Mechanics formulae

• Constant velocity

  v = d / t
• SUVAT EQUATIONS

  (acceleration is constant)

  • v = at + u
  • s = ut + (1/2) at ^2
  • s = vt - (1/2) at ^2
  • s = ((v+u)/2) t
  • 2as = v^2 - u^2
• Acceleration (has to be constant)

  a = ( v - u ) / t
• Newton’s first law

  F = ma
• When the object is in free fall (no air resistance), acceleration is 10 going down, and -10 going up
• W = mg

  (gravity is always 10)
• To get the angle between two force vectors

  angle = tan^-1(Fv/Fh)
• Friction = mu times resistance
• Momentum

  p = mv

  p2 - p1 = m1v- m2v
• Work done = force * distance

  Work done = s * cos(angle) * force
• KE = (1/2)mv^2
• Power = Work/time = force * velocity
• dv / dt = a

  the gradient of a velocity time graph is equal to acceleration
• f(vdt) = s

  the integral of velocity in respect to time is equal to displacement
• ds / dt = v

  the gradient of a distance time graph = velocity
• f(adt) = v

  the integral of acceleration is respect to time is equal to velocity
• GPE = m * g * change in height

  Gravitation potential energy is equal to mass times gravity times change in height
• The work energy principle

  Change in potential energy + change in kinetic energy = Work done of forces
• Maximum power = maximum speed * driving force
• √3/2 = cos30 and sin60
• √2 / 2 = cos45 and sin45
• 1/2 = cos60 and sin 30
• 1/√3 = tan30
• 1 = tan45
• √3 = tan60