A flywheel is initially rotating at 20 rad/s and has a constant angular acceleration.After 9.0 s it has rotated through 450 rad.Its angular acceleration is:
A)3.3 rad/s
B)4.4 rad/s
C)6.7 rad/s
D)11 rad/s
E)48 rad/s

Question

Quizplus · Accepted Answer

We can use the equation:
θ = θ0 + ω0t + 0.5αt^2
where θ0 is the initial angle (0), ω0 is the initial angular velocity (20 rad/s), α is the angular acceleration (unknown), t is the time (9.0 s), and θ is the final angle (450 rad).

Substituting the given values, we get:
450 = 0 + (20)(9.0) + 0.5α(9.0)^2
Solving for α, we get:
α = 6.67 rad/s^2

Therefore, the answer is C) 6.7 rad/s.

A Flywheel Is Initially Rotating at 20 Rad/s and Has