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mybrohshi5
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Homework Statement
A force in polar coordinates is given by F1 = 50±2 N at the angle 30±2 degrees.
Find the value and uncertainty for Fx and Fy
Since force is a vector, there will be an error in both its magnitude and direction...
angle calculations must be in RADIANS...
[itex]
30\frac{+}{}2 degrees = \frac{\pi}{6} \frac{+}{} \frac{\pi}{90}
[/itex]
Homework Equations
Fx = F cos(θ)
Fy = F sin(θ)
The Attempt at a Solution
Fx is a function of both F and θ so i took the derivative of Fx = F cos(θ) using the chain rule.
[itex]
F_{x-error} = cos(\theta)\frac{dF_x}{dF} - F(sin(\theta))\frac{dF_x}{d\theta}
[/itex]
I did the same for Fy
[itex]
F_{y-error}= sin(\theta)\frac{dF_y}{dF} + F(cos(\theta))\frac{dF_y}{d\theta}
[/itex]Can i please get some help with what to do next. I am a little lost and confused :(
Thanks for any help :)
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