Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Consider the equation v = 1/4zxt^2. The dimensions of the variables v, x, and t are [L]/[T], [L], and [T], respectively. The nu...Asked by isalbelle
Consider the equation
v = (1/4)zxt^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?
v = (1/4)zxt^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?
Answers
Answered by
Steve
v = 1/4 zxt^2
z = 4v / xt^2
= (L/T) / (LT^2)
= 1/T^3
z = 4v / xt^2
= (L/T) / (LT^2)
= 1/T^3
Answered by
Kamogelo Malele
L/T = zLT^2
L/T ÷ LT = zT
1/T^2 = zT
1/T^3 = z
L/T ÷ LT = zT
1/T^2 = zT
1/T^3 = z