Physics And Maths Formulae Flashcards
Equation relating change in displacement with acceleration, time and original velocity?
Δx = 1/2 at^2 + Vot
Equation relating final velocity, original velocity, acceleration and time?
Vf =Vo +at
Equation relating total displacement with acceleration, time, original velocity and original displacement?
xf =1/2 at^2 + Vot + xo
Equation relating final velocity with acceleration, distance and original velocity?
Vf^2 = Vo^2 + 2ad
Equation relating displacement with time, original and final velocities?
x = (Vo+Vf)/2 x t
Sin0°?
Sin0° = 0
Sin60°?
Sin60° = √3/2
Cos0°?
Cos0° = 1
Cos60°?
Cos60° = ½
Tan0°?
Tan0° = 0
Tan60°?
Tan60° = √3
Equation for centripetal force?
ac = v^2/r
Force of gravity / Newton’s equation?
Fg = Kg m1m2/r^2
Given projectile velocity and angle, what is the equation for the original vertical component of velocity?
Voy = Vo sinθ
Vertical displacement given vertical velocity, time and acceleration of gravity?
y = Voyt + 1/2gt^2
Vertical component of velocity, given original vertical velocity, acceleration of gravity and time elapsed?
Vy =Voy +gt
Given projectile angle and magnitude, what is the horizontal component velocity?
Vox = VoCosθ
Given horizontal velocity and time, what is the horizontal component of displacement?
X = Voxt
Given the original horizontal velocity, what is the horizontal velocity?
Vx = Vox
Given the horizontal and vertical components of velocity in a projectile motion problem, what is the formula for the resolved projectile velocity?
Vo = √(Vox^2 + Voy^2)
Given x and y components of velocity, what formula gives the angle of projectile?
Tanθ = Vox/Voy
Formula for tension in a string?
T = 2 x g x m1m2 / m1+m2
Maximum friction formula?
f = μN
Acceleration in a pulley system problem?
a=F/m
Conservation of momentum in elastic collision?
m1v1 + m2v2 = m1v’ + m2v’’
Conservation of momentum in an inelastic collision?
m1v1 +m2v2 =v’(m1 +m2 )
Formula for momentum?
p = mv
Formula for impulse?
J = Δmv
Formula for kinetic energy?
Ek = 1/2mv^2
Formula for gravitational potential energy?
PE = mgh
Formula for torque force?
L=Fxr
Rotational equilibrium?
ΣCW = ΣCCW
Formula for work?
W=Fxd
How do you calculate the work done on an object by a force which isn’t in the precise direction of the movement?
W = F x d x Cosθ
What is the work energy theorem, what does it mean and when is it used?
W=ΔEk + ΔEp
It means that the work done by a resultant force on a particle is equal to the change in kinetic energy of that particle. It is used when work is done on a system therefore conservation of energy doesn’t apply.
How is the force in a spring calculated?
Fs = -Kx
Total mechanical energy in a system?
Etotal = Ek + Ep
Given the spring constant and displacement, how is the total work done on a spring calculated?
W = ½ Kx^2
What is the formula for Power?
P = ΔW/Δt (rate of doing work)
Given the density of a substance, how is specific gravity calculated?
SG = ρs/ρw
What is pressure?
P=F/A
How does pressure vary with depth?
ΔP = ρgΔh
What is the continuity equation? What is it used for?
ρvA = constant, ρv1A1 + ρv2A2
It shows that the flow is constant throughout a pipe