I was wondering if this formula is dimensionally correct:
v = Square root FX/m divided by mass
v= m/s F= kgm/s^2 X = meters divided by mass (kg)
v = root kgm * m
s^2
------
kg
My half solution:
m/s = root kgm^2
s^2
------
root kg
m/s = m/s root kg
--- the kg cancels
root kg
which leaves me with: m/s = m/s
thus the equation is dimensionally correct(?). I am unsure however if I violated any square root rules. Please help.
It is correct.
1 answer
You did not violate any square root rules. The square root of a product is the product of the square roots, and the square root of a quotient is the quotient of the square roots.
1 answer