A bicycle generator rotates at 1,800 rad/s, producing a 15.5 V peak emf. It has a 45-turn, 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.48 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle? (Enter the magnitude in m/s.) |m/s (b) What is the maximum emf (in V) of the generator when the bicycle moves at 10.0 m/s, noting that it was 15.5 V under the original conditions? (e) If the sophisticated generator can vary its own magnetic field, what field strength (in T) will it need at 5.00 m/s to produce a 9.00 V maximum emf?

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A bicycle generator rotates at 1,800 rad/s, producing a 15.5 V peak emf. It has a 45-turn, 1.00 by 3.00 cm rectangular coil
in a 0.640 T field. It is driven by a 1.48 cm diameter wheel that rolls on the outside rim of the bicycle tire.
(a) What is the velocity of the bicycle? (Enter the magnitude in m/s.)
m/s
(b) What is the maximum emf (in V) of the generator when the bicycle moves at 10.0 m/s, noting that it was 15.5 V
under the original conditions?
V
(c) If the sophisticated generator can vary its own magnetic field, what field strength (in T) will it need at 5.00 m/s to
produce a 9.00 V maximum emf?
Transcribed Image Text:A bicycle generator rotates at 1,800 rad/s, producing a 15.5 V peak emf. It has a 45-turn, 1.00 by 3.00 cm rectangular coil in a 0.640 T field. It is driven by a 1.48 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle? (Enter the magnitude in m/s.) m/s (b) What is the maximum emf (in V) of the generator when the bicycle moves at 10.0 m/s, noting that it was 15.5 V under the original conditions? V (c) If the sophisticated generator can vary its own magnetic field, what field strength (in T) will it need at 5.00 m/s to produce a 9.00 V maximum emf?
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