Astronomy : Velocity of approach of the Sun's equator

AI Thread Summary
The discussion focuses on calculating the maximum velocity of the Sun's equator as viewed from Earth, which is determined to be approximately 2.04 m/s based on its rotational period of 25 days and a radius of 700,000 km. Participants clarify the need to convert units properly and emphasize the importance of distinguishing between the frequency of the Sun's rotation and the frequency of light for Doppler shift calculations. The maximum change in wavelength due to this rotation is also discussed, highlighting the relevance of these calculations to understanding spectral lines. There is a consensus on the necessity of accurate computations and proper unit conversions to arrive at correct results. The conversation underscores the complexities involved in astrophysical measurements and their implications.
bri7
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The sun's rotational period is 25 days at the equator. Given that the radius of the sun is 700,000 km, calculate the max velocity of approach or recession of the Sun's equator as viewed from Earth. Find the max change in wavelength of a spectral line due to the rotation and express it as a percentage of the rest wavelength of the line.

Relevant equations
Circular motion formula v = (2*pi*r)/period

Frequency = 1/period
wavelength = c/frequency

The attempt at a solution
Convert period into seconds
P = 2 160 000 sec

Convert radius of Sun into m
r = 7*10^7 m

v = (2*pi*7*10^7m)/2 160 000 s
= 2.04 m/s

frequency = 1/period
f = 1/ 2 160 000

wavelength = c/f
= 6.48*10^14 m

I'm not really sure what the question is asking beyond this
 
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bri7 said:
Convert radius of Sun into m
r = 7*10^7 m

How many meters are there in 1 km? You also neef to recheck your other computations because you are randomly getting the powers of 10 wrong.

frequency = 1/period
f = 1/ 2 160 000

wavelength = c/f
= 6.48*10^14 m

No, this is not the frequency of the light. It is the frequency of rotation. The actual frequency of the light is irrelevant for the question as it asks you for a ratio for the Doppler shift of the light frequency.
 
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