Two wheels, A and B, are arranged by a belt system as in figure. The radius of B
ID: 1991203 • Letter: T
Question
Two wheels, A and B, are arranged by a belt system as in figure. The radius of B is three times the radius of A. What would be the ration of the rotational inertias IA/IB if
(a) Both wheels have the same angular momenta?
(b) Both wheels have the same rotational kinetic energy?
Two wheels, A and B, are arranged by a belt system as in figure. The radius of B is three times the radius of A. What would be the ration of the rotational inertias IA/IB if (a) Both wheels have the same angular momenta? (b) Both wheels have the same rotational kinetic energy?Explanation / Answer
=> Wa * ra = Wb * rb
=> Wa = 3 Wb
1) same angular momenta
=> Ia *Wa = Ib * Wb
=> IA/IB = 3
2) same rotational kinetic energy
=> (1/2)Ia Wa^2 = (1/2)*Ib*Wb^2
=> IA/IB = 9
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