College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- The angular acceleration of a rotating rigid body is given by α = (2.0 − 3.0t) rad/s2 . If the body starts rotating from rest at t = 0 , (a) what is the angular velocity? (b) Angular position? (c) What angle does it rotate through in 10 s? (d) Where does the vector perpendicular to the axis of rotation indicating 0° at t = 0 lie at t = 10 s ?arrow_forwardA person is riding a bicycle, and its wheels have an angular velocity of 16.1 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?arrow_forwardA Texas cockroach walks from the center of a circular disk (that rotates like a merry-go-round without external torques) out to the edge at radius R. The angular speed of the cockroach–disk system for the walk is (va = 5.0 rad/s and vb = 6.0 rad/s). After reaching R, what fraction of the rotational inertia of the disk does the cockroach have?arrow_forward
- A spinning globe is slowed at a constant acceleration of 0.750 rad/s2 until it stops. One of the points on the equator moves 23.0° in the first 0.700 s of the slowing phase. (a) Find the total angular displacement of the globe during the acceleration phase. (b) Find the initial angular speed of the globe.arrow_forwardA bicycle tire is spinning clockwise at 2.50 rad/s. During a time period Δt = 1.25 s, thetire is slopped and spun in the opposite (counterclockwise) direction, also at 2.50 rad/s.(Calculate (a) the change in the tire’s angular velocity Δω and (b) the tire's averageangular acceleration αav.arrow_forwardA cord is wrapped around the rim of a wheel 0.300 m in radius, and a steady pull of 38.5 NN is exerted on the cord. The wheel is mounted on frictionless bearings on a horizontal shaft through its center. The moment of inertia of the wheel about this shaft is 5.35 kg⋅m2 Compute the angular acceleration of the wheel.arrow_forward
- Chapter 10, Problem 057 GO A pulley, with a rotational inertia of 7.7 x 104 kg-m2 about its axle and a radius of 12 cm, is acted on by a force applied tangentiallý at its rim. The force magnitude varies in time as F = 0.80t + 0.30t, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.8 s what are (a) its angular acceleration and (b) its angular speed? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Workarrow_forwardA wheel of radius 0.35 m rotates in a clockwise sense about a fixed axle with negligible friction at an initial angular speed of 2.6 rad/s. The wheel's mass of 17 kg is concentrated in its rim. You apply a clockwise torque to the rotating wheel by pushing on the rim tangentially with a constant force of 22 N. Find the wheels angular speed, in radians per second, 0.085 seconds after you start pushing on the rim.arrow_forwardA disk with a radius of r = 42 cm rotating about its central axis with a frequency of 20 Hz. Suddenly at a time to which we choose to be to = 0 s, a force is applied to the wheel such that it gives the wheel an angular acceleration of a = -2 rad/s, thereby slowing it down. (a) What is the translational speed of the disk after 30 seconds? (b) What is the time required for the disk to come to rest?arrow_forward
- Someone frequently throws a tennis ball for their dog to chase.Throughout the throwing motion, the angular velocity of their arm is 6.7radians/s, and the radius of rotation of the ball is 63.0 cm.One day they decide to test out a ball-throwing tool which effectivelyextends the radius of rotation by an extra 36 cm. Assuming all othervariables are equal, how much faster (in m/s) can they throw the ballwhen they use the launcher compared to when they don't?Express your answer to 2 decimals, and don't include units+. Please type answer not write by hendarrow_forwardA person is riding a bicycle, and its wheels have an angular velocity of 15.8 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 19.1 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel? (a) Number (b) Number Units Unitsarrow_forwardA flywheel ( I = 50 kg-m2 ) starting from rest acquires an angular velocity of 200.0 rad/s while subject to a constant torque from a motor for 5 s. (a) What is the angular acceleration of the flywheel? (b) What is the magnitude of the torque?arrow_forward
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