Updated greek laters @ latex compiling

astrosander edited
revision #9899 parent #8922 GitHub dbb31ba ← older newer →
@@ -60,12 +60,12 @@
$O_1$ is the initial position of the airplane. $O_2$ is the final position of the airplane. In time $t$ the airplane will fly the distance:
$$S = v_0 \cdot t$$
We find the distance $S$ from the isosceles triangle $AO_1O_2$, where the angle $O_1AO_2 = 2^{\circ}$. Then
− $$S = 2R \cdot sin1^{\circ}$$
+ $$S = 2R \cdot\sin 1^{\circ}$$
Where $R_1=R_2=R$
− $$v_0 \cdot t = 2R \cdot sin1^{\circ}$$
+ $$v_0 \cdot t = 2R \cdot\sin 1^{\circ}$$
Desired speed
− $$v_0 = \frac{2R \cdot sin1^{\circ}}{t}$$
− At small angle $sin\alpha \approx \alpha$ expressed in radians, i.e. $1^{\circ} = \frac{\pi}{180}$
+ $$v_0 = \frac{2R \cdot\sin 1^{\circ}}{t}$$
+ At small angle $\sin\alpha \approx \alpha$ expressed in radians, i.e. $1^{\circ} = \frac{\pi}{180}$
$$\boxed{v_0 = \frac{2 \cdot 10^5 \cdot \pi}{5 \cdot 180} = 698\;m/s.}$$
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