Question

The earth moves round the sun in an almost circular orbit of radius 1.5 × 10¹¹ m with constant angular speed. Calculate its i. angular velocity ii. linear velocity iii. centripetal acceleration 

[Given: 1 year = 3.156 × 10⁷ sec, 

Mass of earth = 5.98 × 10²⁴ kg]

Answer 1

For the earth moving round the sun: 

i. the angular velocity is 1.99 × 10^–7 rad/s,

ii. the linear velocity is 2.985 × 10⁴ m/s and 

iii. the centripetal acceleration is 5.941 × 10^–3 m/s² .