how do you find the part B?? --Flywheel Kinematics-- A heavy flywheel is acceler

Question

how do you find the part B??

--Flywheel Kinematics--
A heavy flywheel is accelerated (rotationally) by a motor that provides constant torque and therefore a constant angular acceleration ?. The flywheel is assumed to be stationary at time t=0 in Parts A, B, and C of this problem.

Find the time t10 it takes to accelerate the flywheel to 10.0 rps (revolutions per second) if alpha is 5.00 radians/s . Give a numerical answer, in seconds, to one decimal place. t10 = 12.6 s Find the time t to accelerate the flywheel from rest up to angular velocity w1. Express your answer in terms of alpha and w1.

Explanation / Answer

w = omega, a = alpha t = time

Part A.
Use the equation
w_1 = w_0 + a(t_1-t_0)
where w_0= 0
and t_0= 0
so w_1 = at_1
and solve for t_1

Part B
Use the equation
w_1^2 = w_0^2 + 2a(theta_1 - theta_0)
where w_0 = 0
and theta_0 = 0
so it should come to w_1^2 = 2a(theta_1)
and solve for theta_1

Part B
w_0 = w_1 - 5at
where w_0 = 0
so -w_1= -5at
and from there solve for t

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