A car tyre is normally threaded with wire loops. Dunlop tyres have about 200 loops a tyre. A car running on such tyres travels at speed of 16.7 m s−1 along a level road such that the magnetic field of the earth makes an angle of 53° with the axis of the tyre at all the times. If the magnetic field is 1.02×10−5 T, calculate (i) The induced current through a loop if the tyre’s diameter is 0.65 m and its resistance per unit length is 8.0×10−3 Ω m−1. (ii) How much power is generated on the tyre due to its motion in the earth’s magnetic field? (iii) What does it suggest to you about the usage of threaded car tyres?

College Physics
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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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A car tyre is normally threaded with wire loops. Dunlop tyres have about 200 loops a tyre. A car running on such tyres travels at speed of 16.7 m s−1 along a level road such that the magnetic field of the earth makes an angle of 53° with the axis of the tyre at all the times. If the magnetic field is 1.02×10−5 T, calculate (i) The induced current through a loop if the tyre’s diameter is 0.65 m and its resistance per unit length is 8.0×10−3 Ω m−1. (ii) How much power is generated on the tyre due to its motion in the earth’s magnetic field? (iii) What does it suggest to you about the usage of threaded car tyres?

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