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\"The cloud of gas and dust that eventually became the solar system, called the

ID: 2204788 • Letter: #

Question

"The cloud of gas and dust that eventually became the solar system, called the protosolar nebula, started out with a small rotation velocity. But when it collapsed (due to gravity, possibly triggered by a nearby supernova), the moment of inertia decreased by 99% from its original value. How many times larger is the new rotational velocity than the old?" I know that L = I * Omega, but when I enter it into this equation I do not seem to get the answer in the back of the book.. I am very confused, please help!

Explanation / Answer

Angular momentum = constant =>I1*w1 = I2*w2 =>I*w1 = 0.99*I*w2 =>w2/w1 = 1/0.99 = 1.01 times