Numford

Properties of matterClass 11, Mechanical Properties of Fluids

Dimensional formula of Mass flow rate

[M T-1]

SI unitkilogram per second (kg/s)

Mass passing a point per unit time, density times area times speed.

Derivation

How to get the dimensional formula of mass flow rate

  1. Start from the definition: mass flow rate = mass / time.
  2. Put in the dimension of each part: [M] / [T].
  3. Add the powers of each base quantity: [M T-1].
Same dimensions

Quantities with the dimensions [M T⁻¹]

Equal dimensions do not make them the same quantity. Compare mass flow rate with the others in the full grid.

Practice

Three questions on mass flow rate

1Which of these has the same dimensions as mass flow rate?

2What is the SI unit of mass flow rate?

3Do mass flow rate and pressure gradient have the same dimensions?

Questions

Mass flow rate: quick answers

What is the dimensional formula of mass flow rate?

The dimensional formula of mass flow rate is [M T⁻¹]. It comes from mass flow rate = mass / time.

What is the SI unit of mass flow rate?

The SI unit of mass flow rate is the kilogram per second (kg/s).

Which quantities have the same dimensions as mass flow rate?

Mass flow rate shares [M T⁻¹] with damping constant. Equal dimensions do not make them the same quantity.

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