1. The sun appears to move across the sky, because the earth spins on its axis. To a person standing on the earth, the sun subtends an angle of θsun = 9.28 * 10-3 rad. 2). How much time (in seconds) does it take for the sun to move a distance equal to its own diameter?

Question

Physics

Yareli Estrada

5 March, 17:06

1. The sun appears to move across the sky, because the earth spins on its axis. To a person standing on the earth, the sun subtends an angle of θsun = 9.28 * 10-3 rad. 2). How much time (in seconds) does it take for the sun to move a distance equal to its own diameter?

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Brett Yates · Answer 1

This is an astrophysics question and we will use the following formulas to get the time 't' it will take the sun to move a distance equals to it's own diameter 'd'.

Recal:

ω = 2π rads,

Then the earth's angular velocity will be,

ω = (2πrads / (24h * 3600s/h)) = 7.27x10⁻⁵ rad/s

and note that the Angular Acceleration

∅ = ω*t

9.28x10⁻³rads = 7.27x10⁻⁵rads x t

t = 127 s

Hence, the time (in seconds) it take for the sun to move a distance equal to its own diameter = 127seconds