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View Full Version : URGENT Eq. Derivations!!


Pingy
2008-09-26, 23:18
So, I need to figure out how to derive two equations but its driving me nuts. I've worked on it for hours and I'm not getting anywhere.

Eq 1.

V = ((g/2)*((1+b^2)/m))^(1/2)

When b = -tan(theta) and m = (g)/(2*V^2 *cos^2(theta))

Eq 2.

Given the relationship above, V = ....

Derive the error in V: Ev Eb is error in b Em is error in m

Ev = V * [ ((b*Eb)/(b^2 +1))^2 + (Em/2m)^2 ] ^ (1/2)

I know there is some sort of partial derivative use in the second one, but its so drawn out and complicated I get lost in my own writings...

bobfish
2008-10-01, 15:18
Ev = V * [ ((b*Eb)/(b^2 +1))^2 + (Em/2m)^2 ] ^ (1/2)

therfore V= Ev / [ ((b*Eb)/(b^2 +1))^2 + (Em/2m)^2 ] ^ (1/2)