Posted by **Kristie** on Sunday, September 2, 2012 at 6:07pm.

Consider the equation

v = 1/4zxt^2.

The dimensions of the variables v, x, and t are [L]/[T], [L], and [T], respectively. The numerical factor 4 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions?