The problem involves calculating the rotational acceleration of an amusement park carousel that takes a specific time to complete a revolution and then slows down over a certain number of revolutions. The context is within the subject area of rotational motion and dynamics.
The discussion is ongoing, with participants providing different angular acceleration values and questioning the initial assumptions regarding angular velocity. There is an acknowledgment of a potential oversight in calculations, but no consensus has been reached on the correct approach or final answer.
Participants are working under the constraints of the problem statement, including the maximum speed of the carousel and the specifics of the slowing down process. There is also a mention of a separate problem regarding the acceleration of an ice cube in a hemispherical bowl, indicating a broader context of physics discussions.
shouldn't the angular velocity be pi/6?Daeho Ro said:When it moves with maximum speed, the angular velocity is ## \omega_i = \pi / 12. ## You want to stop it within ## 3.5 ## revolution, that is ## \theta_f - \theta_i = 7\pi ## and it have to be ## \omega_f = 0. ## Then, you can get the angular acceleration, ## \alpha. ##
Can you also help me check this one? You hold a small ice cube near the top edge of a hemispherical bowl of radius 100 mm. You release the cube from rest. What is the magnitude of its acceleration at the instant it reaches the bottom of the bowl? Ignore friction. is a=2g=19.6 m/s2Daeho Ro said:Oh, yes I missed the factor ## 2##.
Which one?kolua said:or -pi2/504 s-2