Hyper Physics http://hyperphysics.phy-astr.gsu.edu/hbase/index.html#mechcon
Vectors - a line with direction and magnitude (a value of force, velocity, etc)
Mass (M) - The quantity of matter (stuff) that holds something together
Measured in grams (g) for metric
Measured in pounds (lb)
Distance (d) - The measure of space traversed.
For linearly moving bodies this is measured in:
Meters (m) for metric
Inches (in) and feet (ft)
For rotating bodies this is measured by angles in:
Degrees (0 - 360) (°)
Radians (0 - 2π) (r/rads)
Rotations/revolutions (a movement of a full 360 degrees or 2π)
Time (t) - A measurable period
Measured in seconds (s)
Measured in minutes (m)
Velocity (v) - The amount of distance traveled over a period of time (this is the vector value for how fast a body moves, so it has direction)
Defined as: V = d / t - velocity equals distance over time
For linearly moving bodies:
Measured in meters per second (m/s)
Measured in feet per second (ft/s)
Measured in feet per minute (ft/m)
For rotating bodies:
Measured in rotations per minute (RPM)
Measured in radians per second (rads/s)
Acceleration (a) - The change in velocity over a period of time
Defined as: A = v / t
For linearly moving bodies:
Measured in meters per second squared (m/s^2)
Measured in feet per second squared (ft/s^2)
For rotating bodies:
Measured in radians per second squared (rads/s^2)
Force (F) - An influence that causes a body to accelerate. Can be a push or a pull. Has direction and magnitude.
Defined as: F = m * a
Measured in newtons (n)
Measured in pound-force (lbf)
Energy - The capacity for work to be done. Measured in joules. Cannot be created or destroyed.
Work - The amount of force exhibited over a distance. The amount of transferred kinetic energy. Typically used for forces that induce translational/linear movement
Defined as Work = F * d
Measured in newton-meters (nm)
Measured in joules (j)
Measured in foot-pounds (ft*lbf)
Moment - Same as work but in reference for forces that have the tendency to induce rotation
Same units as work
BUT defined as the perpendicular distance from a center axis of rotation to a downward force
Torque - A moment that measures the force of a rotating body
Same as moment in simple terms
Power (P) - The amount of work that can be done over time
Defined as P = Work / time
Measured in watts (w - equals j/t)
Measured in foot-pounds per second ((ft * lbf)/s)
Measured in horsepower (hp - equals ((ft * lbf)/s) / 550 ((ft*lbf)/s)
For rotating bodies this is Torque * RPM
Note on weight*
Weight is the force resulting from an object's mass times the acceleration due to gravity (9.81m/s^2). On Earth mass and weight are interchangeable for most of the math we'll be doing.
Technically measured in newtons and pounds-force