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College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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A disk is initially motionless. It then begins to spin with a unknown constant
angular acceleration for 8.00 seconds, after which its period is 0.855 seconds. How many rotations did it make in those 8.00 seconds?
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- A 40.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.50 s, find the angular speed of the wheel. rad/s (b) At t = 2.50 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity = m/s tangential acceleration = m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axisarrow_forwardA platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0 rad/s². At a point on the platform that is 1.26 m from the axis of rotation, what is the magnitude of the total acceleration a?arrow_forwardHuman 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. HINT (a) If a human centrifuge has a radius of 5.17 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? X rad/s (b) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/sarrow_forward
- A rotating wheel requires 7.00 s to rotate 29.0 revolutions. Its angular velocity at the end of the 7.00-s interval is 99.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel?arrow_forwardA ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.40? rad/s2 about a fixed axis perpendicular to its plane and through its center. Assume the fan starts from rest.arrow_forwardHuman 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 4.29 m, what angular speed (in rad/s) results in a centripetal acceleration of 9g? rad/s ? (B) What linear speed (in m/s) would a person in the centrifuge have at this acceleration? m/sarrow_forward
- A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time. (a) At t = 2.50 s, find the angular speed of the wheel. rad/s(b) At t = 2.50 s, find the magnitude of the linear velocity and tangential acceleration of P. linear velocity m/s tangential acceleration m/s2 (c) At t = 2.50 s, find the position of P (in degrees, with respect to the positive x-axis). ° counterclockwise from the +x-axisarrow_forwardA wheel rotates with a constant angular acceleration of 2.00 rad/s2. If the angular speed of the wheel is 2.90 rad/s at t = 0, how many revolutions has the wheel gone through after 2.00 s?arrow_forwardA merry-go-round rotates from rest with an angular acceleration of 1.36 rad/s2. How long does it take to rotate through (a) the first 1.74 rev and (b) the next 1.74 rev?arrow_forward
- An airplane engine starts from rest; and 2 seconds later, it is rotating with an angular speed of 420 rev/min. If the angular acceleration is constant, how many revolutions does the propeller undergo during this time?arrow_forwardA rotating wheel requires 7.00 s to rotate 26.0 revolutions. Its angular velocity at the end of the 7.00-s interval is 96.0 rad/s. What is the constant angular acceleration (in rad/s) of the wheel?arrow_forwardAt t = 0s a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant angular acceleration of 30.0 rad/s2 until a circuit breaker trips at t = 2.3 s. From then on it coasts to a stop over the next 10.0 seconds at constant angular acceleration. Through what total angle did the grinding wheel rotate? (Give your answer in radians.)arrow_forward
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