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10 results for “coordinate”

Formulae (10)

x = -\frac{b}{2a}

x-coordinate of the vertex of a quadratic.

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}

Euclidean distance in the plane.

M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

Midpoint of a line segment.

m = \frac{y_2 - y_1}{x_2 - x_1}

Steepness of a straight line.

n = \dfrac{1}{\cos\phi}

The g-load in a level, coordinated turn depends only on the bank angle.

r = \dfrac{v^2}{g\tan\phi}

Radius of a level coordinated turn from speed and bank angle.

\omega = \dfrac{g\tan\phi}{v}

Angular rate of a coordinated turn (radians/s; a standard rate turn is 3°/s).

r = \frac{v^2}{g\tan\phi}

Radius of a coordinated banked turn.

t_{local} = t_{UTC} + \Delta

Convert Coordinated Universal Time to a local zone.

1^\circ \text{lat} \approx 111\ \text{km}

Approximate ground distance per degree of latitude.