Determine the average density of the Sun if the period of the Earth’s revolution around the Sun is taken to be 365 days.

Determine the average density of the Sun if the period of the Earth’s revolution around the Sun is taken to be 365 days. When calculating, take the radius of the earth’s orbit equal to 150 million km, and the radius of the sun – 700 thousand km.

ground speed V = 2 * pi * R / T = 30 km / s
centripetal acceleration a = V ^ 2 / R = 0.006 m / s2
a = GM / R ^ 2
mass of the sun M = a * R ^ 2 / G = 2 * 10 ^ 30 kg
sun density = M / volume = (2 * 10 ^ 30 kg) / (4/3 * pi * r ^ 3) = 1400 kg / m3

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