed towards centre of path which is called as centripetal acceleration .

$a_{c} = \frac{v^{2}}{r} = r ω^{2}$

Tangential velocity of an object, $v_{t} = r ω$

Here ‘ $ω$ ’is angular velocity.

If ‘ $ω$ ’ is not constant, object will have both tangential and angular acceleration. So, among the given options the untrue statement is option (b). Even if ‘ $ω$ ’ is constant, object will still have centripetal acceleration. Thus option (b) is the correct option.

Find Study Materials for

Create Study Materials

Select your language

Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Defining velocity and acceleration

Step 2: Detailed explanation for the object having constant angular speed but nonzero acceleration

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Select your language

Physics For Scientists & Engineers

Answers without the blur.

Short Answer

Step by Step Solution

Step 1: Defining velocity and acceleration

Step 2: Detailed explanation for the object having constant angular speed but nonzero acceleration

Most popular questions for Physics Textbooks

Want to see more solutions like these?

Recommended explanations on Physics Textbooks

Work Energy and Power

Radiation

Astrophysics

Physics of Motion

Scientific Method Physics

Fluids

Torque and Rotational Motion

Nuclear Physics

Fields in Physics

Measurements

Space Physics

Electricity

Physical Quantities and Units

Medical Physics

Electrostatics

Further Mechanics and Thermal Physics

Mechanics and Materials

Engineering Physics

Energy Physics

Force

Particle Model of Matter

Waves Physics

Magnetism

Modern Physics

Atoms and Radioactivity

Dynamics

Electricity and Magnetism

Conservation of Energy and Momentum

Fundamentals of Physics

Kinematics Physics

Circular Motion and Gravitation

Linear Momentum

Rotational Dynamics

Oscillations

Translational Dynamics

Geometrical and Physical Optics

Thermodynamics

Magnetism and Electromagnetic Induction

Electromagnetism

Electric Charge Field and Potential

Turning Points in Physics