A distant galaxy is simultaneously rotating and receding from the earth. As the

Question

A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG = 1.50 106 m/s.Relative to the center, the tangential speed is vT = 0.450 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A andB are measured on earth, they are not the same and each is different from the emitted frequency of 8.331 1014 Hz. Find the measured frequency for the light from (a) region A and (b)region B. (Give your answer to 4 significant digits. Use 2.998 108 m/s as the speed of light.)

A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of uG = 1.50 ½ 106 m/s.Relative to the center, the tangential speed is vT = 0.450 ½ 106 m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A andB are measured on earth, they are not the same and each is different from the emitted frequency of 8.331 ½ 1014 Hz. Find the measured frequency for the light from (a) region A and (b)region B. (Give your answer to 4 significant digits. Use 2.998 ½ 108 m/s as the speed of light.)

Explanation / Answer

A. Tangential speed at A is toward earth:
v = 1.34E6 m/s

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