A barrel ride at an amusement park is turning 2.30 rad/s when it starts to slow down. After making 2.00 revolutions, it is rotating at 1.11 rad/s. What was its angular acceleration?

Answer 1

Hi

Using

wf² = wi² -2αθ

wf = 1.11 rad/s,

wi = 2.3 rad/s

θ= 2rev = 4pi radian

(2.3)² = (1.11)² +-2α*4piα

8pi α = (2.3)² - (1.11)²

5.29 - 1.232 = 4.06

α = -0.16 rad/s2