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Engineering fundamentals

Physical principles, units, and basic equations for preliminary engineering work.

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Workflow

Choose the physical relationship, enter known quantities with units, and check the ideal-model assumptions.

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Calculators in this category

01BIPM SI Brochure, 9th ed. / NIST SP 811

Engineering Unit Converter

Convert common engineering quantities through the shared SI core.

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02F = m·a

Force Calculator: F = m·a

Calculate the resultant force on a body from mass and acceleration.

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03ρ = m/V

Density Calculator from Mass and Volume

Calculate the density of a material or fluid from mass and volume.

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04p = F/A

Pressure Calculator: Force per Area

Calculate the mean pressure on a surface from normal force and effective area with p = F/A.

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05v = s/t

Speed, Distance and Time Calculator

Calculate average speed from distance and elapsed time.

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06a = Δv/Δt

Acceleration Calculator

Calculate average acceleration from initial and final velocity and the time interval.

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07Eₖ = ½mv²

Kinetic Energy Calculator

Calculate the kinetic energy of a body from mass and speed.

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08Eₚ = mgh

Potential Energy Calculator

Calculate gravitational potential energy from mass, height change and gravitational acceleration.

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09Dubbel Mechanik B 2.1.2 (Beispiel schiefer Wurf, hier Abwurfwinkel β = 0): x = v1·t, y = −g·t²/2 → x = v0·√(2h/g)

Horizontal Projectile Range Calculator

Calculate range, fall time and impact speed of a horizontally launched body from launch height and initial speed.

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10Pegeldefinition Ly = 10·lg(Y/Y0) für Energiegrößen nach Dubbel Meßtechnik W 2.9.2; energetische Addition inkohärenter Quellen

Sound Level Addition Calculator (dB)

Calculate the total sound level of two incoherent sound sources from their individual levels in dB.

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11Dubbel Meßtechnik W 2.9.2: Lx = 20·lg(X/X0), „bei Abstandsverdoppelung fällt der Schallpegel um ca. 6 dB" (Punktquelle, Freifeld)

Sound Level Distance Calculator

Calculate the sound level of a point source at a new distance from a known level at a reference distance.

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12Kräftegleichgewicht m·g = FW mit FW = cw·(ρv²/2)·Ap nach Dubbel Mechanik B 6.6.4, Gl. (35)

Terminal Velocity Calculator

Calculate the terminal velocity of a falling body at which weight and aerodynamic drag exactly balance.

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13Dubbel Meßtechnik W 1.4 Gaußsches Fehlerfortpflanzungsgesetz, Summen-/Differenzfunktion: Δy = √(ΔA² + ΔB²); GUM/JCGM 100

Uncertainty Propagation Calculator for Sums

Calculate the combined standard uncertainty of the sum or difference of two independent measured quantities.

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14Lineare Näherung c ≈ 331,3 + 0,606·T (°C) der idealen Gasbeziehung wS = √(κ·R·T) nach Dubbel Thermodynamik D 7.2.1

Speed of Sound in Air Calculator

Calculate the speed of sound in dry air from air temperature with the linear approximation, or the reverse.

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15Laufzeitprinzip s = c·t nach Dubbel Meßtechnik W 2.3.1 (Impuls-/Echoverfahren), hier Hin- und Rückweg: r = c·t/2

Echo Distance Calculator

Calculate the distance to a reflecting surface from the speed of sound and the measured round-trip echo time.

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16Doppler-Effekt für bewegte Quelle, ruhender Beobachter: f' = f·c/(c−v); Dubbel Meßtechnik W 2.3.1 nennt das Prinzip (Radar)

Doppler Effect Calculator

Calculate the frequency heard by an observer from an approaching sound source from emitted frequency, speed of sound and source speed.

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17W = F·s

Work Calculator: Force Times Distance

Calculate mechanical work for a constant force acting along the direction of motion.

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18f = 1/T

Frequency and Period Calculator

Convert the period of an oscillation or rotation to frequency and back.

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19s = Δh/L

Slope Calculator: Percent Grade from Rise and Run

Calculate the slope of a road, ramp or pipe from rise and horizontal run.

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20F = m·v²/r

Centripetal Force Calculator

Calculate the inward radial force on a body in circular motion.

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21a = v²/r

Centripetal Acceleration Calculator

Calculate the radial acceleration of a body moving on a circular path.

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