- #1
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Is this expression dimentionally consistant?
[tex]v^2=2ax[/tex]
where v is velocity, a is acceleration and x represents a length in meters.
[tex](m/s)^2=2*m/s^2 * m[/tex]
[tex]m^2/s^2=2*m/s^2 * m[/tex]
[tex]m^2/s^2 = 2 * m^2/s^2[/tex]
I'm not sure if the 2 makes the thing not dimentionally consistant. My guess is since the 2 is unitless, the expression is dimentionally consistant. Any thoughts?
[tex]v^2=2ax[/tex]
where v is velocity, a is acceleration and x represents a length in meters.
[tex](m/s)^2=2*m/s^2 * m[/tex]
[tex]m^2/s^2=2*m/s^2 * m[/tex]
[tex]m^2/s^2 = 2 * m^2/s^2[/tex]
I'm not sure if the 2 makes the thing not dimentionally consistant. My guess is since the 2 is unitless, the expression is dimentionally consistant. Any thoughts?