(a) Show that a point on the surface of the earth at latitude has an acceleration relative to a reference frame not rotating with the earth with a magnitude of 3 37 cos cm s 2 What is the direction of this acceleration (b) Discuss the effect of this acceleration on the apparent weight of an object ...

a R 637 10 8 cm is the radius of the earth At a latitude of q the distance from the surface of ...

(a) Show that a point on the surface of the earth at latitude has an acceleration...

Question:

(a) Show that a point on the surface of the earth at latitude θ has an acceleration relative to a reference frame not rotating with the earth with a magnitude of 3.37 cos θ cm/s². What is the direction of this acceleration?

(b) Discuss the effect of this acceleration on the apparent weight of an object near the surface of the earth.

(c) The free-fall acceleration of an object at sea level measured relative to the earth's surface is 9.78 m/s² at the equator and 9.81 m/s² at latitude θ = 45°. What are t he values of the gravitational field g at these points?