Exam 1 Flashcards
Density formula
ρ = m/V
SI Unit of Density
1 kg/m^3 (also equals 1 g/cm^3)
Density of Air (kg/m^3)
1.20 kg/m^3
Density of Water (kg/m^3)
1.00 * 10^3 kg/m^3
Pressure formula
p = F/A
SI Unit of Pressure
1 Pascal = 1 Pa = 1 N/m^2
Atmospheric Pressure
1 atm = 101.325 kPa
Pressure at Depth Formula
ρ = patm + ρgh
Pascal’s Principle of Hydrostatics
A pressure change occurring anywhere in a confined incompressible fluid is transmitted throughout the fluid such that the same change occurs everywhere.
Gauge Pressure Formula
p-patm = ρgh
Archimedes’s Principle
When a body is completely or partially submerged in a fluid, the fluid exerts an upward force on the body equal to the weight of the fluid displaced by the body.
Continuity Equation Formula
A1v1 = A2v2
Volume Flow Rate Formula
dV/dt = Av
Bernoulli’s Equation
p + ρgy + (1/2)ρv^2 = constant
Frequency Formula
f = 1/T
Angular Frequency Formula
ω = 2πf = (2*π)/T = rad(k/m) = rad(g/L)
Restoring Force of Ideal Springs
Fx = -k*x
Simple Harmonic Motion Displacement Formula
x(t) = Acos(ωt+ϕ)
Simple Harmonic Motion Velocity Formula
v(t) = -ωAsin(ωt+ϕ)
Simple Harmonic Motion Acceleration Formula
a(t) = -ω^2*Acos(ωt+ϕ)
Arc Length Formula
x = L*θ