Physics Equations for Final

Period of a Mass-Spring System

T = 2π√(m/k)

Angular Frequency

ω = 2π/T

Simple Harmonic Motion Values

v_max= ωA

a_max= ω²A

a_max= ωV

Basic Wave Speed

ν=λf

Angular Quantities

ω=2πf

k=2πλ/k

v=ω/k

Standard Wave

y(x,t)=Asin(kx−ωt)

Waves on a String

v=√T/μ​​

Open Pipe Harmonics

f_n= n(v/2L)

Closed Pipe Harmonics

f_n= n(v/4L)

(n = odd #’s)

Density

p=m/v

Pressure

P=P₀+pgh

Buoyant Forces

F_B= pVg

Bernoulli’s Equation

P+1/2​pv²+pgh

Torricelli’s Equation

v=√2gh​

Continuity (Fluids)

A₁V₁= A₂V₂

Area of a Circular Pipe’s Cross Section

A=πd²/4

Sum of Identical Forces

F_total= NW