🚀 Speed / Velocity
v = s / t | v = Δx / Δt
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📈 Acceleration
a = (v − u) / t
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💪 Force (Newton’s Second Law)
F = m · a
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⚖️ Weight
W = m · g
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🎯 Momentum
p = m · v
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💥 Impulse
J = F · Δt = Δp
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🔧 Work
W = F · s · cosθ
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⚡ Power
P = W / t | P = F · v
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🏃 Kinetic Energy
Ek = ½ m v²
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🏔️ Potential Energy
Ep = m g h
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🛑 Friction Force
f = μ · N
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🔄 Torque
τ = F · r · sinθ
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🌀 Centripetal Force
Fc = m v² / r
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🏹 Projectile Motion
R = v₀² sin(2θ) / g | H = v₀² sin²θ / (2g)
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🪂 Free Fall
v = g t | h = ½ g t²
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🌀 Hooke’s Law
F = −k · x
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🔄 Angular Velocity
ω = θ / t | ω = 2πf
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💧 Density
ρ = m / V
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📊 Pressure
P = F / A
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🌊 Hydrostatic Pressure
P = ρ g h
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🫧 Buoyant Force (Archimedes)
Fb = ρ · V · g
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🚰 Flow Rate
Q = A · v
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🔄 Continuity Equation
A₁ v₁ = A₂ v₂
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💨 Bernoulli Equation
P + ½ρv² + ρgh = constant
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🔢 Reynolds Number
Re = ρ v D / μ
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🌡️ Temperature Conversion
°C ↔ °F ↔ K
Enter a value in any field
🔥 Heat
Q = m · c · ΔT
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📏 Heat Capacity
C = m · c
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📐 Linear Thermal Expansion
ΔL = α · L₀ · ΔT
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🧊 Latent Heat
Q = m · L
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🎈 Ideal Gas Law
PV = nRT
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📉 Boyle’s Law
P₁V₁ = P₂V₂
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📈 Charles’ Law
V₁ / T₁ = V₂ / T₂
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📊 Gay-Lussac’s Law
P₁ / T₁ = P₂ / T₂
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🔄 Combined Gas Law
P₁V₁ / T₁ = P₂V₂ / T₂
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⚙️ Efficiency
η = (W / Q_in) × 100%
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⚡ Ohm’s Law
V = I · R
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🔌 Electrical Power
P = V · I = I²R = V²/R
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🔋 Electrical Energy
E = P · t
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🔗 Series Resistance
R_total = R₁ + R₂ + …
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🔀 Parallel Resistance
1/R = 1/R₁ + 1/R₂ + …
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⚡ Charge
Q = I · t
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🧲 Coulomb’s Law
F = k · |q₁ q₂| / r²
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⚡ Electric Field
E = k · |q| / r²
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🔋 Electric Potential
V = k · q / r
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🔋 Capacitance
C = Q / V
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⚡ Capacitor Energy
U = ½ C V²
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🧲 Lorentz Force
F = q v B sinθ
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🧲 Force on a Current-Carrying Wire
F = I L B sinθ
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📡 Magnetic Flux
Φ = B · A · cosθ
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⚡ Faraday’s Law
ε = −N · ΔΦ / Δt
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🔋 Inductor Energy
U = ½ L I²
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🌊 Wavelength
λ = v / f
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⏱️ Period
T = 1 / f
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🔊 Wave Speed
v = f · λ
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📢 Doppler Effect
f′ = f · (v ± vₒ) / (v ± vₛ)
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📶 Intensity & Decibel
β = 10 log₁₀(I / I₀)
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🔢 Wave Number
k = 2π / λ
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🔎 Lens Formula
1/f = 1/v − 1/u (Cartesian sign convention)
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🪞 Mirror Formula
1/f = 1/v + 1/u
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🔍 Magnification
M = −v / u = h′ / h
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🌈 Snell’s Law
n₁ sinθ₁ = n₂ sinθ₂
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⚠️ Critical Angle
θc = arcsin(n₂ / n₁)
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💡 Photon Energy
E = h f = hc / λ
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💥 E = mc²
E = m c²
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🌊 de Broglie Wavelength
λ = h / p = h / (m v)
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⏳ Time Dilation
Δt = Δt₀ / √(1 − v²/c²)
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📏 Length Contraction
L = L₀ · √(1 − v²/c²)
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☢️ Radioactive Decay
N = N₀ e^(−λt)
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⏱️ Half-Life
T½ = ln(2) / λ
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💥 Nuclear Binding Energy
E_b = Δm · c²
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🚀 Relativistic Momentum
p = γ m v | γ = 1/√(1−v²/c²)
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📐 Fundamental Physical Constants
| Constant | Symbol | Value | Unit |
| Speed of light | c | 2.99792458e8 | m/s |
| Gravitational constant | G | 6.67430e-11 | N·m²/kg² |
| Planck constant | h | 6.62607015e-34 | J·s |
| Reduced Planck | ℏ | 1.0545718e-34 | J·s |
| Elementary charge | e | 1.60217662e-19 | C |
| Boltzmann constant | k_B | 1.380649e-23 | J/K |
| Avogadro constant | N_A | 6.02214076e23 | /mol |
| Gas constant | R | 8.314462618 | J/(mol·K) |
| Electron mass | m_e | 9.1093837e-31 | kg |
| Proton mass | m_p | 1.6726219e-27 | kg |
| Standard gravity | g | 9.80665 | m/s² |
| Vacuum permittivity | ε₀ | 8.854187817e-12 | F/m |
| Vacuum permeability | μ₀ | 1.256637062e-6 | N/A² |
| Coulomb constant | k | 8.987551792e9 | N·m²/C² |
| Stefan–Boltzmann | σ | 5.670374e-8 | W/(m²·K⁴) |
🔄 Quick Unit Converter
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