11/14/2017 TEST 3 AU \'17 PHYSICS 4A Name Section 4. (14 points) A wheel is rota

Question

11/14/2017 TEST 3 AU '17 PHYSICS 4A Name Section 4. (14 points) A wheel is rotating about an axis that is in the z-direction. The angular velocity is o-+6.00 rad/s at t 0 and changes linearly with time at constant angular acceleration throughout the problem. At t = 10.00 seconds, the angular velocity is (010 =-12.00 rad/s. we have taken counter-clockwise rotation to have positive angular velocity (a) (2 points) Is the angular acceleration positive or negative? (b) (4 points) Through what angle (in rads) does the wheel rotate in the time interval between 0 and 10.00 seconds? (c) ( 4 points) At what time t does the wheel momentarily come to rest? (d) (4 wheel increasing? Decreasing? Show work carefully points) During what time interval is the angular speed of the

Explanation / Answer

(a) Angular accleration=(-12-6)/10=-1.8 rad/s*s

- means direction is opposite to direction of initial angular speed

(b)Angle=6*10-0.5*1.8*100=30 radian

(c)time =6/1.8=3.33 sec

(d)angular speed is decreasing from t=0 to t=3.33 and then it will increase from t=3.3 to 10 sec

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