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Electrical, mechanical, computer science, civil, chemical, and thermal engineering — plus physics, mathematics, and nuclear science. Worked examples, explanations, and cross-references in one place.

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Try V = IR, F = ma, or O(n log n)

Formula of the day

BAC = (alcohol_grams / (mass_kg * r)) * 100 - (0.015 * hours)
Blood Alcohol Content (Widmark Formula)

Estimates blood alcohol concentration from amount of alcohol consumed, body weight, and time elapsed since drinking.

Biology
1120Formulas
21Disciplines
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Electrical Engineering

Electrical engineering formulas and calculators for circuit analysis, power systems, and electromagnetics used in real-world electrical design. Includes voltage, current, resistance, power, and AC/DC circuit equations.

Circuit Analysis Power Systems Electromagnetics
151 formulasBrowse →

Crypto & Blockchain

Crypto and blockchain calculators for trading, staking, mining, and tokenomics. Covers portfolio value, profit/loss, staking yield, mining profitability, and gas fee formulas.

Trading & Investment Mining & Blockchain DeFi & Yield Farming
122 formulasBrowse →

Aerospace Engineering

Aerospace engineering formulas and calculators for aerodynamics, propulsion, and flight mechanics in aircraft and spacecraft design. Includes lift, drag, thrust, and orbital trajectory equations.

Aerodynamics Propulsion
98 formulasBrowse →

Nuclear Engineering

Nuclear engineering formulas and calculators for reactor physics, radiation, and nuclear decay used in reactor design and safety analysis. Includes half-life, binding energy, and neutron flux equations.

Reactor Physics Radiation Radiation Protection
96 formulasBrowse →

Mathematics

Mathematics formulas and calculators for unit conversion, calculus, linear algebra, and core mathematical relationships used across every engineering discipline. Includes derivative, integral, matrix, and series equations.

Calculus Linear Algebra
84 formulasBrowse →

Computer Science

Computer science formulas and calculators for algorithms, data structures, and networking essential to software and systems design. Includes time complexity, hashing, graph theory, and data transmission equations.

Algorithms Data Structures Networking
62 formulasBrowse →

Economics & Finance

Economics and finance formulas and calculators for corporate finance and macroeconomic fundamentals used in business and investment decisions. Includes present value, interest rate, ROI, and economic growth equations.

Corporate Finance Macroeconomics
60 formulasBrowse →

Mechanical Engineering

Mechanical engineering formulas and calculators for statics, dynamics, and thermodynamics used to analyze forces, motion, and energy in mechanical systems. Includes stress, strain, work, and heat transfer equations.

Statics Dynamics Thermodynamics
41 formulasBrowse →

Physics

Physics formulas and calculators for kinematics, energy, and waves describing how objects move and interact in the physical world. Includes motion, force, momentum, and oscillatory system equations.

Kinematics Energy Waves
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Nuclear Engineering/ Nuclear Fuel Cycle

Fuel Utilization Factor

U = (burnup × initial HM) / (initial fissile mass)

Nuclear Engineering/ Nuclear Fuel Cycle

Fuel Residence Time

t_res = (fuel mass) / (burnup rate)

Nuclear Engineering/ Nuclear Fuel Cycle

Fuel Cycle Cost Calculator

FCC = (enrichment cost + fabrication cost + reprocessing cost + disposal cost) / (electricity generated)

Nuclear Engineering/ Nuclear Fuel Cycle

Spent Fuel Activity

A_sf = Σ A_i e^{-λ_i t}

Nuclear Engineering/ Nuclear Fuel Cycle

Fuel Pellet Density

ρ = mass / (π r² h)

Nuclear Engineering/ Nuclear Fuel Cycle

Uranium Consumption Rate

UCR = P / (η × F), where P = thermal power, F = energy per gram

Nuclear Engineering/ Nuclear Fuel Cycle

Nuclear Fuel Efficiency

NFE = (energy produced) / (energy in fuel)

Nuclear Engineering/ Nuclear Fuel Cycle

Fuel Inventory Calculator

I = V × ρ × (1 - porosity) × enrichment

Nuclear Engineering/ Nuclear Fuel Cycle

Nuclear Waste Heat Generation

Q_waste = Σ P_i (1 - e^{-λ_i t})

Nuclear Engineering/ Fusion Engineering

Lawson Criterion

n τ > 10²⁰ m⁻³ s (for D-T)

Nuclear Engineering/ Fusion Engineering

Fusion Reaction Energy

E = Δm c²

Nuclear Engineering/ Fusion Engineering

Plasma Beta

β = p / (B² / (2 μ₀))

Nuclear Engineering/ Fusion Engineering

Plasma Pressure

p = n k T

Nuclear Engineering/ Fusion Engineering

Fusion Gain Factor (Q)

Q = P_fusion / P_input

Nuclear Engineering/ Fusion Engineering

Triple Product Formula

n T τ_E

Nuclear Engineering/ Fusion Engineering

Fusion Power Density

S = n² ⟨σv⟩ E / 4

Nuclear Engineering/ Fusion Engineering

Plasma Confinement Time

τ_E = (energy stored) / (energy loss rate)

Nuclear Engineering/ Fusion Engineering

Fusion Reactor Efficiency

η_f = (P_electric) / (P_fusion)

Nuclear Engineering/ Nuclear Thermodynamics

Thermal Efficiency of Nuclear Power Plant

η = 1 - T_c / T_h

Nuclear Engineering/ Nuclear Thermodynamics

Reactor Cooling Rate

Q = ṁ c_p ΔT

Nuclear Engineering/ Nuclear Thermodynamics

Steam Generator Efficiency

η_SG = (heat transferred) / (heat available from primary)

Nuclear Engineering/ Nuclear Thermodynamics

Rankine Cycle Efficiency

η_R = (h₁ - h₂) / (h₁ - h₄)

Nuclear Engineering/ Nuclear Thermodynamics

Nuclear Plant Heat Rate

HR = (thermal input) / (net electrical output)

Nuclear Engineering/ Nuclear Thermodynamics

Reactor Heat Removal Rate

Q_rem = Σ (flow × cp × ΔT) over all channels

Nuclear Engineering/ Health Physics & Dosimetry

Effective Dose Calculator

E = Σ w_T H_T