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Question
The sun angular diameter is mesured to be 1920°.the distance d of the sun from the earth is 1.496×10^11 m . What is the diameter of the sun
The sun angular diameter is mesured to be 1920°.the distance d of the sun from the earth is 1.496×10^11 m . What is the diameter of the sun
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Solution
Angular diameter is the angle subtended by the diameter of the Sun planet at the eyes of a viewer.
δ = angular diameter in radians
d = actual diameter of Sun planet
D = distance between the surface of Earth and Sun. = 1.496 * 10^11 meters
tan δ/2 = (d/2) / D
δ in radians = δ in arcseconds / 3600 * π/180 = 1920/3600* π/180 radians
d = 2 D tan δ/2 = 1.39 *10^9 meters
= 1.390 &10^6 km
Earth's diameter = 12,742 km
Sun's diameter is around 109 times Earth's. so it is 1388872 km
= 1.388 * 10^6 km
δ = angular diameter in radians
d = actual diameter of Sun planet
D = distance between the surface of Earth and Sun. = 1.496 * 10^11 meters
tan δ/2 = (d/2) / D
δ in radians = δ in arcseconds / 3600 * π/180 = 1920/3600* π/180 radians
d = 2 D tan δ/2 = 1.39 *10^9 meters
= 1.390 &10^6 km
Earth's diameter = 12,742 km
Sun's diameter is around 109 times Earth's. so it is 1388872 km
= 1.388 * 10^6 km
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