9.5 •• CALC A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 0(t) = yt + ßr², (a) Calculate the angular velocity of the merry-go-round as a function of time. (b) What is the initial value of the angular velocity? (c) Calculate the instantaneous value of the angular velocity w̟ at t = 5.00 s and the average angular velocity way-z for the time interval t = 0 to t = 5.00 s. Show that way-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain. where y = 0.400 rad/s and ß =0.0120 rad/s. %3D %3D
9.5 •• CALC A child is pushing a merry-go-round. The angle through which the merry-go-round has turned varies with time according to 0(t) = yt + ßr², (a) Calculate the angular velocity of the merry-go-round as a function of time. (b) What is the initial value of the angular velocity? (c) Calculate the instantaneous value of the angular velocity w̟ at t = 5.00 s and the average angular velocity way-z for the time interval t = 0 to t = 5.00 s. Show that way-z is not equal to the average of the instantaneous angular velocities at t = 0 and t = 5.00 s, and explain. where y = 0.400 rad/s and ß =0.0120 rad/s. %3D %3D
College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:9.5 •• CALC A child is pushing a merry-go-round. The angle through
which the merry-go-round has turned varies with time according to
0(t) = yt + ßr²,
(a) Calculate the angular velocity of the merry-go-round as a function of
time. (b) What is the initial value of the angular velocity? (c) Calculate
the instantaneous value of the angular velocity w̟ at t = 5.00 s and the
average angular velocity way-z for the time interval t = 0 to t = 5.00 s.
Show that way-z is not equal to the average of the instantaneous angular
velocities at t = 0 and t = 5.00 s, and explain.
where y = 0.400 rad/s and ß =0.0120 rad/s.
%3D
%3D
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