Physics I - Exam Equations for Final

Flashcards for Exam 1, 2, 3, 4 (going to be on final) Equations

What is the formula for Force?

F = ma

What is the formula for Friction?

f = μN

What is the formula for Gravitational Force?

Fg = mg

What is the formula for Spring Force?

Fsp = -kx

What is Newton's Law of Universal Gravitation?

Fg = G(m1m2/r^2)

What is the value of gravity (g)?

9.81 m/s^2

What is the formula for Average Velocity?

v = Δx/Δt

What is the formula for Acceleration?

a = Δv/Δt

What is the formula for final Velocity (vf)?

vf = vo + at

What is the formula for distance (d)?

d = vot + 1/2 at^2

What is the formula for final velocity without time?

vf^2 = vo^2 + 2ad

What is the formula for distance with time and velocities?

d = (t/2)(vo + vf)

What is the Quadratic Formula?

x = (-b ± √(b^2 - 4ac)) / 2a

What is the formula for the circumference of a circle?

circumference = 2πr

What is the formula for the area of a circle?

Area = πr^2

What is the formula for Linear Velocity?

v_linear = ωr

What is the formula for Centripetal Acceleration?

a = v^2/r

What is the formula for Work?

W = Fdcos(Θ)

What is the formula for Kinetic Energy?

KE = 1/2 mv^2

What is the formula for Potential Energy of a Spring?

PEspring = 1/2 kx^2

What is the formula for Potential Energy due to Gravity?

PEgravity = mgh

What is the formula for Power?

P = E/t

What is the formula for Net Work?

Wnet = ΔKE

What is the formula for Change in energy?

ΔE = ΔKE + ΔPE = Wnet non-conservative

What is the formula for Total Mechanical Energy?

ΣE = KE + PE

What is the formula for momentum?

p = mv

What is the formula for Impulse (J)?

Δp = FΔt = J

What is the formula for Torque?

τ = rFsinθ

What is the formula for Angular Velocity?

ω = (Δθ/Δt)

What is the formula for Angular Acceleration?

α = (Δω/Δt)

What is an Angular Kinematic Equation?

ωf = ωo + αt

What is an Angular Kinematic Equation?

θ = ωot + 1/2 αt^2

What is an Angular Kinematic Equation?

ωf2 = ωo2 + 2αθ

What is Newton's 2nd Law for Rotation?

τ = Iα

What is Angular Momentum?

L = Iω

What is the formula for Pressure?

P = F/A

What is the formula for Pressure at a depth?

P = Po + ρgh

What is the formula for Buoyant Force?

Fbuoyant = ρfluid * g * V_displaced

What is the formula for Volume Flow Rate?

A1V1 = A2V2

What is Bernoulli's Principle?

P1 + 1/2 ρV1^2 + ρgh1 = P2 + 1/2 ρV2^2 + ρgh2

What is Poiseuille's Equation?

Q = (πr^4ΔP) / (8ηL)

How do you convert Celsius to Kelvin?

Tk = Tc + 273.15

How do you convert Celsius to Fahrenheit?

Tf = (9/5)Tc + 32

What is the formula for Heat Transfer (Q)?

Q = mcΔT

What is the formula for Latent Heat?

Q = mL

What is the formula for Linear Expansion?

ΔL = αLoΔT

What is the formula for Power of Radiation?

P_radiation = εσAT^4

What is the formula for Work done by a gas?

W = -PΔV

What is the Ideal Gas Law?

PV = nRT

What is the First Law of Thermodynamics?

ΔU = Q + W

Formula for Spring Force?

Fs = -kx

Formula for Potential Energy of a Spring?

PEspring = 1/2kx^2

What is the formula for Velocity in a Spring System?

v = sqrt((k/m)(A^2 - x^2))

What is the relationship between Frequency and Period?

f = 1/T

Formula for Period of a Spring?

T = 2πsqrt(m/k)

Formula for Period of a Pendulum?

T = 2π

What is the Wave Speed?

v = fλ

What is the Wave Speed on a String?

v = sqrt(Tension/(m/L))

What is the Wave Speed in a Fluid?

v = sqrt(B/ρ)

What is the formula for frequency open at both ends or closed at both ends?

f_n = nv/(2L)

What is the formula for frequency open at one end?

f_n = nv/(4L)

What is the formula for Intensity in Decibels?

Intensity = 10log10(I/I0)

What is the Doppler Effect Formula?

fobserver = fsource(vsound/(vsound ± v_source))