(a) Earth can be thought of as a sphere of radius 6400 km. Any object (or a person) is performing circular motion around the axis of earth due to earth’s rotation (period 1 day). What is acceleration of object on the surface of the earth (at equator) towards its centre? what is it at latitude θ? How does these accelerations compare with g = 9.8 m/s2?
(b) Earth also moves in circular orbit around sun once every year with on orbital radius of 1.5 X 1011 m. What is the acceleration of earth (or any object on the surface of the earth) towards the centre of the sun? How does this acceleration compare with g = 9.8 m/s2?
(Hint : acceleration 
= 
)
(a) Given-
Radius of Earth = R = 6400km
Time period of circular motion of object around the earth = T = 1day = 24 hours
At the equator,
For an object performing circular motion acceleration can be found as,
3.38×10-2m/s2
At latitude θ,
(b) Given-
Orbital radius of Earth around Sun = 1.5×1011 m
Time period of 1 revolution = 1 year =365 days
We know acceleration during circular motion is given by,
= 5.97×10-3m/s2
Couldn't generate an explanation.
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