Constant Angular Acceleration in the Kitchen Dario, a prep cook at an Italian re

Question

Constant Angular Acceleration in the Kitchen 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. This question will be shown after you complete previous question(s).

Explanation / Answer

Q = 20*2pi = 40*pi   rad.

w = Q / t = 40*pi / 5 = 8*pi rad/s

Average speed = 8*pi / 2 = 4*pi rad/s

Q' = 6*2pi = 12*pi   rad

Time to stop = 12*pi / 4*pi = 3 sec

angular acceleratin = dw / dt = 8*pi / 3 = -8.38 rad/s^2

Answwr should be -8.38 rad/s^2.

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