Compute the air dew-point temperature from dry-bulb temperature and a humidity reading using the Magnus saturation-pressure equation: P_ws(T) = 0.6108·exp(17.27·T/(T+237.3)), P_w = φ·P_ws, T_dp = 237.3·ln(P_w/0.6108) / (17.27 − ln(P_w/0.6108)). Also returns the saturation vapour pressure P_ws, actual partial pressure P_w, and absolute humidity ρ_v (kg/m³). Three input modes: relative humidity φ (natural ventilated), August natural-ventilated wet-bulb T_w, or aspirated (Assmann) wet-bulb T_wa. Temperature in °C/K/°F; all reported temperatures are in the selected Temperature Unit.

Math & Numbers

Drag Force Calculator (F_D = ½·ρ·v²·C_D·A)

Compute the drag force on a body in a fluid stream: F_D = ½·ρ·v²·C_D·A (N), where ρ is the fluid density, v the free-stream velocity, C_D the drag coefficient (shape- and Reynolds-dependent), and A the reference (frontal projected) area. A built-in shape library supplies typical high-Re C_D values: sphere 0.47, hemisphere 0.42, long cylinder 0.81, disk/flat plate 1.17, cube 1.05, streamlined airfoil 0.04, long streamlined ellipsoid 0.07, cone 0.50; or choose 'Custom' to enter C_D directly. Optionally, with dynamic viscosity μ and characteristic length L, the Reynolds number Re = ρ·v·L/μ is computed, and the power dissipated by drag P = F_D·v (W). Density in kg/m³/g/cm³, velocity in m/s/km/h, area in m²/cm²/mm², length in m/cm/mm.

Math & Numbers

Duct Size Calculator (Flow Rate × Velocity)

Size a duct cross-section from the air flow rate Q and the design mean velocity v: area A = Q/v. Circular duct diameter D = √(4A/π). Rectangular duct with aspect ratio r = a/b gives b = √(A/r) and a = r·b, plus the ASHRAE equivalent diameter D_eq = 1.30·(a·b)^0.625/(a+b)^0.25. Flow rate in m³/s/m³/h/CFM, velocity in m/s; dimensions reported in mm and inches.

Math & Numbers

EER ↔ SEER ↔ COP Converter (Refrigeration Efficiency)

Convert between the three common refrigeration efficiency metrics: COP (dimensionless, W/W), EER (Btu/(W·h)), and SEER (seasonal Btu/(W·h)). Standard relations: COP = EER / 3.412, EER = COP × 3.412, SEER = EER / α (α seasonal weighting factor, default 0.875, adjustable 0.8–0.91 to match regional standards such as ARI 210/240). Enter any one metric and all three are reported.

Math & Numbers

Beam Deflection Calculator

Look up and compute the maximum deflection for four classic beam cases: cantilever with end point load (δ=PL³/3EI), cantilever with UDL (δ=qL⁴/8EI), simply supported with mid-span point load (δ=PL³/48EI), and simply supported with UDL (δ=5qL⁴/384EI).

Math & Numbers

Dimensional Analysis Unit Cancellation Tutor

Step-by-step factor-label unit cancellation with inverted-factor diagnosis and optional student-answer checking.

Finance

Depreciation Calculator

Compare four depreciation methods side by side: straight-line, declining balance (with multiplier, e.g. 2 for DDB), sum-of-the-years'-digits (SYD), and units of production (when yearly usage is provided). Shows book-value curves and a year-by-year depreciation table.

Math & Numbers

Doppler Effect Calculator (Frequency Shift)

Compute observed frequency and frequency shift for a moving source and/or observer

Math & Numbers

Density Calculator (ρ = m/V)

Compute density, mass, or volume from the other two, with specific gravity and a float/sink check

Math & Numbers

Enzyme Kinetics Calculator (Michaelis-Menten)

Calculate reaction velocity with Michaelis-Menten, estimate Km/Vmax via Lineweaver-Burk, and model enzyme inhibition.

Math & Numbers

Degrees to Arcminutes

Convert degrees to arcminutes with configurable decimal precision

Math & Numbers

Degrees to Arcseconds

Convert degrees to arcseconds with configurable decimal precision