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This problem refers to the bicycle generator considered in the previous problem. It is driven by a 1.60 cm diameter wheel that rolls on the outside rim of the bicycle tire. (a) What is the velocity of the bicycle if the generator’s angular velocity is 1875 rad/s? (b) What is the maximum emf of the generator when the bicycle moves at 10.0 m/s, noting that it was 18.0 V under the original conditions? (c) If the sophisticated generator can vary its own magnetic field, what field strength will it need at 5.00 m/s to produce a 9.00 V maximum emf?

a. 15 $\mathrm{m} / \mathrm{s}$b. 8.3 $\mathrm{m} / \mathrm{s}$c. 0.96 $\mathrm{I}$

15:50

Mohammad A.

Physics 102 Electricity and Magnetism

Chapter 23

Electromagnetic Induction, AC Circuits, and Electrical Technologies

Electromagnetic Induction

Cornell University

Rutgers, The State University of New Jersey

Hope College

University of Sheffield

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in this question. It is about the bicycle generator. Okay, so in that dynamo in that generator, Uh, Okay, So, uh, there's a cap and the diameter is 1.6 a m. Okay. And then when this this is the one that's going to rotate it and rotate the mag net inside the generator, which generates the Yemen for the bicycle. Okay, so, um, treat parts in this question. Uh huh. In part, a young Given that, uh oh, my God. The diameter view key is, um 18. All right, 1,002,000, 875 regions per second. Okay. And we're interested to find a velocity of the bicycle. Okay, so you just do we go to our omega K and R is 1.6 c. M by two. Okay, then multiply by 1875 and you get 15. Meet us for a second. Okay, so this is the answer for part a and then in part B, we want to find a maximum e m f off the generator when the bicycle is moving at 10 m per second. He given that in the usual in at 15 m per second. The maximum. Yemen is, uh, 18 boards. Okay, so, uh, at we go to 15 years for a second hour, MX is 18 words, and then we go to 10 just for a second. Why, Cemex? Okay, Okay. So we'll be using the formula. Uh, imax salty peak is equal to N b a Omega eso. So this formula kind of tells us that if other France, uh, three of them is constant and one of them changing, we can actually copulate events by ratio. So, um so when we see that the prime is 10 m per second. Okay, so we prime iss toe 30. Okay, so we expect that Omega Prime is to the Omega, and so e m X crime is going to be to the law. MX far. And this is transports. Yeah, because, uh, Imex waas 18 months. Okay. Alright, then in proxy. Um, we want to find a few train for the generator to produce. Uh, Imex off nine words. 500 per second. Okay. So, again, using the same formula E max, is it good to and in America? So you next. It's proportional to be time, so make up. Okay, So we are going to put, uh, he makes one by MX two is equal to the one who make up one even be to let me go to K. Right. So, uh, the next one is 15 votes e next tool if neighborhoods key. And, uh, E one is 0.640 Testa and only right to is going to be wanted. Oh, my God. One. Okay, because the bicycles morning at 5 m per second, which is one third of the speed are found. 80. So we have 15/9. Request to 0.6400 my God. When we got one, If I buy we to one third Omega one. Okay, so we can't cancel this, and then you have be to It goes to nine times. Three times 7.640 developed by 15. Mhm. Okay. Calculate days. You get 1.15 Tesla. Yeah. Okay, so the answer for Patsy is 1.15 Tesla. Yeah, and that's all for this question.

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