Question

if the earth stops rotating about its axis then what will be the change in the value of g at a plane in the equatorial plane Assume that the earth is a sphere of radius 6.4×10^6m?​

Answer 1

Answer:

The equatorial g will increase by amount g1 when not rotating and will be equal to polar g.

Explanation:

Without rotation Earth will not have an equatorial bulge and its radius will go on its average radius 6,371 km. The simplest way to get this answer is use to the motion of centrifugal force. when a body rotates about the centre if the earth , the action of inertia show up as if an apparent centrifugal force is acting upon it pointing away from the centre of the Earth in effect cancelling a very small part of the weight. The magnitude of that force mv² so the acceleration

R

corresponding to its

$d \frac{ {v}^{2} }{r}$

Average radius of Earth = 6,371,000 m

Earth period = T = 24 hours = 24 ×3600s

= 86400 s

Equatorial velocity = v= 2(3.1416)R =

T

2× 3.1416 × 6,371,000 m/s = 463.3 m/s

86400

Centripetal Acceleration = g1 = V² =

R

(463.3) = 0.0337 m/s²

6,371,000

The equatorial g will increase by amount g1 when not rotating and will be equal to polar g.

Hope it is helpful to you

Please mark me brainlist answer..