A wheel has an angular acceleration given by the equation below: 5t^2 + 3 If the...
A wheel has an angular acceleration given by the equation below: 5t^2 + 3 If the wheel starts at rest, what is the angular displacement between t=3 and 8 seconds?
Homework Answers
Angular velocity w = integral alpha dt = integral 5t^2+3 dt
w = 5t^3/3 + 3t
angular displacement theta = integral w dt
= integral 5t^3/3 + 3t dt
= 5t^4/12+ 3t^2/2
angular displacement between given time = [5*8^4/12+ 3*8^2/2 ] - [5*3^4/12+ 3*3^2/2 ]
= 1755 rad answer
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