A disk starts at rest and accelerates with a constant angular acceleration α. After the disk completes one complete revolution, what is its angular velocity?

Question

ang.acc. = (ang.v. squared) / angle

w = sqrt(angle x ang.acc.) = sqrt (2pi x ang.acc)

However, the test shows that this answer is wrong..

Answer 1

V^2 = Vo^2 + 2a*d = 0 + 2a*2pi = 4a*pi
V = 2*sqrt(pi*a) = 2*1.772*sqrt a =
3.54*sqrt a