Physics

ve = √(2GM/r).

v = √(GM/r).

Kepler's third law.

rs = 2GM/c².

v = H₀·d.

L = 4π·R²·σ·T⁴.

Distance from parallax angle (parsecs).

z = (λobs − λemit)/λemit.

T² ∝ a³ (SI).

m = M + 5·log10(d/10).

μ = m − M.

N = N₀·(1/2)^(t/T).

N = N₀·e^(−λt).

Δm = Z·mp + N·mn − M.

E = Δm·c² (MeV).

Hydrogen spectral lines.

Energy level En = −13.6/n² eV.

A = λ·N.

Calculate force using Newton's second law (F = ma).

Calculate acceleration given force and mass.

Calculate force using F = m·a.

Calculate centripetal force in circular motion.

Calculate gravitational force between two masses.

Tension in a rope holding hanging mass.

Normal force on inclined surface.

Find the ideal banking angle for a turn.

Estimate average crash force from speed and stopping distance.

Calculate force from mass and acceleration.

Calculate spring force using Hooke's law.

Convert mass in kilograms to weight in newtons.

Return the equal and opposite reaction force.

Calculate the resultant of two forces at an angle.

Estimate stopping distance from speed and friction.

J = F·Δt.

Final v of m2 in 1D elastic.

Combined velocity after perfectly inelastic collision.

F = m·a.

τ = I·α.

fs = μs·N.

fk = μk·N.

F = ½·ρ·v²·Cd·A.

F = k·x.

g = a/9.81.

d = v²/(2μg).

F = m(g+a).

F = ṁ·ve.

Isp = ve/g₀.

Electric field of a point charge.

Electric potential of a point charge.

P = V·I.

Two resistors in parallel.

Two resistors in series.

EMF = -L·(dI/dt).

F = qvB·sin(θ).

Unknown resistor in balanced bridge.

Vout = Vin·R2/(R1+R2).

τ = R·C.

τ = L/R.

f = 1/(2π·√(LC)).

E = ½·L·I².

E = ½·C·V².

Ceq = C1 + C2.

1/Ceq = 1/C1 + 1/C2.

L = μ₀·N²·A/ℓ.

Vs = Vp·Ns/Np.

W = V·A.

A = W/V.

V = W/A.

P = I²·R.

R = ρ·L/A.

Runtime = Ah/A.

Q = I·t.

W = 10^(dBm/10)/1000.

dBm = 10·log10(W·1000).

Vrms = Vp/√2.

Vp = Vrms·√2.

S = V·I/1000.

PF = P/S.

P = √3·V·I·PF.

τ = P/ω.

Vd = I·R.

δ = √(2/(ωμσ)).

V = I·R.

P = V·I.

C = Q/V.

Equivalent parallel resistance for two resistors.

Equivalent series resistance.

Force between two charges.

Calculate voltage, current, or resistance using Ohm's Law.

Calculate electrical power (P = VI).

Calculate the voltage drop in an electrical circuit based on wire length, current, and material.

Calculate kinetic energy KE = ½mv².

Gravitational potential energy PE = mgh.

Spring PE = ½kx².

Work done W = F·d·cos(θ).

Power P = W/t.

U = −G·m1·m2/r.

ME = KE + PE.

1 hp = 745.7 W.

E = P·t (kWh).

1 cal = 4.184 J.

P = irradiance·area·efficiency.

P = ½·ρ·A·v³·Cp.

P = η·ρ·g·Q·h.

h = (Wh)/(W).

kcal = W·t·0.86/1000.

Calculate muzzle energy from bullet mass and velocity.

Calculate effective isotropic radiated power.

Calculate foot-pounds of energy from projectile data.

Estimate kinetic energy at impact.

Calculate power per unit mass.

Estimate firearm recoil energy.

Calculate SNR in decibels.

Convert energy to equivalent mass of TNT.

Convert watts to horsepower and BTU per hour.

Calculate work and power from force, distance, and time.

Volumetric flow rate Q = A·v.

Laminar flow rate through a pipe.

μ = τ/(du/dy).

ρ = m/V.

SG = ρ/ρ_water.

v = Q/A.

γ = F/L.

P = ρgh.

v = Q/(π·r²).

vt for sphere in fluid.

Buoyant force Fb = ρ·V·g.

P = F/A.

P = ρ·g·h.

Compute dynamic pressure ½ρv².

Re = ρvD/μ.

Calculate the density of a substance based on its mass and volume (ρ = m/V).

Calculate pressure exerted by a force over an area (P = F/A).

Calculate the buoyant force on an object submerged in a fluid using Archimedes' principle.

Estimate the speed of an arrow based on bow and arrow properties.

Calculate the ballistic coefficient of a projectile.

Calculate the distance a car will jump given its speed and ramp angle.

Apply the law of conservation of momentum to collisions.

Calculate the displacement of an object.

Calculate velocity and distance of an object in free fall.

Calculate free fall velocity accounting for air resistance.

Calculate the force of friction between two surfaces.

Calculate an aircraft's ground speed given its airspeed and wind.

Analyze motion of a projectile launched horizontally.

Calculate impulse and change in momentum.

Calculate forces on an object on an inclined plane.

Calculate the magnitude of total acceleration.

Calculate the maximum height reached by a projectile.

Calculate Minute of Angle (MOA) for long-range shooting.

Calculate the linear momentum of an object.

Calculate bullet velocity at the muzzle.

Calculate the polar moment of inertia for a circular section.

Solve for variables in projectile motion.

Calculate the range of a projectile.

Estimate 1/4 mile time based on horsepower and weight.

Calculate the combined velocity vector.

Calculate the rolling resistance force.

Calculate the speed of a sled going down a hill.

Solve constant acceleration motion (SUVAT) equations.

Calculate the terminal velocity of a falling object.

Calculate how long a projectile stays in the air.

Calculate points along a projectile's trajectory.

Calculate velocity given displacement and time.

v = Δx/Δt.

a = Δv/Δt.

R = v²·sin(2θ)/g.

h = v²·sin²θ/(2g).

T = 2v·sinθ/g.

v₀ = v − at.

v = v₀ + at.

Speed = distance/time.

t = d/v.

vrel = v1 − v2.

v = v₀ + at.

Range from height: x = v·√(2h/g).

v = ω·r.

g = G·M/r².

d = h/sinθ.

y at distance x.

θ = 1.22·λ/D.

a = ω²·r.

Calculate projectile flight.

Calculate KE.

Calculate GPE.

Calculate centripetal force.

Calculate torque.

Calculate momentum.

Radioactive decay.

M = −di/do.

θc = asin(n2/n1).

1/f = 1/do + 1/di.

1/f = (n−1)(1/R1 − 1/R2).

θB = atan(n2/n1).

d·sinθ = m·λ → θ.

n = c/v.

M = Mo·Me.

M = fo/fe.

N = f/D.

θ = 1.22·λ/D.

Refraction angle from Snell's law.

1/f = 1/do + 1/di.

λ = h/(m·v).

E = h·f.

Δp from Δx ≥ ħ/2.

Δλ = (h/mc)(1−cosθ).

E = h·c/λ.

E = qV (in eV).

Photon energy from frequency.

f = c/λ.

k = 2π/λ.

v = f·λ.

v = c/n.

Δt' = Δt/√(1−v²/c²).

L = L₀·√(1−v²/c²).

KE = (γ−1)mc².

E = mc².

Calculate angular acceleration from angular velocity change.

Calculate angular displacement with constant acceleration.

Convert frequency to angular frequency.

Calculate angular momentum from moment of inertia and angular velocity.

Calculate angular velocity from angle and time.

Calculate apparent centrifugal force in rotating systems.

Calculate relative centrifugal force for a centrifuge.

Compute centripetal acceleration for circular motion.

Period of a conical pendulum.

Period of a simple pendulum.

Frequency of a simple pendulum.

Compute KE = ½·I·ω².

Torsional stiffness k = T/θ.

Position in simple harmonic motion.

Torque τ = F·r·sin(θ).

ω = RPM·2π/60.

Ratio = T2/T1.

E = ½·I·ω².

T = 2π·√(m/k).

α = τ/I.

T = 2π/ω.

E = −G·M·m/(2a).

θ = ω·t.

f = N/t.

Ωp = τ/(I·ω).

Estimate center of mass position from axle loads.

Calculate pressure in pounds per square inch.

Calculate reduced mass for a two-body system.

Compare your weight on Earth with other planets.

Max efficiency of a heat engine.

P = εσAT⁴.

η = W/Qh.

COP = Qc/W.

ΔS = Q/T.

K = °C + 273.15.

°F = °C·9/5+32.

Q = m·L.

Q/t = k·A·ΔT/L.

°C = K − 273.15.

°C = (°F−32)·5/9.

λmax = b/T.

°R = °F + 459.67.

Q/t = m·c·ΔT/t.

PV = nRT.

Q = m·c·ΔT.

ΔL = α·L₀·ΔT.

Calculate the energy required to change the temperature of a substance (Q = mcΔT).

Calculate the properties of an ideal gas using PV = nRT.

Displacement y = A·sin(kx − ωt).

Decibels from intensity ratio.

v = f·λ.

f = 1/T.

fb = |f1−f2|.

v = √(T/μ).

v ≈ 331.3·√(1+T/273.15).

f = c/λ.

fn = n·v/(2L).

fn = n·v/(2L).

fn = n·v/(4L), n odd.

λ = v/f.

f = v/λ.

v = f·λ.

Observed frequency for moving source.

Calculate wavelength.

Observed frequency.