Question

Consider the equation = 13 z xt 2. The dimensions of the variables υ, x, and t are [L]/[T], [L], and [T], respectively. The numerical factor 3 is di- mensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? Show how you determined your answer.

Answer 1

Step-by-step explanation:

υ = ⅓ zxt²

Plug in units:

[L]/[T] = z [L] [T]²

Solve for z:

z = 1/[T]³

or z = [T]⁻³