Q 1. An object rotates with angular acceleration, adwdefined as a =dtGiven that when twhere w is the angular velocity0, w = wo show that w =doAlso the angular velocity w is defined as w =dtWo + atwhere-O is the angular displacement. Given that when1t = 0,0 = 0, then show that 0 = wot + at². [

An object rotates with angular acceleration, a defined as a where w is the angular velocity Given…

Q 1. An object rotates with angular acceleration, a dw a = dt defined as where w is the angular velocity Given that when t = 0, w = wo show that w = do Also the angular velocity w is defined as w = dt O is the angular displacement. Given that when where 1 t = 0,0 = 0, then show that 0 = wot + at?. [ %3D 2.

Q 1. An object rotates with angular acceleration, a dw a = dt defined as where w is the angular velocity Given that when t = 0, w = wo show that w = do Also the angular velocity w is defined as w = dt O is the angular displacement. Given that when where 1 t = 0,0 = 0, then show that 0 = wot + at?. [ %3D 2.

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

Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.
(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?
Human centrifuges are used to train military pilots and astronauts in preparation for high-g maneuvers. A trained, fit person wearing a g-suit can withstand accelerations up to about 9g (88.2 m/s2) without losing consciousness, (a) If a human centrifuge has a radius of 4.50 m, what angular speed results in a centripetal acceleration of 9g? (b) What linear speed would a person in the centrifuge have at this acceleration?
A centrifuge in a medical laboratory rotates at an angular velocity of 3600 rev/min. When switched off, it rotates through 50.0 revolutions before coming to rest. Find the constant angular acceleration (in rad/s2) of the centrifuge.
The tires on a new compact car have a diameter of 2.0 ft and are warranted for 60 000 miles, (a) Determine the angle (in radians) through (which one of these tires will rotate during the warranty period, (b) How many revolutions of the tire are equivalent to your answer in part (a)?
A pendulum consists of a small object called a bob hanging from a light cord of fixed length, with the top end of the cord fixed, as represented in Figure CQ7.5. The bob moves without friction, swinging equally high on both sides. It moves from its turning point A through point B and reaches its maximum speed at point C. (a) At what point does the bob have non-zero radial acceleration and zero tangential acceleration? What is the direction of its total acceleration at this point? (b) At what point does the bob have nonzero tangential acceleration and zero radial acceleration? What is the direction of its total acceleration at this point? (c) At what point does the bob have both nonzero tangential and radial acceleration? What is the direction of its total acceleration at this point? Figure CQ7.5
There an analogy between rotational and physical quantities. What rotational quantities are analogous to distance and velocity?
A rotating wheel requires 3.00 s to rotate through 37.0 revolutions. Its angular speed at the end of the 3.00-s interval is 98.0 rad/s. What is the constant angular acceleration of the wheel?
Suppose a piece of food is on the edge of a rotating microwave oven plate. Does it experience nonzero tangential acceleration, centripetal acceleration, or both when: (a) the plate starts to spin faster? (b) The plate rotates at constant angular velocity? (c) The plate slows to a halt?
An athlete swings a 5.00-kg ball horizontally on the end of a rope. The ball moves in a circle of radius 0.800 m at an angular speed of 0.500 rev/s. What are (a) the tangential speed of the ball and (b) its centripetal acceleration? (c) If the maximum tension the rope can withstand before breaking is 100. N, what is the maximum tangential speed the ball can have?
A disk rotates about an axis through its center. Point A is located on its rim and point B is located exactly halfway between the center and the rim. What is the ratio of (a) the angular velocity A to that of B and (b) the tangential velocity vA to that of vB?
One blade of a pair of scissors rotates counterclockwise in the xy plane. (a) What is the direction of for the blade? (b) What is the direction of if the magnitude of the angular velocity is decreasing in time?