please help to answer Just1,2,and 3 question Chp. 10: Rotational Kinematics A bu
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please help to answer Just1,2,and 3 question
Chp. 10: Rotational Kinematics A bug is riding on a music CD at a point 5 cm from the center. The CD starts rotating at t = 0, and accelerates uniformly, reaching its final rotational speed of 500 rpm in 5 seconds. (1) At t = 1 s, what is the bug?s angular acceleration alpha, in (rad)/s^2? (2) At t = 1 s, what is the bug?s tangential acceleration aT, in m/s^2? (3) At t = 1 s, what is the bug?s rotational speed to, in (rad)/s? (4) At t = 1 s, what is the bug?s linear (tangential) speed y, in m/s? (5) At t = 1 s, what is the bug?s centripetal acceleration a, in m/s? (6) At t = 3s, what is the bug?s linear (tangential) speed v, in m/s? (7) At t = 3, what is the bug?s tangential acceleration aT, in m/s^2? (8) At t = 3s, what is the bug?s centripetal acceleration ac in m/s^2?Explanation / Answer
wf = 500 rpm = 500*2*3.14/60 = 52.33 rad/s
1) alfa = (wf-wo)/2 = (52.33-0)/5 = 10.47 rad/s^2
2) a_tan = r*alfa = 0.05*10.47 = 0.5235 m/s^2
3) w = wo + alfa*t = 10.47*1 = 10.47 rad/s
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