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...
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...