assume mars rotates around the sun in a circular orbit of ra

assume mars rotates around the sun in a circular orbit of radius 141,600,000 mi and takes 687 days to do so. what is mars\' linear velocity (in mi/h) with respect to the sun?

Solution

r ( radius) = 141,600,000 mi

t ( time) = 687* 24 hr

w (angular velocity) = angle / time

[ in 1 revolution , angle = 2*pi]

w = 2*pi / 687*24

w = 0.021 rad/hr

V ( linear velocity) = w*r

= 0.021*141600000

= 3091703.057 = 3.09*10⁶ mi/ h