Biomechanics Equations

DISPLACEMENT = FINAL POSITION – INITIAL POSITION

DISPLACEMENT = FINAL POSITION – INITIAL POSITION Measured in degrees 1 rev = 360 2pi radian = 1 rev

VELOCITY = CHANGE IN DISPLACEMENT ÷ TIME

ANGULAR VELOCITY = ANGULAR DISPLACEMENT / TIME ω = Δθ / t

ACCELERATION (m/s2) = CHANGE IN VELOCITY ÷ TIME TAKEN

ANGULAR ACCELERATION = CHANGE IN ANGULAR VELOCITY / TIME α = Δω / t

WEIGHT = MASS X ACCELERATION DUE TO GRAVITY (9.81)

Force = Mass * Acceleration Newtons law of acceleration

MOMENT = FORCE X PERPENDICULAR DISTANCE The distance away from the point

MOMENTUM = MASS X VELCOCITY

I = moment of inertia (kg m2 ) m = mass (kg) r = radius from axis of rotation (m)

IMPULSE (Ns) = FORCE (N) x TIME (S)

H = Angular Momentum (kg m2 /s) I = Moment of inertia (kg m2 ) ω = Angular Velocity (rad/s)

𝒂𝒑𝒆𝒓𝒕𝒖𝒓𝒆 = 𝑓𝑜𝑐𝑎𝑙 𝑙𝑒𝑛𝑔𝑡ℎ / 𝑑𝑖𝑎𝑚𝑒𝑡𝑒𝑟 𝑜𝑓 ℎ𝑜𝑙e

RATE OF FORCE DEVELOPMENT = CHANGE IN FORCE ÷ TIME

v = u + at v 2 = u2 + 2as S: displacement DISPLACEMENT = FINAL POSITION – INITIAL U: initial velocity V: final velocity A: acceleration Force/mass T: change in time

s = ut + ½at2 s = ½(u + v)t S: displacement DISPLACEMENT = FINAL POSITION – INITIAL U: initial velocity V: final velocity A: acceleration Force/mass T: change in time

μ = F/N F is the frictional force and N is the normal force.

FDRAG = 0.5 p vª CDRAG p = density of the fluid CD = drag coefficient v = relative velocity A = surface