Answer:
Revolutions per day = 2.7 x 10⁻³ rev/day
ω = 1.72 x 10⁻² radians/day
Explanation:
It is given that the earth completes one revolution around the sun in 365 days. So, for the revolutions in one day we simply divide it by 365 days.
Revolutions per day = (No. of Revolutions)/(No. of Days)
Revolutions per day = 1 rev/365 days
Revolutions per day = 2.7 x 10⁻³ rev/day
The angular velocity is given as the ration of angular displacement to the time taken for the displacement. The formula for angular displacement is given as follows:
ω = θ/t
where,
ω = angular velocity = ?
θ = angular displacement = (1 rev)(2π rad/1 rev) = 2π radians
t = time = 365 days
Therefore,
ω = (2π radians)/(365 days)
ω = 1.72 x 10⁻² radians/day
