Posted by help on Wednesday, January 27, 2010 at 6:09pm.
A merrygoround accelerates from est at .870 rad/sec^2. When the merrygoround has made 4 complete revolutions, how much time has elapsed since the merrygo round started?
What is the angular velocity of the merrygo round?
Could someone help, please

Physics  Damon, Wednesday, January 27, 2010 at 6:13pm
a = angular acceleration
w = a t = angular velocity
theta = (1/2) a t^2 = radians turned total from rest
in this case thetas = 2pi * 4 = 8 pi radians
so
(1/2) a t^2 = 8 pi
you know a, get t and then w

Physics  jessica, Wednesday, January 27, 2010 at 6:25pm
to double check , the correct answer for time is 7.60 sec? and w is 6.61 rad/s?

Physics  Damon, Wednesday, January 27, 2010 at 6:37pm
(.87/2)t^2 = 8 pi
t = 7.599 yes 7.6
w = .87*7.6 = 6.61 yes
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