Consider the equation v = zxt 2 . The dimensions of the variables v , x , and t
ID: 1651552 • Letter: C
Question
Consider the equation
v =
zxt2.
The dimensions of the variables v, x, and t are [L]/[T], [L], and [T], respectively. The numerical factor 5 is dimensionless. What must be the dimensions of the variable z, such that both sides of the equation have the same dimensions? (Use the following as necessary: [L], [T].)
(I tryed z = 1/(T^3) and z = 1/(T^5) and both are wrong. Someone please enlighting me. )
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Explanation / Answer
V has a dimension of m/s
xt2 has dimension of LT2 so to get L/T z has to be of dimension (1/T)3