Acceleration due to Gravity Formula
Mathematically, the acceleration due to gravity is directly proportional to the mass of the object and inversely proportional to the distance from the center of mass, so given as:
[Tex]g\propto\dfrac{m}{r^2}[/Tex]
or
[Tex]g=\dfrac{Gm}{r^2}[/Tex]
where,
- g is the acceleration due to gravity,
- G is the Gravitational constant,
- m is the mass of the body and
- r is the distance from the center.
Acceleration due to Gravity
Acceleration due to gravity (or acceleration of gravity) or gravity acceleration is the acceleration caused by the gravitational force of attraction of large bodies. As we know that the term acceleration is defined as the rate of change of velocity with respect to a given time. Scientists like Sir Isaac Newton and Lord Henry Cavendish soon discovered that this increase in speed, or acceleration, was caused by a different force known as gravity by studying objects falling to the Earth in a variety of circumstances.
According to definitions, gravity is a force that pulls objects toward the center of mass, like the Earth. Conversely, acceleration describes how an object’s velocity or speed changes over time. Hence, the value of acceleration due to gravity is 9.8 m/s2 on earth.
Table of Content
- What is Acceleration due to Gravity?
- Acceleration due to Gravity Formula
- Units of Acceleration due to Gravity
- Derivation for the formula of acceleration due to gravity
- Calculation of the Value of Acceleration due to Gravity
- Factor affecting Acceleration due to Gravity
- Effects on g due to Height (h)
- Effects on g due to Depth D
- Effects on g due to Shape of Earth
- Effects on g due to the Rotation