If the earth stops rotating, the apparent value of g on the earth sur...
The effect of rotation of the earth on gravitational acceleration g, appears everywhere but is negligible on poles.
If the earth stops rotating the value of g will remain the same at the poles and increase at other places.
Important Points:
Acceleration due to gravity (g)
Object receiving an acceleration due to the force of gravity acting on it is called gravitational acceleration.
The SI unit for the ‘g’ is m/s2Its standard value is 9.8 m/s2 on the surface of the earth at sea level.
Acceleration due to gravity is defined as
g = GM/R2
Where,
G = Universal gravitational constant
M = Mass of the earth
R = Radius of earth
If the earth stops rotating, the apparent value of g on the earth sur...
Explanation:
When the Earth rotates, it experiences a centrifugal force due to its rotation. This force opposes the force of gravity, resulting in a decrease in the effective value of gravitational acceleration (g) at the Earth's surface. However, if the Earth were to stop rotating, this centrifugal force would no longer exist, causing the apparent value of g to change.
Effect of Earth's Rotation on g:
- The Earth's rotation causes a bulging effect at the equator due to the centrifugal force. This bulging effect leads to a decrease in the gravitational pull at the equator, resulting in a slightly lower value of g compared to the poles.
- At the poles, where the centrifugal force is negligible, the value of g is slightly higher compared to the equator.
Effect of Earth's Rotation Stopping:
If the Earth were to stop rotating, the centrifugal force would disappear, causing the following effects on the apparent value of g:
1. Increase at the Equator:
- At the equator, the centrifugal force was opposing gravity, leading to a decrease in the effective value of g.
- With the absence of the centrifugal force, the gravitational force would be the only force acting, resulting in an increase in the apparent value of g at the equator.
2. Remains the Same at the Poles:
- At the poles, where the centrifugal force is negligible, the value of g is primarily determined by the mass and radius of the Earth.
- Since the stopping of Earth's rotation does not affect the mass and radius of the Earth, the value of g would remain the same at the poles.
Conclusion:
Therefore, if the Earth were to stop rotating, the apparent value of g on the Earth's surface would remain the same at the poles and increase at other places, specifically at the equator. Hence, the correct answer is option 'D' - "Remain the same at poles and increase at other places."
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