In this post, we are going to list the formulas, dimensions, and *dimensional formulas* of important physical quantities in a tabular format. In these formulas, M stands for mass, L stands for length, and T stands for time.

Here is the table below. We will add more such dimensional formulas to this list.

## Dimensional formulas of physical quantities

Physical Quantity | Formula | Dimensions | DimensionalFormula |

Area | length × breadth | [L^{2}] | [M^{0}L^{2}T^{0}] |

Volume | length × breath × height | [L^{3}] | [M^{0}L^{3}T^{0}] |

Density | mass/volume | [M]/[L^{3}] or [ML^{–3}] | [ML^{–3}T^{0}] |

Frequency | 1/time period | 1/[T] | [M^{0}L^{0}T^{–1}] |

Velocity | displacement/time | [L]/[T] | [M^{0}LT^{–1}] |

Acceleration | velocity/time | [LT^{–1}]/[T] | [M^{0}LT^{–2}] |

Force | mass × acceleration | [M] [LT^{–2}] | [MLT^{–2}] |

Impulse | force × time | [MLT^{–2}][T] | [MLT^{–1}] |

Work | force x distance | [MLT^{–2}][L] | [ML^{2}T^{–2}] |

Power | work/time | [ML^{2}T^{–2}]/[T] | [ML^{2}T^{–3}] |

Momentum | mass × velocity | [M] [LT^{–1}] | [MLT^{–1}] |

Pressure stress | force/area | [MLT^{–2}]/[L^{2}] | [ML^{–1}T^{–2}] |

Strain | change in dimension/original dimension | [L]/[L] or [L^{3}]/[L^{3}] | [M^{0}L^{0}T^{0}] |

Modulus of elasticity | stress/strain | [ML^{–1}T^{–2}] / [M^{0}L^{0}T^{0}] | [ML^{–1}T^{–2}] |

Surface tension | force/length | [MLT^{–2}]/[L] | [ML^{0}T^{–2}] |

Surface energy per unit area | energy/area | [ML^{2}T^{–2}]/[L^{2}] | [ML^{0}T^{–2}] |

Velocity gradient | velocity/distance | [LT^{–1}]/[L] | [M^{0}L^{0}T^{–1}] |

Pressure gradient | pressure/distance | [ML^{–1}T^{–2}]/[L] | [ML^{–2}T^{–2}] |

Pressure energy | pressure × volume | [ML^{–1}T^{–2}][L^{3}] | [ML^{2}T^{–2}] |

Dimensions & Dimensional formulas of physical quantities