During the spin cycle the time dependent angular speed of a washing machine drum is given by the equation ω(t) = at + bt2 - ct4 where a = 1.1 rad/s2, b = 0.25 rad/s3 and c = 0.045 rad/s5. At time t = 0 s, a point P on the washer drum is located at θ0 = 1.9 rad. a. Write an equation for the angular acceleration of the drum, as a function of time, in terms of the given parameters. b. What is the angular acceleration, in radians per square second, at time t = 2.5 s? c. Write an equation for the angular position of the point P, as a function of time, in terms of the given parameters.
During the spin cycle the time dependent angular speed of a washing machine drum is given by the equation ω(t) = at + bt2 - ct4 where a = 1.1 rad/s2, b = 0.25 rad/s3 and c = 0.045 rad/s5. At time t = 0 s, a point P on the washer drum is located at θ0 = 1.9 rad. a. Write an equation for the angular acceleration of the drum, as a function of time, in terms of the given parameters. b. What is the angular acceleration, in radians per square second, at time t = 2.5 s? c. Write an equation for the angular position of the point P, as a function of time, in terms of the given parameters.
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
Problem 57PQ
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During the spin cycle the time dependent angular speed of a washing machine drum is given by the equation ω(t) = at + bt2 - ct4 where a = 1.1 rad/s2, b = 0.25 rad/s3 and c = 0.045 rad/s5. At time t = 0 s, a point P on the washer drum is located at θ0 = 1.9 rad.
a. Write an equation for the
b. What is the angular acceleration, in radians per square second, at time t = 2.5 s?
c. Write an equation for the angular position of the point P, as a function of time, in terms of the given parameters.
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