1st Edition

ISBN: 9781337684668

Author: Katz

Publisher: VST

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Textbook Question

Chapter 12, Problem 64PQ

A potter’s wheel rotates with an angular acceleration α = 4at³ − 3bt², where t is the time in seconds, a and b are constants, and α has units of radians per second squared. The initial position of the wheel is θ₀ and the initial angular velocity is ω₀. Obtain expressions for the angular velocity and the angular displacement of the wheel as a function of time.

Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .

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Chapter 12 Solutions

EBK WEBASSIGN FOR KATZ'S PHYSICS FOR SC

Ch. 12.1 - Figure 12.5 shows two rotating objects. Indicate...Ch. 12.2 - Prob. 12.2CE Ch. 12.2 - Prob. 12.3CE Ch. 12.2 - Prob. 12.4CE Ch. 12.2 - Prob. 12.5CE Ch. 12.5 - For each exercise shown in Figure 12.22, how does...Ch. 12 - Often, we model the Moon as a particle in a...Ch. 12 - Suppose a satellite orbits the Earth such that it...Ch. 12 - Prob. 3PQ Ch. 12 - Prob. 4PQ

Ch. 12 - A ceiling fan is rotating counterclockwise with a...Ch. 12 - As seen from above the Earths North Pole, the...Ch. 12 - A rotating objects angular position is given by...Ch. 12 - A rotating objects angular position is given by...Ch. 12 - Jupiter rotates about its axis once every 9 hours...Ch. 12 - Prob. 10PQ Ch. 12 - Prob. 11PQ Ch. 12 - Prob. 12PQ Ch. 12 - Prob. 13PQ Ch. 12 - Prob. 14PQ Ch. 12 - Prob. 15PQ Ch. 12 - A disk rolls up an inclined plane as shown in...Ch. 12 - Jeff, running outside to play, pushes on a...Ch. 12 - A potters wheel rotating at 240 rev/min is...Ch. 12 - Friction in an old clock causes it to lose 1...Ch. 12 - A wheel starts from rest and in 12.65 s is...Ch. 12 - Prob. 21PQ Ch. 12 - Starting from rest, a wheel reaches an angular...Ch. 12 - A potters wheel is rotating with an angular...Ch. 12 - The angular speed of a wheel is given by (t) =...Ch. 12 - Prob. 25PQ Ch. 12 - Prob. 26PQ Ch. 12 - An electric food processor comes with many...Ch. 12 - Prob. 28PQ Ch. 12 - A bicyclist is testing a new racing bike on a...Ch. 12 - Prob. 30PQ Ch. 12 - A disk is initially at rest. A penny is placed on...Ch. 12 - Prob. 32PQ Ch. 12 - Consider again the two wind turbines in Problem...Ch. 12 - Consider again the two wind turbines in Problem...Ch. 12 - In testing an automobile tire for proper...Ch. 12 - Prob. 36PQ Ch. 12 - A merry-go-round at a childrens park begins at...Ch. 12 - A wheel rotating at a constant rate of 1850...Ch. 12 - Why are doorknobs placed on the edge opposite the...Ch. 12 - Prob. 40PQ Ch. 12 - Prob. 41PQ Ch. 12 - Prob. 42PQ Ch. 12 - A wheel of inner radius r1 = 15.0 cm and outer...Ch. 12 - A uniform plank 6.0 m long rests on two supports,...Ch. 12 - Prob. 45PQ Ch. 12 - Prob. 46PQ Ch. 12 - Prob. 47PQ Ch. 12 - Prob. 48PQ Ch. 12 - Prob. 49PQ Ch. 12 - Prob. 50PQ Ch. 12 - Prob. 51PQ Ch. 12 - Given a vector A=4.5+4.5j and a vector B=4.5+4.5j,...Ch. 12 - A square plate with sides 2.0 m in length can...Ch. 12 - Prob. 54PQ Ch. 12 - A disk with a radius of 4.5 m has a 100-N force...Ch. 12 - Disc jockeys (DJs) use a turntable in applying...Ch. 12 - Prob. 57PQ Ch. 12 - Prob. 58PQ Ch. 12 - A wheel initially rotating at 85.0 rev/min...Ch. 12 - Prob. 60PQ Ch. 12 - A centrifuge used for training astronauts rotating...Ch. 12 - Problems 62 and 63 are paired. 62. C A disk is...Ch. 12 - Prob. 63PQ Ch. 12 - A potters wheel rotates with an angular...Ch. 12 - Prob. 65PQ Ch. 12 - Prob. 66PQ Ch. 12 - Prob. 67PQ Ch. 12 - Lara is running just outside the circumference of...Ch. 12 - The propeller of an aircraft accelerates from rest...Ch. 12 - A ball rolls to the left along a horizontal...Ch. 12 - Three forces are exerted on the disk shown in...Ch. 12 - Consider the disk in Problem 71. The disks outer...Ch. 12 - Prob. 73PQ Ch. 12 - Prob. 74PQ Ch. 12 - Prob. 75PQ Ch. 12 - Prob. 76PQ Ch. 12 - Prob. 77PQ Ch. 12 - Prob. 78PQ Ch. 12 - Prob. 79PQ Ch. 12 - Prob. 80PQ Ch. 12 - If the rod in Problem 79 is in equilibrium, what...Ch. 12 - As a compact disc (CD) spins clockwise as seen...Ch. 12 - A disk-shaped machine part has a diameter of 40.0...Ch. 12 - Prob. 84PQ

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