Answer to Question #5134 in Mechanics | Relativity for Jason Ranak
In the original configuration w = 2*pi*2 rad/s, so initially L1 = 150*2*pi*2
In the final configuration L2 = 60*2*pi*n2 where n2 is the final number of revs per sec.
Equating L1 to L2 gives 150*2*pi*2 = 60*2*pi*n2
n2 = 2*150/60 = 5rps If you want an answer in radians/s, you multiply this by 2*pi.
This is a formal solution, but you can take a short cut: since I*n is a constant, I1*n1 = I2*n2, leading to n2 = I1*n1/I2 - a simple problem in proportion. Subscripts 1 & 2 refer to the initial and final conditions.
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