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When a turntable rotating at 33 1/3 rev/min is shut off, it comes to rest in 26 s. Assume constant angular acceleration.
(a) Find the angular acceleration.
rad/s2
(b) Find the average angular velocity of the turntable.
rad/s
(c) Find the number of revolutions it makes before stopping.
rev
For Part A I did:
omega = omega initial + alpha * t
omega = alpha * t
omega/t = alpha
(33.3 rev/min) / (26s) * (2Pi rad) / (1 rev) * (1 min) /(60s)
= .1341218402 rad/s^2 = approx .13 rad/s^2
but this is wrong.
For Part C:
displacement = omega initial + 1/2 alpha * t^2
= 1/2(.1341218402 rad/s^2)(26s)^2
=45.33318199 approx = 45 revolutions.
For Part B is it taking the average of initial omega velocity and final omega velocity?
(a) Find the angular acceleration.
rad/s2
(b) Find the average angular velocity of the turntable.
rad/s
(c) Find the number of revolutions it makes before stopping.
rev
For Part A I did:
omega = omega initial + alpha * t
omega = alpha * t
omega/t = alpha
(33.3 rev/min) / (26s) * (2Pi rad) / (1 rev) * (1 min) /(60s)
= .1341218402 rad/s^2 = approx .13 rad/s^2
but this is wrong.
For Part C:
displacement = omega initial + 1/2 alpha * t^2
= 1/2(.1341218402 rad/s^2)(26s)^2
=45.33318199 approx = 45 revolutions.
For Part B is it taking the average of initial omega velocity and final omega velocity?