A huge circular arc of length 4 . 4 ly subtends an angle 4 s at the centre of the circle. How long it would take for a body to complete 4 revolution if its speed is 8 AU per second? Given : 1 ly = 9 . 46 × 10 15 m 1 AU = 1 . 5 × 10 11 m

Step-by-step solution

ℓ = 4 . 4 ly = 4 . 4 × 9 . 46 × 10 15 length of Arc. = ℓ = R θ 4 . 4 × 9 . 46 × 10 15 = R θ θ = 4   S = 4 × 4 . 843 × 10 - 6 = 1 . 94 × 10 - 5 rad 4 . 4 × 9 . 46 × 10 15 = R × 1 . 94 × 10 - 5 R = 2 . 1455 × 10 21 meter Speed = 8 Au = 8 × 1 . 5 × 10 11   ms - 1 = 12 × 10 11   ms - 1 4 revolution means distance = 4 × 2 π R metre time =  distance   speed  = 4 × 2 &#960