It has been proposed that extending a long conducting wire from a spacecraft (a

Question

It has been proposed that extending a long conducting wire from a spacecraft (a "tether") could be used for a variety of applications, from navigation to power generation. One of the first such experiments involving this technique was an August 1992 space shuttle flight, but the tether failed and only 250 m of the conducting wire could be let out. A 40.0 V motional cmf was generated in the Earth's 5.0 times 10^-5 T field, while the shuttle and tether were moving at 7.80 times 10^-5 T field, while the shuttle and tether were moving at 7.80 times 10^3 m/s. What was the angle (in degrees) between the shuttle's velocity and the Earth's field? Theta =

Explanation / Answer

Here ,

Given data

length of wire , L = 250 m

V = 40 V

magnetic field , B = 5 *10^-5 T

speed , u = 7.8 *10^3 m/s

a)

let the angle between is theta

Formula

V = B * u*L * sin(theta)

Put the value

40 = 5 *10^-5 * 7.8 *10^3 * 250 * sin(theta)

solving for sin(theta)

sin(theta) = 0.410

theta = 24.22 degree

the angle between the shuttle's velocity and the earth's field is 24.22 degreee------and

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