This is a draft cheat sheet. It is a work in progress and is not finished yet.
SI units
Mass |
kg |
Distance |
m |
Time |
s |
Force |
N |
Prefixes
Kilo |
10^3 |
Hecto |
10^2 |
Deka |
10^1 |
Deci |
10^-1 |
Centi |
10^-2 |
Milli |
10^-3 |
Nano |
10^-9 |
Vector Operations
Dot Product |
a dot b = sum of vector components multiplied |
Cross Products |
Determinant of (i j k, x y z, x y z) |
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1d motion
v_avg = delta x/ delta t |
v = dx/dt |
displacement is scalar, distance is vector |
5 function
d = v * t |
v = a * t + v_0 |
x = 1/2 a * t2 + v_0 * t + x_0 |
v2 - v_02 = 2 * a * d |
x = (v+v_0 )t/2 |
Rotational Acceleration
a_c = v2/r |
T = period |
v = 2pir/T |
Newtons Laws
1. If sum forces = 0, no acceleration. At rest stays at rest, motion stays at same speed |
2. net force = mass * acceleration |
3. if object A pushes on B, (F_ab) then object b exerts equal force on object A (F_ba) |
Force
Force is a vector |
Net force = sum of all forces |
Normal force is from surface on object, perpendicular |
friction is from surface on object, parallel to surface |
Tension from pulling force |
Weight pull of gravity (mg) |
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