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https://texercises.com/exercise/ruler/
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The following quantities appear in the problem: Zeit \(t\) / Zerfallskonstante \(\lambda\) / Energie \(E\) / Amplitude \(\hat y\) / Winkelgeschwindigkeit / Kreisfrequenz \(\omega\) / Volumen \(V\) / Radius \(r\) / Winkel \(\theta\) / Fläche \(A\) / Kraft \(F\) / Elongation \(y_t\) / Strecke \(s\) / Masse \(m\) / Anzahl \(N\) / Beschleunigung \(a\) / Federkonstante \(D\) / Dichte \(\varrho\) / Brechzahl \(n\) / Druck \(p\) / Geschwindigkeit \(v\) /
The following formulas must be used to solve the exercise: \(s = \dfrac{1}{2}at^2+v_0 t \quad \) \(\varrho = \dfrac{m}{V} \quad \) \(p = \dfrac{F}{A} \quad \) \(F = Ds \quad \) \(\epsilon_f(a,b) \lesssim \left| \frac{\partial f}{\partial x}(a_0, b_0) \right| \Delta x + \left| \frac{\partial f}{\partial y}(a_0, b_0) \right| \Delta y \quad \) \(s = vt \quad \) \(y = \hat y \cdot \sin(\omega t + \varphi_0) \quad \) \(V = \dfrac{4}{3}\pi r^3 \quad \) \(n_1 \sin\alpha_1 = n_2 \sin\alpha_2 \quad \) \(E = \dfrac12 D s^2 \quad \) \(N_t = N_0 \cdot \text{e}^{-\lambda t} \quad \)
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Exercise:
A distance of sO is measured using a ruler with a graduation of asO. Calculate the relative uncertay.

Solution:
r_s rsF fracass rs resultrspercP
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Exercise:
A distance of sO is measured using a ruler with a graduation of asO. Calculate the relative uncertay.

Solution:
r_s rsF fracass rs resultrspercP
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Topic
Tags
absolute error, relative error
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(1, default)
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0 (default)
Language
ENG (English)
Type
Calculative / Quantity
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