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Calories to Joules
Calories × 4.184 = Joules
Red meat contains 2800 calories
per kilogram, or approximately 11,715 joules.
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Cones
Volume: V = (⅓)(π)r²h = 1.05r²h
Surface Area: T = (π)rl +
(π)r²
l is the slant height
(hypotenuse) of the cone.
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Cylinders
Volume: V = (π)r²h
Surface Area: T = 2(π)rh + 2(π)r²
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Hexagons
A hexagon can be divided into six equilateral
triangles. The result is that the length of one side of a hexagon is
equal to ½ the width of the hexagon.
The approximate area of a
regular hexagon is 0.866 times the square of its width. A = 0.866W².
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Spheres
Volume: V = (4/3)(π)r³ = 4.19r³
Surface Area: A = 4(π)r² =
12.57r²
Radius: R =
(V/4.19)^(⅓)
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Spin Gravity
Apparent gravity, in m/s², is 4π²r/t², where r
is radius in meters and t is period of rotation in seconds. Yes,
that's pi squared in the numerator.
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Travel Under
Constant Acceleration
T=2(SQRT(D/A))
D=AT²/4
A=4D/T²
The three travel formulas assume constant
acceleration to midpoint, turnaround, and constant deceleration to
arrive at the destination at rest. There are three variables; if any
two are known, the third can be determined using one of the formulae
above. The variables are time (T) in seconds, distance (D) in
meters, and acceleration (A) in meters/second². Other units must be
converted to these three before using the formulae.
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