Important Equations Physics Flashcards
average velocity
v = ∆x/∆t
acceleration
a = ∆v/∆t
linear motion (constant acceleration) - velocity & time
v = v₀ + (a)(t)
linear motion (constant acceleration) - displacement
∆x = v₀t + (1/2)(a)(t²)
linear motion (constant acceleration) - velocity & displacement
v² = v₀² + 2a∆x
friction model equation
f = (µ)(normal force)
Gravitational Force
F = G(m₁m₂)/r²
G is the gravitational constant (6.67E-11 m3 s-2 kg-1)
Newton’s second law equation
F = ma
Weight - Newton’s Laws
F = mg
uniform circular motion - centripetal acceleration
a = V²/r
uniform circular motion - centripetal force
F = (mV²)/r
Work equation
W = (F)(cosθ)(∆x)
Power equation
P = E/∆t . =F*v . (units =kg⋅m^2⋅s^−3)
Kinetic Energy equation
K = (1/2)mv²
Potential Energy equation
U = mgh
Total mechanical energy equation
E = U + K
Work-Kinetic Energy Theorem
W = ∆K
Linear expansion - thermodynamics
∆L = αL∆T
volume expansion - thermodynamics
∆V = βV∆T
Specific Heat - thermodynamics
Q = mc∆T
First law of thermodynamics
∆E = Q + W
Change in internal energy of a system is the sum of heat of the system + the work done on the system
Density
density = mass/volume
(kg/m^3)
Divide by 10^3 for g/cm^3
Specific Gravity or Relative Density
density of substance/density of water (UNITS)
Weight - fluid dynamics
Weight = (density)(g)(volume)
pressure - fluid dynamics
P=F(perpendicular)/A
A=area
units= Pa(pascal)(N/m^2)
continuity equation
A₁v₁ = A₂v₂
v=velocity
Bernoulli’s equation
K(constant)=P(inner walls)+ (1/2)(density)(v²) + (density)(g)(h)
v=velocity
Archimedes’ Principle
B(buoyant force) = (fluid density) x (g) x (volume displaced)
Pascal’s Principle
P1 - P2=ρ(Y2-Y1)g
Poiseuille’s Principle
Q=((πr^4)/(8ηL))(P1-P2)
Q=volume flow rate through a pipe
Volume flow rate
and if you don’t have time
Q=V/t=v(velocity)*A
A=area
If you don’t have t Q=(v/2)πr^2
