1Which is the dimensional formula of volume flow rate?
Volume flow rate works out to [L³ T⁻¹].
Properties of matterClass 11, Mechanical Properties of Fluids
Dimensional formula of Volume flow rate
[L3 T-1]
Volume passing a point per unit time, area times speed. The equation of continuity keeps it steady.
How to get the dimensional formula of volume flow rate
- Start from the definition: volume flow rate = volume / time.
- volume = length3, so volume is [L]3 = [L3].
- Put in the dimension of each part: [L3] / [T].
- Add the powers of each base quantity: [L3 T-1].
Three questions on volume flow rate
2What is the SI unit of volume flow rate?
The SI unit of volume flow rate is the cubic metre per second (m³/s).
3Do volume flow rate and Reynolds number have the same dimensions?
Volume flow rate is [L³ T⁻¹] but Reynolds number is [M⁰ L⁰ T⁰].
Volume flow rate: quick answers
What is the dimensional formula of volume flow rate?
The dimensional formula of volume flow rate is [L³ T⁻¹]. It comes from volume flow rate = volume / time.
What is the SI unit of volume flow rate?
The SI unit of volume flow rate is the cubic metre per second (m³/s).
Is volume flow rate dimensionless?
No. Volume flow rate has the dimensions [L³ T⁻¹].