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🧭 Travel & geographyFree
Convex Hull Perimeter Calculator for Cartesian Points
Six points, the 4 corners of a 4 by 3 rectangle plus an interior point and a repeat, give a perimeter of 14 using only the corners.
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🧭 Travel & geographyFree
Geodesic polygon area calculator on the WGS84 ellipsoid
A one-degree square at the equator, from 0° to 1° of latitude and longitude, covers 12308776177.673 m², or 1230877.6177673 hectares.
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🧭 Travel & geographyFree
Polygon interior angles from ordered vertices
For the notched shape (0, 0), (4, 0), (4, 3), (2, 1), (0, 3), the two square corners measure 90° and the inward corner at (2, 1) comes out as a reflex angle…
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🧭 Travel & geographyFree
Spherical triangle area calculator from latitude and longitude
Give three corners by latitude and longitude and get the area they enclose on a sphere: the triangle from the equator at 0° and 90° east up to the North Pole…
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🧭 Travel & geographyFree
Degrees decimal minutes to DMS converter
40° 26.78′ N becomes 40° 26′ 46.8″ N: the whole minutes stay, the leftover 0.78 of a minute times 60 gives the seconds, and the hemisphere letter is kept.
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🧭 Travel & geographyFree
Normalize bearing to 0–360 degrees
725.5° becomes 5.5° and -10° becomes 350°: any bearing, however many turns it carries, lands in the range from 0 up to but not including 360, so north is always…
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🧭 Travel & geographyFree
UTM zone number from longitude
Longitude 6° at latitude 60° lies in UTM zone 32, central meridian 9°, under the Norway rule. Enter a longitude to get its zone from 1 to 60, and add the…
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🧭 Travel & geographyFree
Approximate H3 hex index
Place a latitude and longitude in a hexagonal grid cell: 37.7749 and -122.4194 at resolution 7 fall in cell ah3-7-n6l-p20, with its center and approximate edge…
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🧭 Travel & geographyFree
Recover a shortened Plus Code from nearby coordinates
Give the short code 9G8F+6X and a nearby point such as 47.36559, 8.524997, and you get back the full Plus Code 8FVC9G8F+6X with its center and the edges of its…
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🧭 Travel & geographyFree
Quadkey to Tile XYZ Converter
Read a quadkey as a tile position: 1203 is column 9, row 5 at zoom 4. Each digit picks one of four quarters, so the length of the key is the zoom.
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🧭 Travel & geographyFree
Three meter grid index
Latitude 51.520847 and longitude -0.195521 fall in cell 5245474.4146823, row 5245474 of a grid whose cells are about three metres wide.
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🧭 Travel & geographyFree
Miller cylindrical projection calculator for latitude and longitude
With a radius of 6371008.8 m, latitude 40.7128 and longitude -74.006 land at x -8229103.108 and y 4792635.837 on the Miller cylindrical map.
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🧭 Travel & geographyFree
Stereographic projection calculator
Project a point onto a stereographic plane around any center you choose: centered on 40.7128, -74.006, the point 51.5074, -0.1278 lands at x 4641357.48593 m and…
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🧭 Travel & geographyFree
ECEF to local ENU converter
A point at X 6378137, Y 100, Z 50 m seen from an origin at 0° latitude and 0° longitude is 100 m east, 50 m north and 0 m up.
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🧭 Travel & geographyFree
Lambert azimuthal equal-area projection calculator
Project a latitude and longitude onto a Lambert azimuthal equal-area map centered where you choose, in metres east and north: the center itself, such as 45° N…
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🧭 Travel & geographyFree
Course Over Ground from Vectors
Steering east at 12 knots with a 3-knot current setting south gives a course over ground of 104.036243° and a speed of 12.369317 knots.
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🧭 Travel & geographyFree
Equal Time Point Calculator for Flight Planning
On a 600 nm route at 180 kt onward and 140 kt back, the equal time point lies 262.5 nm from departure and 337.5 nm from destination, 112.5 minutes away either…
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🧭 Travel & geographyFree
Travel time from distance and speed calculator
120 km at 80 km/h takes 1.5 hours, which is 90 minutes or 5,400 seconds: enter a distance and a steady speed in matching units and get the duration in all three…
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🧭 Travel & geographyFree
Descent Gradient and Top of Descent Calculator
Descending from 35000 ft to 3000 ft at 3° means losing 32000 ft and starting 100.491239 nautical miles before the target, with a 5.240778 % gradient.
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🧭 Travel & geographyFree
Dogleg route distance calculator
Going through a waypoint instead of straight to the destination added 12.517 km to a 3935.752 km trip, a 0.318 % detour.
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🧭 Travel & geographyFree
Three-dimensional distance
A horizontal distance of 120 m with a 50 m height difference gives a direct distance of 130 m. Enter the ground distance and the elevation change in one unit…
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🧭 Travel & geographyFree
Horizon dip angle calculator from observer height
See how far below level the horizon sits from a given eye height: at 10 metres the dip is about a tenth of a degree and the horizon is roughly 11 km away, on a…
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🧭 Travel & geographyFree
Turn anticipation distance calculator
With a 1500 m turn radius and a 60° course change, the turn should begin 866.0254037844 m before the waypoint.
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🧭 Travel & geographyFree
Distance from Angle and Height Calculator
An object 30 m tall seen at an elevation angle of 35° stands 42.84444020226344 m away on level ground.
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🧭 Travel & geographyFree
Vertical exaggeration factor calculator for terrain profiles
A profile drawn at 1:10,000 vertically and 1:50,000 horizontally exaggerates relief 5 times. Enter the two scale denominators and see how much taller slopes and…
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🧭 Travel & geographyFree
Viewshed point visibility test over a terrain profile
With observer and target 2 m above a profile rising from 100 to 104 over 1000 m, the target is visible and the tightest spot, at 250 m, clears by 2 m.
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🧭 Travel & geographyFree
Fishnet grid from bounding box
Split a bounding box into a regular grid of square cells: from 2° W to 0.5° E and 50° to 52° N with 1° cells you get 2 rows and 3 columns, the last column…
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🧭 Travel & geographyFree
Total pairwise distance calculator for latitude and longitude points
Four locations make six pairs, and this calculator adds the shortest over-the-globe distance of each pair exactly once, giving one total in kilometres, miles…
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🧭 Travel & geographyFree
Great-circle equator crossing longitude and bearing calculator
Give a start point and a heading and see where the great circle first meets the equator: leaving 40° N, 73° W on a bearing of 120°, the route crosses…
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🧭 Travel & geographyFree
Isometric latitude calculator
Convert a geodetic latitude into the isometric latitude behind the ellipsoidal Mercator projection: 45° gives 0.876634653434599 radians on WGS-84, with the…
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🧭 Travel & geographyFree
Geometric median calculator
Find the point with the smallest total straight-line distance to all your points; for (0, 0), (4, 0) and (2, 3) the geometric median lands at x 2, y…
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🧭 Travel & geographyFree
Snap a latitude and longitude coordinate to a grid
Round a coordinate to a fixed grid in one step: with a spacing of 0.01°, the point 37.7749, -122.4194 snaps to 37.77, -122.42, with grid indexes 3777 and…
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🧭 Travel & geographyFree
16-point compass to bearing
North-Northeast is 22.5°, East-Northeast 67.5° and North-Northwest 337.5°: type any of the 16 standard directions, in full or abbreviated, and get its exact…
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🧭 Travel & geographyFree
Eckert VI projection calculator
The point 40.7128, -74.006 on a sphere of 6371008.8 m lands at x -11792757.531 and y 5035021.826 on the Eckert VI world map, with an auxiliary angle of 51.337°.
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🔬 ScienceFree
Frequency from angular frequency calculator
Turn radians per second into hertz without mixing the two up: about 6.283185 rad/s is one full cycle each second, so 1 Hz, and the result keeps your original…
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🔬 ScienceFree
Transverse wave maximum particle acceleration calculator
A wave with a 0.02 m amplitude and an angular frequency of 10 rad/s gives each particle a peak acceleration of 2 m/s².
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🔬 ScienceFree
Closed pipe harmonic frequency calculator
Finds the resonances a closed-open pipe actually supports: the third harmonic of a 0.5 m pipe with sound at 343 m/s is 514.5 Hz.
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🔬 ScienceFree
Standing Wave Nodes Count Calculator for Fixed Ends
The fourth harmonic of a string fixed at both ends has 5 nodes: the two ends plus 3 interior points that never move.
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🔬 ScienceFree
Wave Power Transmittance Calculator from Impedances
See how much wave power gets through an impedance mismatch: going from 50 to 75 gives a transmittance of 0.96, so nearly all the power continues.
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🔬 ScienceFree
Wavelength from frequency and wave speed calculator
Divide the speed by the frequency and you have the length of one cycle: a 500 Hz sound moving at 340 m/s has a wavelength of 0.68 m.
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🔬 ScienceFree
Sound intensity level calculator
An intensity of 1 × 10^-6 W/m² against the 1 × 10^-12 W/m² hearing threshold is 60 dB, a ratio of one million.
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🔬 ScienceFree
Sound Power from Intensity and Area Calculator
An average intensity of 0.0025 W/m² across 12 m² carries 0.03 W of sound power. Use it for a test surface, an opening or a panel, and see the substitution…
K
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🔬 ScienceFree
Speed of sound in solid calculator
With a Young modulus of 200 GPa and a density of 7850 kg/m³, the calculator gives the speed at which a longitudinal wave runs along a thin rod, in m/s and km/h.
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🔬 ScienceFree
String harmonic series list calculator from fundamental frequency
A string with a 110 Hz fundamental has harmonics at 220, 330, 440, 550 and 660 Hz. Enter the fundamental and how many harmonics you want, and get the numbered…
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🔬 ScienceFree
Acoustic pressure from intensity calculator
Gives the RMS pressure behind a measured sound intensity, so 0.001 W/m² in air at 1.225 kg/m³ and 343 m/s is just under two-thirds of a pascal.
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🔬 ScienceFree
Sabine Reverberation Time Calculator
A 150 m³ room with 30 metric sabins of absorption has an RT60 of 0.805 s. Compare treatment options quickly: doubling the absorption halves the reverberation…
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➗ MathFree
Direct proportion calculator
From one known pair, get the constant and the answer you need: if 5 gives 12, the constant is 2.4 and 8 gives 19.2.
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🔬 ScienceFree
Frequency to MIDI note number calculator
Find which MIDI key a measured pitch belongs to: 440 Hz is note 69 (A4) with zero cents off, and any other frequency shows its nearest note plus how far it sits…
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🔬 ScienceFree
Room Volume from Reverberation Time Calculator
A room with an RT60 of 1.2 s and 50 metric sabins of absorption implies a volume of 372.670807453 m³.
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🔬 ScienceFree
Equal temperament note frequency calculator
Turn a reference pitch and a number of semitones into a frequency: 440 Hz moved up 12 semitones is 880 Hz, one octave higher, and every step multiplies by the…
K
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🔬 ScienceFree
Thin lens image distance calculator
Know where to put the screen: a lens with a focal length of 10 and an object 30 away forms a real, inverted image 15 away, in whatever length unit you used for…
K
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🔬 ScienceFree
Telescope exit pupil calculator
A 200 mm telescope working at 100x has a 2 mm exit pupil, the disk of light that enters your eye. Enter the aperture and the magnification to compare eyepieces…
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🔬 ScienceFree
Thick lens focal length calculator
Index 1.5, radii of 0.1 m and −0.1 m and a 0.01 m centre thickness give a converging lens with an effective focal length of 0.101694915254237 m.
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🔬 ScienceFree
Two-lens system image position calculator
With focal lengths of 0.1 m and 0.2 m, lenses 0.5 m apart and an object 0.3 m away, the first image sits at 0.15 m and the final image is real and upright.
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🔬 ScienceFree
Depth of field far limit calculator
See how far behind your subject sharpness reaches: a 50 mm lens at f/8 focused at 5 m stays acceptably sharp to a point between 9 and 10 m away, and the result…
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🔬 ScienceFree
Incidence angle from Snell's law calculator
Start from the refracted ray you need and get the incoming angle: from air at index 1 into glass at 1.5, a refraction angle of 19.4712206345° needs an incidence…
K
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🔬 ScienceFree
Spherical mirror object distance calculator
Choose the image distance you need and see where the object must go: with a focal length of 10 and an image distance of 30, the object sits at 15, in the same…
K
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🔬 ScienceFree
Cauchy Dispersion Refractive Index Calculator
Evaluates the Cauchy equation for one wavelength: with coefficients of 1.5046 and 0.0042 µm² at 0.55 µm, the refractive index is 1.518484297521.
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🔬 ScienceFree
Double-slit bright fringe position calculator
Predict where a bright band lands on the screen: order 3 with 6e-7 m light, slits 0.00025 m apart and a screen 2 m away sits 14.4 mm from the centre, using the…
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🔬 ScienceFree
Relative refractive index calculator
With air at 1 and glass at 1.5, the relative index of glass to air is 1.5, so glass is the optically denser medium.
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