Practical Problem Solving in University Physics by Fung Albert
Author:Fung, Albert [Fung, Albert]
Language: eng
Format: epub
Published: 2021-07-09T00:00:00+00:00
50.â Voltage on airplane
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Q50: When an airplane flies in the air, the wingspan of 70 m pass through Earth magnetic field of 50 μT and generates an EMF (electromotive force) of 1 V. Find the airplane speed.
A50: With a conductor moving in a magnetic field,
motional EMF = v·L·B, where Length L = 70 m.
Magnetic field B = 50 x 10-6 T.
So, v = 286 m/s = 640 mph.
51.â Car motor
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Q51: In a sports car, the electric motor coil has 270 turns of area 12 cm x 15 cm. in a magnetic field of 0.6 T. The current in the coils is 30 A. The overall tire diameter is 70 cm. Find the:
(a) magnetic dipole moment in the coils.
(b) rolling friction on the ground, assuming all the torque goes to overcoming friction.
A51: Torque is provided by the electric motor.
The coils in the motor acts like a magnetic dipole with a moment μ = N·I·A, where N = 270 turns, I = 30 A, A = 12 cm x 15 cm = 0.018 m2 . So, μ = 146 N/T (a)
Torque Ï = μ x B, where B = 0.6 T. So, Ï = 87.5 N·m.
On the other hand, Ï = r x F, where radius r = 70 cm / 2 = 35 cm.
So, rolling friction F = 250 N. â â (b)
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