In: Physics
Dario, a prep cook at an Italian restaurant, spins a salad
spinner and observes that it rotates 20.0 times in 5.00 seconds and
then stops spinning it. The salad spinner rotates 6.00 more times
before it comes to rest. Assume that the spinner slows down with
constant angular acceleration.
What is the magnitude of the angular acceleration of the salad spinner as it slows down?
Express your answer numerically in radians per second per second.
(A) Angular acceleration,
?
= (?22 -?12)/2.?
Angular speed, initial,
?1 = 20x2? rad/5.0 s = 8? rad/s
Final angular speed, ?2 = 0
Angular displacement, ? = 6.x2? = 12?rad
? = (?22 -?12)/2.? =-64.?2/24?
= -8?/3 rad/s2
= - 8x180/3 degrees/s2
= -480degrees/s2
(B) Time taken to stop(duringdeceleration)
t
= (?2 -?1)/?
=
(0 - 8? rad/s)/-8?/3 rad/s2
= 3.0s