10th Edition

ISBN: 9780321902788

Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain

Publisher: PEARSON

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth w…

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Textbook Question

Chapter 9, Problem 12P

DVDs. The angular speed of digital video discs (DVDs) varies with whether the inner or outer part of the disc is being read. (CDs function in the same way.) Over a 133 min playing time, the angular speed varies from 570 rpm to 1600 rpm. Assuming it to be constant, what is the angular acceleration (in rad/s²) of such a DVD?

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 9, Problem 11P

Chapter 9, Problem 13P

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3.63 • Leaping the River II. A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle (Fig. P3.63). The takeoff ramp was inclined at 53.0°, the river was 40.0 m wide, and the far bank was 15.0 m lower than the top of the ramp. The river itself was 100 m below the ramp. Ignore air resistance. (a) What should his speed have been at the top of the ramp to have just made it to the edge of the far bank? (b) If his speed was only half the value found in part (a), where did he land? Figure P3.63 53.0° 100 m 40.0 m→ 15.0 m

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Chapter 9 Solutions

College Physics (10th Edition)

Ch. 9 - What is the difference between the tangential...Ch. 9 - A flywheel rotates with constant angular velocity....Ch. 9 - A flywheel rotates with constant angular...Ch. 9 - A uniform ring of mass M and radius R and a point...Ch. 9 - According to experienced riders, you make a bike...Ch. 9 - A solid ball, a solid cylinder, and a hollow...Ch. 9 - Experienced cooks can tell whether an egg is raw...Ch. 9 - Part of the kinetic energy of a moving automobile...Ch. 9 - Can you think of a body that has the same moment...Ch. 9 - A client has come to you with two metal balls of...

Ch. 9 - If a ball roils down an irregularly shaped hill...Ch. 9 - A uniform marble rolls down a symmetric bowl,...Ch. 9 - When a wheel turns through one complete rotation,...Ch. 9 - Two points are on a disk that rotates about an...Ch. 9 - A bicycle wheel rotating at a rate of 12 rad/s...Ch. 9 - Two uniform solid spheres of the same size, but...Ch. 9 - A disk starts from rest and has a constant angular...Ch. 9 - Two unequal masses m and 2m are attached to a thin...Ch. 9 - A thin uniform bar has a moment of inertia I about...Ch. 9 - Two small objects of equal weight are attached to...Ch. 9 - A disk starts from rest and rotates with constant...Ch. 9 - Two identical merry-go-rounds are rotating at the...Ch. 9 - A solid sphere and a hollow sphere, both uniform...Ch. 9 - A uniform ball rolls without slipping toward a...Ch. 9 - A flexible straight wire 75.0 cm long is bent into...Ch. 9 - (a) What angle in radians is subtended by an arc...Ch. 9 - (a) Calculate the angular velocity (in rad/s) of...Ch. 9 - The once-popular LP (long-play) records were 12...Ch. 9 - If a wheel 212 cm in diameter takes 2.25 s for...Ch. 9 - A curve ball is a type of pitch in which the...Ch. 9 - A laser beam aimed from the earth is swept across...Ch. 9 - Communications satellites. Communications...Ch. 9 - An airplane propeller is rotating at 1900 rpm. (a)...Ch. 9 - At t = 0 a cooling fan running at 200 rad/s is...Ch. 9 - A turntable that spins at a constant 78.0 rpm...Ch. 9 - DVDs. The angular speed of digital video discs...Ch. 9 - A circular saw blade 0.200 m in diameter starts...Ch. 9 - A wheel turns with a constant angular acceleration...Ch. 9 - An electric fan is turned off, and its angular...Ch. 9 - A flywheel in a motor is spinning at 500.0 rpm...Ch. 9 - A flywheel having constant angular acceleration...Ch. 9 - A potters wheel is spinning with an initial...Ch. 9 - A car is traveling at a constant speed on the...Ch. 9 - (a) A cylinder 0.150 m in diameter rotates in a...Ch. 9 - A wheel rotates with a constant angular velocity...Ch. 9 - Ultracentrifuge. Find the required angular speed...Ch. 9 - Exercise! 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Your cars speedometer works in much...Ch. 9 - A passenger bus in Zurich, Switzerland, derived...Ch. 9 - Kinetic energy of bicycle wheels. A 55 kg woman is...Ch. 9 - Compact discs. When a compact disc (CD) is...Ch. 9 - A vacuum cleaner belt is looped over a shaft of...Ch. 9 - A basketball (which can be closely modeled as a...Ch. 9 - Human rotational energy. A dancer is spinning at...Ch. 9 - A solid uniform spherical boulder rolls down a...Ch. 9 - A thin uniform rod 50.0 cm long with mass 0.320 kg...Ch. 9 - In redesigning a piece of equipment, you need to...Ch. 9 - A solid uniform spherical stone starts moving from...Ch. 9 - A solid, uniform hall rolls without slipping up a...Ch. 9 - The kinetic energy of walking. If a person of mass...Ch. 9 - The kinetic energy of running. Using the previous...Ch. 9 - The Spinning Eel. 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