Formulas - Biomechanics
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Power =
Power = (Force x Distance) / Change in Time Watts or Joules per second
Momentum
Mass x Velocity
Angular Momentum (P)
Moment of Inertia (I) x Angular Velocity (W)
Torque
Torque - Moment Arm Length x Force Torque - sounds like To work and @ work think of the coffee machine and the levers for the coffee press.
Torque if force acts at an angle
Force x Lsin0 sin as T and S are near each other in the alphabet
Linear Inertia
Equivalent to mass of the body
Angular Inertia
𝐼=𝑚𝑟^2 (Kg.m2) Mass x radius of rotation sqaured
Momentum (in relationship to Torque and Time
Momentum = Torque x time
Force (N)
Force (N) = Mass x Acceleration
Acceleration (a)
Change in Velcoity / Change in Time How quickly the velocity changes
Acceleration under Gravity
9.81
Linear displacement =
Linear displacement = Angular displacement {0} x radius of rotation (r)
Work
Work = Force (F) x Distance (s)
Work Where force is applied at an angle
Work (W) = F x Cos{0} S force x Cos{0} x displacement
Linear Velocity
Linear Velocity = Angular velocity x radius of rotation
Linear acceleration
Linear Acceleration Angular acceleration x radius of rotation
Kinetic energy
Kinetic Energy (KE) = 0.5 x m x v^2 measured in Joules as its ENERGY
Potential Energy (PE)
Potential Energy (PE) = mass x gravity x height measured in Joules as its ENERGY
Elastic Strain Energy
0.5 x k x change in x^2 k = spring/ stiffness constant represents the ability to store energy on deformation x distance over which the material is deformed
What is the relationship between Torque, Inertia and Acceleration and which of Newton’s law is it derived from?
Torque = Inertia x Angular acceleration It is derived from newton’s second law - Law of angular acceleration.