A disk with an initial angular velocity ω0 = 3.5 rad/s experiences a constant angular acceleration of α = 3.5 rad/s2 for a time period t = 55 s. Please answer the following questions. a. Write an expression for the magnitude of the angular velocity of the disk at time t in terms of the given parameters.  b. Calculate the magnitude of the angular velocity of the disk in rad/s at time t.  c. Write an expression for the magnitude of the angular displacement θ traveled by a point on the disk during the angular acceleration described in terms of the given parameters. Assume the point starts at an angular displacement of 0 radians.  d.  Calculate the magnitude of the angular displacement in radians traveled by a point on the disk during the acceleration described.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
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 A disk with an initial angular velocity ω0 = 3.5 rad/s experiences a constant angular acceleration of α = 3.5 rad/s2 for a time period t = 55 s. Please answer the following questions.

a. Write an expression for the magnitude of the angular velocity of the disk at time t in terms of the given parameters. 

b. Calculate the magnitude of the angular velocity of the disk in rad/s at time t

c. Write an expression for the magnitude of the angular displacement θ traveled by a point on the disk during the angular acceleration described in terms of the given parameters. Assume the point starts at an angular displacement of 0 radians. 

d.  Calculate the magnitude of the angular displacement in radians traveled by a point on the disk during the acceleration described. 

 

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