The dimension of acceleration due to gravity is L¹T⁻².
Explanation
Acceleration due to gravity, often denoted as 'g', is the acceleration experienced by an object due to the force of gravity. Its dimension can be derived from its units. In the International System of Units (SI), acceleration is measured in meters per second squared (m/s²).
Let's break down the dimensions:
- Length (L): Measured in meters (m).
- Time (T): Measured in seconds (s).
Since acceleration is measured in m/s², its dimension is length divided by time squared, which is represented as L/T² or L¹T⁻². Mass (M) does not play a role in the dimension of acceleration.
Dimensional Formula
The dimensional formula for acceleration due to gravity is therefore:
M⁰L¹T⁻²
This indicates that acceleration due to gravity has a dimension of length to the power of 1, time to the power of -2, and mass to the power of 0 (meaning mass is not a part of its dimension).
