Question

In: Physics

Dario, a prep cook at an Italian restaurant, spins a salad spinner and observes that it...

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.

Solutions

Expert Solution

(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


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