Updated spacing between @ latex expressions

astrosander edited
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revision #10282 parent #9746 GitHub c702ebe ← older newer →
en/1.5.12.md +4 −4
@@ -83,15 +83,15 @@
<p>The bead will move along the spoke with the velocity $\upsilon_{\parallel}$, and since the spoke rotates, the bead will have a velocity component perpendicular to the spoke: $\upsilon_{\perp}$</p>
<p>Then the absolute velocity $\vec{v}$ in Non-inertial reference frame will be equal to the vector sum of $\vec{v}_{rel}$ and $\vec{v}_{cl}$</p>
−$$ \upsilon_{\perp}=\omega r=\omega\cdot 2R\cos\alpha $$
+$$ \upsilon_{\perp}=\omega r=\omega\cdot 2R\cos\alpha$$
<p>On the other hand,</p>
<p>Then the absolute velocity $\vec{v}$ in Non-inertial reference frame will be equal to the vector sum of $\vec{v}_{rel}$ and $\vec{v}_{cl}$</p>
−$$ \upsilon_{\perp}=\upsilon \cos\alpha $$
+$$ \upsilon_{\perp}=\upsilon\cos\alpha$$
<p>Since the speed of a bead moving in a circle is directed perpendicular to the radius.</p>
<p>Then</p>
−$$ \omega\cdot 2R\cos\alpha=\upsilon \cos\alpha $$
+$$ \omega\cdot 2R\cos\alpha =\upsilon\cos\alpha$$
−$$ \upsilon=2R\omega=\text{const} $$
+$$ \upsilon =2R\omega =\text{const} $$
<p>Since the speed does not change in magnitude, the bead has only normal acceleration</p>
$$ a_n=\frac{\upsilon^2}{R}=\frac{4\omega^2R^2}{R}=4\omega^2R $$
unchanged lines 20