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An electromagnetic doorbell has been constructed by wrapping 66 turns of wire around a long, thin rod, as shown in the figure. The rod has a mass of 34 g, a length of 8 cm, and a cross-sectional area of 0.3 cm2. The rod is free to pivot about an axis through its center, which is also the center of the coil. Initially, the rod makes an angle of ? = 25° with the horizontal. When ? = 0°, the rod strikes a bell. There is a uniform magnetic field of 963 G directed along ? = 0°.
(a) If a current of 2 A is flowing in the coil, what is the magnitude of the torque on the rod when ? = 25°?
(b) What is the magnitude of the angular velocity of the rod when it strikes the bell?
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