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Exercise 9.4 Part A Afan blade rotates with angular velocity given by w,(t) = -

ID: 1786970 • Letter: E

Question

Exercise 9.4 Part A Afan blade rotates with angular velocity given by w,(t) = - t2. | Calculate the angular acceleration as a function of time. Express your answer in terms of the variables , , and t. Az (t) = Submlt My Answers Give Up Part B #7 . 460 rad/s and . 0 810 rad/s. calculate the instantaneous angular acceleration a, at . 290 s a, rad/s? Submit My Answers Give UR Part C lf : 4.60 rad/s and :0.810 rad/s. calculate the average angular acceleration aa-, for te time interval t t-2.90 s . rad/s Submit My Answers Give Up Provide Feedback

Explanation / Answer

w = gamma - beta t2
A) Angular acceleration = dw /dt = - 2 beta t

B) for gamma = 4.6, beta = 0.81 and t = 2.9
angular acceleration =- 2*0.81*2.9 = - 4.7 rad/sec2

C) Average angular accelration over time interval t1 to t2, = ( w(t2) - w(t1) ) / (t2 - t1)
hence over time interval 0 to 2.9 sec,
average angular acceleration = (w(2.9) - w(0) )/ 2.9

                                               ( (4.6 - 0.81*2.92) - ( 4.6) ) / 2.9
                                            = - 2.35 rad/sec2

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