A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway from the center toward the rim. What is the ratio o,J@, of the angular velocity at Ato that of the angular velocity at B, @p¡ and what is the ratio v/V,R, of the tangential velocity at A, Vra, to that of the tangential velocity at B, vIR?tBtA tB'O @A/@B= 2 and va/VtB = 2%3D= 2 and va/vtB = 1VealVEBO @A/@B= 1 and va/VtB = 1= 1 and vtA/VtB: 2%3DO wa/@B = ½ and vA/VEB = 1%3D

Draw the diagram of the disk with points A and B.

A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway from the center toward the rim. What is the ratio w/@B of the angular velocity at w, to that of the angular velocity at B, wai and what is the ratio v,/vR, of the tangential velocity at A, vA, to that of the tangential velocity at B, v,? O wNwB = 2 and vea/VEB = 2 O wlog = 2 and v/VtB = 1 O wa/wB = 1 and vaVIB = 1 O wala = 1 and va/VB - 2 O wa/wB = h and vA/VtB = 1

A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway from the center toward the rim. What is the ratio w/@B of the angular velocity at w, to that of the angular velocity at B, wai and what is the ratio v,/vR, of the tangential velocity at A, vA, to that of the tangential velocity at B, v,? O wNwB = 2 and vea/VEB = 2 O wlog = 2 and v/VtB = 1 O wa/wB = 1 and vaVIB = 1 O wala = 1 and va/VB - 2 O wa/wB = h and vA/VtB = 1

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 1CQ: A disk rotates about an axis through its center. Point A is located on its rim and point B is...

See similar textbooks

Similar questions

The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
A particle has mass 0.5 kg and is traveling along the line x=5.0m at 2.0 m/s In the positive y-direction. What is the particle’s angular momentum about the origin?
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?
A wheel is rotating about a fixed axis with constant angular acceleration 3 rad/s2. At different moments, its angular speed is 2 rad/s, 0. and +2 rad/s. For a point on the rim of the wheel, consider at these moments the magnitude of the tangential component of acceleration and the magnitude of the radial component of acceleration. Rank the following five items from largest to smallest: (a) |at| when = 2 rad/s, (b)|ar| when = 2 rad/s, (c)|ar| when = 0, (d) |at| when = 2 rad/s, and (e) |ar| when = 2 rad/s. If two items are equal, show them as equal in your ranking. If a quantity is equal to zero, show that fact in your ranking.
A top has moment of inertia 3.2104kgm2 and radius 4.0 cm from the center of mass to the pivot point. If it spins at 20.0 rev/s and is precessing, how many revolutions does it precess in 10.0 s?
A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.
If a rigid body has a constant angular acceleration, what is the functional form of the angular velocity In terms of the time variable?
If you know the velocity of a particle, can you say anything about the particle’s angular momentum?
The blades of a wind turbine are 30 m in length and rotate at a maximum rotation rate of 20 rev/min. (a) If the blades are 6000 kg each and the rotor assembly has three blades, calculate the angular momentum of the turbine at this rotation rate. (b) What Is the torque require to rotate the blades up to the maximum rotation rate in 5 minutes?
A proton is accelerated in a cyclotron to 5.0106m/s in 0.01 s. The proton follows a circular path. If the radius of the cyclotron is 0.5 km, (a) What is the angular momentum of the proton about the center at its maximum speed? (b) What is the torque on the proton about the center as it accelerates to maximum speed?
(a) What is the angular speed of the second hand of a clock? (b) What is the direction of as you view a clock hanging on a vertical wall? (c) What is the magnitude of the angular acceleration vector of the second hand?
A baseball catcher extends his arm straight up to catch a fast ball with a speed of 40 m/s. The baseball is 0.145 kg and the catcher’s arm length is 0.5 m and mass 4.0 kg. (a) What is the angular velocity of the arm immediately after catching the ball as measured from the arm socket? (b) What is the torque applied if the catcher stops the rotation of his arm 0.3 s after catching the ball?