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A certain uniform turntable of diameter D0 has an angular

Chapter 4, Problem 21DQ

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QUESTION:

A certain uniform turntable of diameter ?D?0 has an angular momentum ?L?0. If you want to redesign it so it retains the same mass but has twice as much angular momentum at the same angular velocity as before, what should be its diameter in terms of ?D? ?

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QUESTION:

A certain uniform turntable of diameter ?D?0 has an angular momentum ?L?0. If you want to redesign it so it retains the same mass but has twice as much angular momentum at the same angular velocity as before, what should be its diameter in terms of ?D? ?

ANSWER:

Solution 21DQ Step 1 of 2: Angular momentum is given by L0= I Moment of inertia of the disc is I = mR1 2 2 2 = M1 D0 2 4 2 Now angular momentum can be written as L = MD 0 8 0

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