What is the dimensional formula for the rate of flow?

The dimensional formula for the rate of flow is [M⁰L³T^-1].

Here's a breakdown of how this is derived:

The rate of flow, often denoted as Q, represents the volume of fluid passing through a given cross-sectional area per unit of time. Therefore, it can be expressed as:

Q = Volume / Time

Let's analyze the dimensions of each component:

• Volume: Volume is a measure of three-dimensional space and has dimensions of Length x Length x Length, which is [L³].
• Time: Time is a fundamental dimension represented by [T].

Therefore, the dimensional formula for the rate of flow becomes:

Q = [L³] / [T] = [L³T^-1]

Since mass (M) is not a factor in the rate of flow calculation, we can express it as [M⁰]. Consequently, the complete dimensional formula for the rate of flow is:

[M⁰L³T^-1]