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v^2 = u^2 + 2 a s
Kinematics Find Final Velocity Squared
s = u t + 1/2 a t^2
Kinematics Find Displacement using Acceleration
v = u + a t
Kinematics Find Final Velocity using time
s = 1/2 ( u + v ) t
Kinematics Find Displacement using time without acceleration
f = m a
Find Force
p = m v
Find Momentum(p)
I = f t
Find Impulse
Ek = 1/2 m v^2
Find Kinetic Energy
Ep = m g h
Find Potential Energy
v = sqrt ( 2 g h )
Final Velocity of falling object using sqrt
w = f d
Find mechanical Work
V = I R
Find Voltage using current and resistance
P = I^2 R
Find Power using current
P = w / t
Find Power using work and time
760
1 Atm = _____torr
P = F / A
Find Pressure
Stress = F / A
Find Stress
Strain = e / L
Find Strain
100000
1 Atm = _____Pa
v = sqrt ( 2 g h )
Velocity of water leaving bucket through hole (use sprt)
Decreases
In a pipe, as velocity increases pressure at that point __________
Q = A V
Find Fluid flow rate Q
A = pi r^2
Area of a pipe / circle (Area=A use pi as pie)
F = m a
Newton's 2nd Law (equation using F)
F = G ( m1 m2 ) / r^2
Force Due to Gravity
F = m g sinx
Inclined Plane: Force Down Plane
F = m g cosx
Inclined Plane: Normal Force
a = v^2 / r
Centripetal Acceleration
F = m v^2 / r
Centripetal Force
F = -k x
Hooke's Law: Force
PE = ( 1 / 2 ) k x^2
Hooke's Law: Elastic PE
T = 2 pi sqrt ( m / k )
Period (spring)
T = 2 pi sqrt ( L / g )
Period (pendulum)
t = F r sinx
Torque (where theta=x)
W = F d cosx
Work (where F=Force, theta=x)
W = KE + PE + E (internal)
Work (where KE=kinetic energy, PE= potential energy)
W = #E - q
Work: Energy + Heat (where q is heat, E is total energy, # is Delta)
KE1 + PE1 = KE2 + PE2
Conservation of Energy (KE PE)
I = m #v
Impulse (using mass and #=delta)
E = m c^2
Rest Mass Energy (where m=mass created/destroyed)
p = m / V
Find Density (p = rho)
SG = p(substance) / p(water)
Specific Gravity (equation where p = density of substance and water)
1000
Find Specific Gravity of water where 1 g/cm^3 = ? Kg / m^3)
P = p g y
Pressure (At rest in sealed container where y=depth of fluid from top & p = rho)
P = Patm + p g y
Pressure (At rest in open container where Patm = 101kPa (if in meters and kg), p=density, y=dist from top of fluid)
Pabs = Patm + Pgauge
Pressure (absolute)
F1 / A1 = F2 / A2
Hydrolic Lift Equations (with area)
F1 d1 = F2 d2
Hydrolic Lift Equations (with distance)
B = #P / ( #V / Vo )
Bulk Modulus (where p=pressure, Vo=initial volume, #=delta)
L = 2 pi r
Circumference Circle (length = L pie=pi)
sinx = o / h
Find Sine of x in triangle
cosx = a / h
Find Cosine of x in triangle
tanx = o / a
Find Tangent of x in triangle
0, 1, 2, 3, 4
Cosine 90, 60, 45, 30, 0 (all start with 1/2 sqrt (…) etc)
4, 3, 2, 1, 0
Sine 90, 60, 45 ,30, 0 (all start with 1/2 sqrt (…) etc
Surface area, Shape, Velocity
Air resistance of an object depends on S… S… V….
Sinx u = sqrt ( 2 g h )
Equation for peak height of object sinx (where initial velocity=u)