Example engineering calculations
Worked, unit-aware calculation worksheets across structural, mechanical, electrical and more. Open any example into your own workspace to edit and reuse. New to Calculeaf? Start with your first worksheet or the examples guide.
61 examples found
Braking Distance
Distance to stop a vehicle from a speed under constant deceleration.
Angular Acceleration
Angular acceleration of a rotor from its change in angular speed.
Torque from a Force at an Angle
Torque (moment) of a force applied at an angle to a lever arm.
Moment of a Force
Turning moment of a force about a pivot from its perpendicular distance.
Work–Energy Theorem
Work done on a body equal to its change in kinetic energy.
Centre of Mass of Two Bodies
Centre of mass of two point masses along a line.
Coefficient of Restitution
Coefficient of restitution of a collision from approach and separation speeds.
Period from Frequency
Oscillation period from the frequency.
Sound Intensity Level (Decibels)
Sound level in decibels from the sound intensity.
Speed of Sound in a Gas
Speed of sound in an ideal gas from its temperature.
Wave Speed
Speed of a wave from its frequency and wavelength.
Doppler Frequency Shift
Observed frequency from an approaching sound source (Doppler effect).
Lens Magnification
Magnification produced by a lens from the image and object distances.
Critical Angle (Total Internal Reflection)
Critical angle beyond which light is totally internally reflected.
Refractive Index
Refractive index of a medium from the speed of light in it.
Lens Power (Dioptres)
Optical power of a lens in dioptres from its focal length.
Mass–Energy Equivalence
Energy equivalent of a mass from Einstein’s relation.
Diffraction Grating Angle
Diffraction angle for a given order of a light beam passing through a diffraction grating.
Young's Double-Slit Fringe Spacing
Spacing between adjacent bright interference fringes on a screen in the classic double-slit experiment.
Magnetic Force Between Two Parallel Current-Carrying Wires
Force per unit length between two long, parallel wires each carrying a steady current.
Electric Field of a Point Charge
Electric field strength at a distance from an isolated point charge, from Coulomb's law.
Electric Field Energy Density in a Capacitor
Energy stored per unit volume in the electric field between capacitor plates.
Malus's Law Polarizer Transmitted Intensity
Intensity of polarized light transmitted through a polarizing filter oriented at an angle to the incoming polarization.
Beat Frequency of Two Close Tones
Audible beat frequency produced when two sound tones of slightly different frequency are played together.