Flywheel Rotation: Calculate Total Angle After 48.7s

[Punchlinegirl]

The flywheel of a steam engine begins to rotate from rest with a constant angular acceleration of 1.33 rad/s2. It accelerates for 23.5 s, then maintains a constant angular velocity. Calculate the total angle through which the wheel has turned 48.7 s after it begins rotating.
$$\omega = \omega _ o + \alpha t$$
$$\omega = 0 + 1.33(23.5)$$
$$\omega= 31.26$$
$$31.26 = \Delta \theta / \Delta t$$
Solving for $$\theta$$ gave me 1522.1 rad
which wasn't right.. can someone please help me?

 

[whozum]

Find the angle unwound during its acceleration.
Find the angle unwound during the rest of the time while its at a constant rotation speed.

Add.

 

[Punchlinegirl]

I'm stupid
Thanks