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Physics 207 WebPages - Fall 1999
Problem 1

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Problem 1 (Problem 7 in Textbook)

A wheel rotates with an angular acceleration a given by a = 4at3 - 3bt2, where t is the time and a and b are constants. The wheel has an initial angular speed w0.

 

(a) Write an equation for the angular speed of the wheel as a function of time.

Solution:

We integrate the given equation and set w0 as the constant of integration.



(Answer)

(b) Write an equation for the angular displacement of the wheel as a function of time.

Solution:

We integrate the equation obtained from part (a) and set q0 as the constant of integration.



(Answer)

 

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