Question

5 5. An artificial satellite is going around the earth at a distance o) 1600 km. calculate the period of revolution and orbital welocity. Ginen radius of earth is 6400km and g- 9.8 m/33​

Answer 1

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Answer 2

Given:

Artificial satellite is going around earth at distance (H)  = 1600 $Km$

Radius (R) = 6400$Km$

Gravity (g) = 9.8 $m s^{-2}$

To Find:

Period of the revolution = ?

Orbital Velocity =  ?

Solution:

We know from orbital velocity-

R = 6400$Km$

Radius of the orbit (r) = 6400 + 1600 = 8000$Km$

$v = \sqrt{\dfrac{gR^{2} }{r} }$

v = √9.8 ×  (6.4 × $10^{6}$)²/ 8 × $10^{6}$

v = √401 × $10^{6}$ / 8

v = √ 50.1 × $10^{6}$

v = 7.07 × $10^{3}$

T = 2πr / v

T = 2 × 3.14 × 8 × $10^{6}$ / 7.07 × $10^{3}$

T = 7.10 × $10^{3}$ seconds