Isaac Physics Banked Tracks for Turning 17.6
The question is as follows:
A spherically shaped bowl of inner radius 16cm is 8cm deep at its centre, and contains a small marble. The bowl is rotated about a vertical axis.
At what angular velocity ω will the marble leave the bowl?
I have attatched my working below.
https://ibb.co/S4V1Kzns
A spherically shaped bowl of inner radius 16cm is 8cm deep at its centre, and contains a small marble. The bowl is rotated about a vertical axis.
At what angular velocity ω will the marble leave the bowl?
I have attatched my working below.
https://ibb.co/S4V1Kzns
Reply 1
21
Original post
by swishswooshThe question is as follows:
A spherically shaped bowl of inner radius 16cm is 8cm deep at its centre, and contains a small marble. The bowl is rotated about a vertical axis.
At what angular velocity ω will the marble leave the bowl?
I have attatched my working below.
https://ibb.co/S4V1Kzns
A spherically shaped bowl of inner radius 16cm is 8cm deep at its centre, and contains a small marble. The bowl is rotated about a vertical axis.
At what angular velocity ω will the marble leave the bowl?
I have attatched my working below.
https://ibb.co/S4V1Kzns
Looks good, what did you actually enter?
Edit - youve put 1.1, think about units.
Reply 2
2
Original post
by mqb2766Looks good, what did you actually enter?
Edit - youve put 1.1, think about units.
Edit - youve put 1.1, think about units.
Can't believe I made that mistake, thanks a lot.
Reply 3
21
Original post
by swishswooshCan't believe I made that mistake, thanks a lot.
NP. Note that if it was moving at an angular speed of 1.1 rad/s, it would take about 5.5s to complete a revolution which, just doing a simple thought experiment, would be way too slow to maintain circular motion here. The correct ans corresponds to a revolution every ~1/2s which seems about right?
(edited 11 months ago)
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