Formulae Flashcards
(25 cards)
3 main SUVAT equations
s = ut + 1/2at^2
v = u + at
v^2 = u^2 + 2as
To calculate apex (peak vertical height)
X = (u0v0) / g
To calculate horizontal range (when vertical displacement is 0 and starting/landing heights are the same)
R = (2u0v0) / g
What is Newton’s 1st law and what part of biomechanics does it relate to?
Every body continues in its state of rest or uniform motion unless compelled to change that state by external forces exerted upon it.
Links to law of inertia.
What is Newton’s 2nd law (formula)?
F = ma
What is Newton’s 3rd law and what part of biomechanics does it relate to?
For every force that is exerted by one body on another, there is an equal and opposite force exerted by the second body on the first.
Links to principle of conservation of momentum.
How to convert a force into body weights
BW = force / mg
Impulse
I = Ft
I = m(v - u)
Conservation of momentum
m1u1 + m2u2 = m1v1 + m2v2
Newton’s experimental law
velocity of separation = e * velocity of approach
(v2 - v1) = e (u1 - u2)
e = 1 when no energy is lost
e = 0 when all energy is lost during impact
Potential energy
mgh
Kinetic energy
1/2mv^2
Mechanical energy
PE + KE
mgh + 1/2mv^2
Conservation of energy
PE lost = KE gained
mgh = 1/2mv^2 - 1/2mu^2
Work done
Change in kinetic energy
When no energy is lost within a system
PE + KE (before) = PE + KE (after)
mgh + 1/2mv^2 = mgh + 1/2mv^2
Kinetic energy lost (%)
KE(before) = 1/2mu1^2 + 1/2mu2^2
KE(after) = 1/2mv1^2 + 1/2mv2^2
[KE(b) - KE(a) / KE(b)] * 100
Conversion between revs, radians, and degrees
1 rev = 2pi rad = 360
Equation which combines the length of an arc, radius, and angle, using radians
s = r(theta)
Tangential velocity
v = r(omega)
Radial acceleration towards centre
v^2 / r
r(omega^2)
F = ma, involving circular acceleration
F = m(v^2 / r)
To calculate the degree to which a bank is angled
tan(theta) = v^2 / rg
What equals 0 when a body is weightless at the top of a loop?
Resultant force
