the sun's angular diameter is measured to be 1920". the distance D of the sun from the earth is 1.496×10^11 m . find the diameter of the sun
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the Angular diameter is the angle subtended by the diameter of the Sun planet at the eyes of a viewer.
δ = angular diameter in radiansd = actual diameter of Sun planet D = distance between the surface of Earth and Sun. = 1.496 * 10^11 meterstan δ/2 = (d/2) / D δ in radians = δ in arc seconds / 3600 * π/180 = 1920/3600* π/180 radiansd = 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 radiansd = actual diameter of Sun planet D = distance between the surface of Earth and Sun. = 1.496 * 10^11 meterstan δ/2 = (d/2) / D δ in radians = δ in arc seconds / 3600 * π/180 = 1920/3600* π/180 radiansd = 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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Distance of the sun from the earth, S= 1.5 × 10¹¹m.
Angular Diameter of the sun, = ø(theta) = 1920''=1920×4.85×10^-6 rad
Linear Diameter of the sun, =
D=S×ø= 1.5×10^11×1920×4.85×10^-6
So, Diameter = 1.4×10^9 (ans)
Angular Diameter of the sun, = ø(theta) = 1920''=1920×4.85×10^-6 rad
Linear Diameter of the sun, =
D=S×ø= 1.5×10^11×1920×4.85×10^-6
So, Diameter = 1.4×10^9 (ans)
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