Rotational Motion/angular acceleration

Question

A barrel ride at an amusement park

is turning 2.30 rad/s when it starts

to slow down. After making 5.00

revolutions, it is rotating at

1.11 rad/s. How much time did

that take?

(Unit = s)

can someone please answer this thourgly?

Answer 1

You know that ω_i= 2.0 rad/s, ω_f = 1.11 rad/s, Δθ = 5 revs = 10π rads → find t

Like the equations of motion for constant acceleration, you need 3/5 variables to solve for 2 unknowns.

The appropriate equation is Δθ = ((ω_f + ω_i)/2)t and solve for t.