A baton twirler is twirling her baton in a horizontal circle at a rate of 5.39 r

Question

A baton twirler is twirling her baton in a horizontal circle at a rate of 5.39 revolutions per second. Calculate the induced EMF between the center and one end of the baton if the magnetic field of the Earth is 0.500 gauss and oriented at 17.48o with respect to the horizontal. Assume the baton is 40.1 cm in length. A baton twirler is twirling her baton in a horizontal circle at a rate of 5.39 revolutions per second. Calculate the induced EMF between the center and one end of the baton if the magnetic field of the Earth is 0.500 gauss and oriented at 17.48o with respect to the horizontal. Assume the baton is 40.1 cm in length.

Explanation / Answer

?A = ?/(2 ?) * ? R2 = ? R2 / 2     Area due to rotation of radius of baton
E = ??/?t = B (?/t) R^2 / 2 = B ? R2 / 2     induced EMF

E =  (0.5 /10000) sin 11.36 ? R2 / 2
Since 1 gauss = .0001 T

E = (9.85* 10^-6) * 2 * ? * 4.37 * 0.20052 / 2

   = 5.43* 10^-6 V

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