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

9th Edition

ISBN: 9781305116399

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Textbook Question

Chapter 10, Problem 10.70AP

A shaft is turning at angular speed ω at time t = 0. Thereafter, its angular acceleration is given by

α = A = B t

(a) Find the angular speed of the shaft at time t. (b) Through what angle does it turn between t = 0 and t?

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 10, Problem 10.69AP

Chapter 10, Problem 10.71AP

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Chapter 10 Solutions

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

Ch. 10 - A rigid object rotates in a counterclockwise sense...Ch. 10 - Consider again the pairs of angular positions for...Ch. 10 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10 - (i) If you are trying to loosen a stubborn screw...Ch. 10 - You turn off your electric drill and find that the...Ch. 10 - A section of hollow pipe and a solid cylinder have...Ch. 10 - A ball rolls without slipping down incline A,...Ch. 10 - A cyclist rides a bicycle with a wheel radius of...Ch. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - A wheel is rotating about a fixed axis with...

Ch. 10 - A grindstone increases in angular speed from 4.00...Ch. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - As shown in Figure OQ10.7, a cord is wrapped onto...Ch. 10 - A constant net torque is exerted on an object....Ch. 10 - Prob. 10.9OQ Ch. 10 - A toy airplane hangs from the ceiling at the...Ch. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Is it possible to change the translational kinetic...Ch. 10 - Must an object be rotating to have a nonzero...Ch. 10 - Suppose just two external forces act on a...Ch. 10 - Explain how you might use the apparatus described...Ch. 10 - Example 10.6 Angular Acceleration of a Wheel A...Ch. 10 - Explain why changing the axis of rotation of an...Ch. 10 - Suppose you have two eggs, one hard-boiled and the...Ch. 10 - Suppose you set your textbook sliding across a...Ch. 10 - (a) What is the angular speed of the second hand...Ch. 10 - One blade of a pair of scissors rotates...Ch. 10 - If you see an object rotating, is there...Ch. 10 - If a small sphere of mass M were placed at the end...Ch. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Figure CQ10.15 shows a side view of a childs...Ch. 10 - A person balances a meterstick in a horizontal...Ch. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - A potters wheel moves uniformly from rest to an...Ch. 10 - During a certain time interval, the angular...Ch. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...Ch. 10 - A centrifuge in a medical laboratory rotates at an...Ch. 10 - An electric motor rotating a workshop grinding...Ch. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - A rotating wheel requires 3.00 s to rotate through...Ch. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - A spinning wheel is slowed down by a brake, giving...Ch. 10 - Review. Consider a tall building located on the...Ch. 10 - A racing car travels on a circular track of radius...Ch. 10 - Make an order-of-magnitude estimate of the number...Ch. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Figure P10.18 shows the drive train of a bicycle...Ch. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - A disk 8.00 cm in radius rotates at a constant...Ch. 10 - Prob. 10.22P Ch. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - A car traveling on a flat (unbanked), circular...Ch. 10 - In a manufacturing process, a large, cylindrical...Ch. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - The fishing pole in Figure P10.28 makes an angle...Ch. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - A 150-kg merry-go-round in the shape of a uniform,...Ch. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - A model airplane with mass 0.750 kg is tethered to...Ch. 10 - A disk having moment of inertia 100 kg m2 is free...Ch. 10 - The combination of an applied force and a friction...Ch. 10 - Review. Consider the system shown in Figure P10.36...Ch. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - A uniform, thin, solid door has height 2.20 m,...Ch. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Figure P10.41 shows a side view of a car tire...Ch. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Three identical thin rods, each of length L and...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - The four particles in Figure P10.45 are connected...Ch. 10 - Many machines employ cams for various purposes,...Ch. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - A horizontal 800-N merry-go-round is a solid disk...Ch. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - The top in Figure P10.51 has a moment of inertia...Ch. 10 - Why is the following situation impossible? In a...Ch. 10 - In Figure P10.53, the hanging object has a mass of...Ch. 10 - Review. A thin, cylindrical rod = 24.0 cm long...Ch. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - The head of a grass string trimmer has 100 g of...Ch. 10 - A cylinder of mass 10.0 kg rolls without slipping...Ch. 10 - A solid sphere is released from height h from the...Ch. 10 - (a) Determine the acceleration of the center of...Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - A uniform solid disk and a uniform hoop are placed...Ch. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - A metal can containing condensed mushroom soup has...Ch. 10 - As shown in Figure 10.13 on page 306, toppling...Ch. 10 - Review. A 4.00-m length of light nylon cord is...Ch. 10 - An elevator system in a tall building consists of...Ch. 10 - A shaft is turning at 65.0 rad/s at time t = 0....Ch. 10 - A shaft is turning at angular speed at time t =...Ch. 10 - Review. A mixing beater consists of three thin...Ch. 10 - The hour hand and the minute hand of Big Ben, the...Ch. 10 - A long, uniform rod of length L and mass M is...Ch. 10 - A bicycle is turned upside down while its owner...Ch. 10 - A bicycle is turned upside down while its owner...Ch. 10 - Prob. 10.76AP Ch. 10 - Review. As shown in Figure P10.77, two blocks are...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - The reel shown in Figure P10.79 has radius R and...Ch. 10 - A common demonstration, illustrated in Figure...Ch. 10 - A uniform solid sphere of radius r is placed on...Ch. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - A thin rod of mass 0.630 kg and length 1.24 m is...Ch. 10 - Prob. 10.85AP Ch. 10 - Review. A clown balances a small spherical grape...Ch. 10 - A plank with a mass M = 6.00 kg rests on top of...Ch. 10 - As a gasoline engine operates, a flywheel turning...Ch. 10 - As a result of friction, the angular speed of a...Ch. 10 - To find the total angular displacement during the...Ch. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - A cord is wrapped around a pulley that is shaped...Ch. 10 - A merry-go-round is stationary. A clog is running...Ch. 10 - A uniform, hollow, cylindrical spool has inside...

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A shaft is turning at angular speed ω at time t = 0. Thereafter, its angular acceleration is given by α = A = B t (a) Find the angular speed of the shaft at time t . (b) Through what angle does it turn between t = 0 and t ?

Solution Summary: The author explains the angular speed of the shaft at time t, and its acceleration.

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