🧮 Dimensional Formula Builder — set the exponents, read the quantity

Every mechanical quantity is a product of just three base dimensions: mass M, length L and time T. Choose the three exponents and watch which quantity they spell out.

Walkthrough 1 / 1

The complete picture.

Mass exponent a +1

Length exponent b +1

Time exponent c −2

[M^a L^b T^c] = [M L T⁻²]
quantity = force

unit conversion: n₂ = n₁(u₁/u₂) = n₁ when the two systems agree.
homogeneity: [LHS] = [RHS] for every additive term; a pure number is [M⁰ L⁰ T⁰].

Animation speed 1.0×