12th Edition

ISBN: 9781119773511

Author: Halliday

Publisher: WILEY

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…

Videos

Textbook Question

100%

Chapter 10, Problem 6P

The angular position of a point on the rim of a rotating wheel is given by θ = 4.0t - 3.0t² + t³, where θ is in radians and t is in seconds. What are the angular velocities at (a) t = 2.0 s and (b) t = 4.0 s? (c) What is the average angular acceleration for the time interval that begins at t = 2.0 s and ends at t = 4.0 s? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this lime interval?

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 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10, Problem 5P

Chapter 10, Problem 7P

Students have asked these similar questions

A wheel rotates through an angle of 324° as it slows down from 87.4 rpm to 18.7 rpm (revolutions per minute). What is the magnitude of the average angular acceleration of the wheel in rad/s2?

A particle moves along a circular path of radius 300 mm. If its angular velocity is Ò = (2t2) rad/s, where t is in seconds, determine the magnitude of the particle's acceleration when t = 2 s.

A wheel with the diameter 2cm is rotating in such a way that the time dependence of it's rotation angle is ϕ=1 rad+At+Bt2,where A= 1 rad/s,B=0.5rad/s2.what is the acceleration of the points on the wheel rim 2 seconds after the rotation onset?

Chapter 10 Solutions

FUNDAMENTALS OF PHYSICS - EXTENDED

Ch. 10 - Prob. 1Q Ch. 10 - A force is applied to the rim of a disk that can...Ch. 10 - A good baseball pitcher can throw a baseball...Ch. 10 - What is the angular speed of a the second hand, b...Ch. 10 - When a slice of buttered toast is accidentally...Ch. 10 - The angular position of a point on a rotating...Ch. 10 - ILW A diver makes 2.5 revolutions on the way from...Ch. 10 - The angular position of a point on the rim of a...Ch. 10 - The angular acceleration of a wheel is = 6.0t4 ...Ch. 10 - A drum rotates around its central axis at an...

Ch. 10 - Starting from rest, a disk rotates about its...Ch. 10 - A disk, initially rotating at 120 rad/s, is slowed...Ch. 10 - The angular speed of an automobile engine is...Ch. 10 - ILW A flywheel turns through 40 rev as it slows...Ch. 10 - GO A disk rotates about its central axis starling...Ch. 10 - SSM Starting from rest, a wheel has constant =...Ch. 10 - A merry-go-round rotates from rest with an angular...Ch. 10 - At t = 0, a flywheel has an angular velocity of...Ch. 10 - A pulsar is a rapidly rotating neutron star that...Ch. 10 - What are the magnitudes of a the angular velocity,...Ch. 10 - An object rotates about a fixed axis, and the...Ch. 10 - Between 1911 and 1990, the top of the leaning bell...Ch. 10 - An astronaut is tested in a centrifuge with radius...Ch. 10 - SSM WWW A flywheel with a diameter of 1.20 m is...Ch. 10 - A vinyl record is played by rotating the record so...Ch. 10 - SSM a What is the angular speed about the polar...Ch. 10 - The flywheel of a steam engine runs with a...Ch. 10 - A seed is on a turntable rotating at 3313 rev/min,...Ch. 10 - Figure 10-32 shows an early method of measuring...Ch. 10 - A gyroscope flywheel of radius 2.83 cm is...Ch. 10 - GO A disk, with a radius of 0.25 m. is to be...Ch. 10 - A car starts from rest and moves around a circular...Ch. 10 - SSM Calculate the rotational inertia of a wheel...Ch. 10 - SSM Two uniform solid cylinders, each rotating...Ch. 10 - SSM Calculate the rotational inertia of a meter...Ch. 10 - Trucks can be run on energy stored in a rotating...Ch. 10 - Four identical particles of mass 0.50 kg each are...Ch. 10 - SSM A small ball of mass 0.75 kg is attached to...Ch. 10 - The length of a bicycle pedal arm is 0.152 m, and...Ch. 10 - SSM ILW During the launch from a board, a divers...Ch. 10 - If a 32.0 N m torque on a wheel causes angular...Ch. 10 - GO A pulley, with a rotational inertia of 1.0 103...Ch. 10 - Prob. 58P Ch. 10 - An automobile crankshaft transfers energy from the...Ch. 10 - A thin rod of length 0.75 m and mass 0.42 kg is...Ch. 10 - A 32.0 kg wheel, essentially a thin hoop with...Ch. 10 - SSM ILW A meter stick is held vertically with one...Ch. 10 - A uniform cylinder of radius 10 cm and mass 20 kg...Ch. 10 - GO A tall, cylindrical chimney fall;; over when...Ch. 10 - Prob. 68P Ch. 10 - A wheel, starling from rest, rotates with a...Ch. 10 - Prob. 72P Ch. 10 - A uniform helicopter rotor blade is 7.80 m long,...Ch. 10 - Prob. 75P Ch. 10 - Starting from rest at t = 0, a wheel undergoes a...Ch. 10 - SSM A record turntable rotating at 3313 rev/min...Ch. 10 - Prob. 79P Ch. 10 - A disk rotates al constant angular acceleration,...Ch. 10 - Prob. 82P Ch. 10 - Prob. 84P Ch. 10 - Prob. 85P Ch. 10 - Prob. 86P Ch. 10 - Prob. 87P Ch. 10 - Prob. 88P Ch. 10 - Prob. 89P Ch. 10 - Prob. 90P Ch. 10 - Prob. 91P Ch. 10 - Prob. 92P Ch. 10 - Prob. 93P Ch. 10 - Prob. 94P Ch. 10 - Prob. 95P Ch. 10 - Prob. 96P Ch. 10 - Prob. 97P

Additional Science Textbook Solutions

Find more solutions based on key concepts

A 5.0-m strand of DNA carries charge +e per nm of length. Treating it as a charged line, whats the electric Hel...

Essential University Physics: Volume 2 (3rd Edition)

24. 24 yd2 = ____________ft2

Applied Physics (11th Edition)

1. (I) A 75.0-kg firefighter climbs a flight of stairs 28.0 m high. How much work does he do?

Physics: Principles with Applications

1. What are the units of measurement for tangential speed? For rotational speed?

Conceptual Physics (12th Edition)

The amount of heat that flows per second from the boiling water to the ice-water mixture.

Sears And Zemansky's University Physics With Modern Physics

19. In FIGURE EX12.19, what magnitude force provides 5.0 N m net torque about the axle?

Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.