(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A force in polar coordinates is given by F1 = 50±2 N at the angle 30±2 degrees.

Find the value and uncertainty for F_{x}and F_{y}

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]

2. Relevant equations

F_{x}= F cos(θ)

F_{y}= F sin(θ)

3. The attempt at a solution

F_{x}is a function of both F and θ so i took the derivative of F_{x}= 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 F_{y}

[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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# Homework Help: Force vector - Value and uncertainty for components

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