Gradebook ORION Downloadable eTextbook Question 1 A record turntable is rotating

Question

Gradebook ORION Downloadable eTextbook Question 1 A record turntable is rotating at 33 rev/min. A watermelon seed is on the turntable 7.6 cm from the axis of rotation. (a) Caiculate the acceleration of the seed, assuming that it does not slip. (b) What is the minimum value of the coefficient of static friction between the seed and the turntable if the seed is not to slip? (c) Suppose that the turntable achieves its angular speed by starting from rest and undergoing a constant angular acceleration for 0.26 s. Calculate the minimum coefficient of static not to slip during the acceleration period friction required for the seed (a) Number (b) Number (e) Number Units units Units Question Attempts: 0 of 12 used SAVE FOR LATER SUBMIT ANSWER tive Version 4.24.5.1

Explanation / Answer

(a) w = (100 / 3 rev/min)(2 pi rad / 60 s)

w = 3.49 rad/s

radial acceleration, a_c = w^2 r = (3.49^2)(0.076)

a_c = 0.926 m/s^2

(B) a = u g

u = 0.926 / 9.8 = 0.094

(C) wf = wi + alpha t

3.49 = 0 + 0.26 alpha

alpha = 13.42 rad/s^2

tangential acc, a_t = alpha r = 1.02 s

total acceleration, a = sqrt(a_c^2 + a_t^2)

= srqt(0.926^2 + 1.02^2)

= 1.38 m/s^2

u = a/g = 1.38 / 9.8

u = 0.14

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