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🏠 Home, food & hobbiesFree
Pipe water volume calculator
A 20 m run of 50 mm pipe holds about thirty-nine litres, roughly 10 US gallons. Enter the inside diameter and the length in one unit to know how much water you…
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🏠 Home, food & hobbiesFree
Water pressure head calculator
A water pressure of 50 psi equals 115.332936 feet of head. Enter a gauge reading or a vertical height and get both figures, ready for pump curves, wells and…
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➗ MathFree
Fundamental counting principle calculator
Three shirts, four pairs of trousers and two pairs of shoes make 24 outfits. Enter how many options each step offers and get the exact number of combinations…
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➗ MathFree
Galileo's paradox of infinity
Galileo paired every counting number with its square, 1 with 1, 2 with 4, 3 with 9, and found that neither list runs out first.
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➗ MathFree
Gamma function calculator
Γ(2.5) is 1.3293403882: the gamma function extends the factorial to every real number, so Γ(5) equals 4!, which is 24.
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🏠 Home, food & hobbiesFree
Fertilizer NPK Calculator
To supply 5 pounds of actual nitrogen from a 20-5-10 bag you need 25 pounds of product. Type the target and the analysis from the label, add the bag size if you…
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🏠 Home, food & hobbiesFree
Landscape gravel calculator
A 200 square foot bed covered 2 inches deep takes 1.2346 cubic yards of decorative gravel, or 1.7284 short tons at the default density of 1.4 tons per cubic…
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🏠 Home, food & hobbiesFree
Sod roll calculator
With 10 sq ft printed on a 2 by 5 ft roll, a 1,000 sq ft lawn plus 10% waste takes exactly 110 rolls, or 3 pallets of 50.
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➗ MathFree
Gauss-Jordan elimination calculator
The classic system that opens with 2x + y − z equal to 8 solves to (x, y, z) = (2, 3, −1). Type each equation as a row of numbers and see whether there is one…
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🏠 Home, food & hobbiesFree
Bark mulch calculator
A 240 sq ft bed covered 3 inches deep needs 60 cubic feet of bark mulch: 2.2222 cubic yards in bulk or 30 bags of 2 cubic feet.
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🏠 Home, food & hobbiesFree
Fence rail calculator
12 fence sections with 3 rails each need 36 rail pieces; over a 96-foot run that is an average section of 8 feet and 288 feet of rail in all.
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🏠 Home, food & hobbiesFree
Patio paver count calculator
A 25 m² patio laid with 0.2 × 0.1 m pavers and 10% cutting waste needs 1,375 pavers. Enter the area, the face size of one paver and the waste your installer…
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🏠 Home, food & hobbiesFree
Plant spacing calculator
A 100 sq ft bed planted 1 ft apart on a square grid holds 100 plants, each in its own cell. Enter the usable area and the on-center spacing to get a whole-plant…
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➗ MathFree
GCD calculator
The greatest common divisor of 1071 and 462 is 21, found in three steps of Euclid's method without factoring either number.
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🏠 Home, food & hobbiesFree
Deck cost estimator
48 decking boards, 32 framing pieces, 5 fastener packs and 12 footings become one material total: each quantity is multiplied by its unit price and the four…
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🏠 Home, food & hobbiesFree
Drywall cost estimator
24 sheets, 4 buckets of compound, 2 boxes of screws and 3 rolls of tape each get their own line cost, then add up to one material total.
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🏠 Home, food & hobbiesFree
Renovation budget calculator
With the default 10% contingency, an itemized renovation subtotal grows by a tenth to cover surprises found once work begins.
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➗ MathFree
GCF calculator
The greatest common factor of 48 and 18 is 6: it is the largest number on both lists of divisors. Enter two integers, signed or with a zero, and get the exact…
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🏗️ Engineering & constructionFree
Acceleration from distance and time calculator
An object starting from rest that covers 100 metres in 10 seconds is accelerating at 2 m/s²: enter the distance and the time, and the calculator applies twice…
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🏗️ Engineering & constructionFree
Initial velocity for distance calculator
To cover 100 m in 5 s while accelerating at 2 m/s², an object must start at 15 m/s. Enter the signed displacement, the constant acceleration and a non-zero time…
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🏗️ Engineering & constructionFree
Reaction distance calculator
At 13.89 m/s with a 1.5 s reaction time, a car covers 20.835 m before the brakes even begin to work.
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🏗️ Engineering & constructionFree
Relative velocity 2D calculator
A body moving at (10, 0) seen from one moving at (3, 4) has a relative velocity of (7, −4): 7 along the horizontal and 4 downward.
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🏗️ Engineering & constructionFree
Torricelli equation calculator
Starting at 10 m/s and accelerating at 2 m/s² over 50 m, a body reaches 17.320508075689 m/s. Enter initial velocity, acceleration and displacement to get the…
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🏗️ Engineering & constructionFree
Vertical throw flight time calculator
A ball thrown straight up at 24.5 m/s under 9.80665 m/s² gravity stays in the air for 4.996609443592 s before passing its launch height again.
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➗ MathFree
General form equation of a circle
A circle with center (3, −2) and radius 5 becomes x² + y² − 6x + 4y − 12 = 0 in general form. Enter the center and radius and get the three coefficients, with…
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Runs in your browser
➗ MathFree
General to standard form of a circle
x² + y² − 6x + 4y − 12 = 0 is the circle with center (3, −2) and radius 5. Enter the three coefficients and the square is completed for you, with a warning when…
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➗ MathFree
Rectangle calculator
A rectangle 5 long and 3 wide has an area of 15 and a perimeter of 16. Enter the two sides once and read both figures in your own unit, squared for the area, so…
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🏗️ Engineering & constructionFree
Angle of repose calculator
A static friction coefficient of 0.5 means a block starts to slide at 26.565051177078 degrees: the calculator takes the arctangent of μₛ and gives the angle of…
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🏗️ Engineering & constructionFree
Force resolution calculator
A 100 N force at 30° has a vertical component of exactly 50 N: enter any magnitude and angle to get both components, with signs that show left, right, up or…
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🏗️ Engineering & constructionFree
Incline friction to prevent sliding calculator
A block on a 30-degree slope needs a static friction coefficient of at least 0.57735026919 to stay put.
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🏗️ Engineering & constructionFree
Mean velocity under uniform acceleration
An object that speeds up steadily from 10 m/s to 30 m/s has a mean velocity of 20 m/s over that stretch.
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🏗️ Engineering & constructionFree
Projectile range on an incline calculator
Fire at 30 m/s and 45° toward a ramp that rises 15° and see exactly where the projectile lands: the distance along the slope, the horizontal distance, the…
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🏗️ Engineering & constructionFree
Complementary angle range calculator
Type 20 m/s and 30° and the calculator also shows the 60° partner: both land at the same distance, while the steeper path stays longer in the air and climbs…
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🏗️ Engineering & constructionFree
Tension in accelerating cord calculator
On a smooth floor, pulling a 3 kg block with 10 N while it tows a 2 kg block gives both an acceleration of 2 m/s² and a cord tension of 4 N.
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🏗️ Engineering & constructionFree
Two-rope tension calculator
A 100 N weight hanging from ropes at 30° and 60° puts 50 N in the first rope and 86.60254 N in the second.
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➗ MathFree
Golden ratio calculator
Split a length in the ratio phi and get both pieces at once: 100 becomes 61.803399 and 38.196601, and the larger divided by the smaller gives phi, about…
H
Runs in your browser
➗ MathFree
Gradient calculator
Give two points and get the slope of the line that joins them: from (1, 2) to (4, 8) the gradient is 2, so the line climbs two units for every unit across.
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🏗️ Engineering & constructionFree
Centrifuge g-force calculator
A rotor radius of 10 cm at 10000 rpm gives 11180 g of relative centrifugal force. Enter the distance from the axis to the sample and the speed shown on your…
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🏗️ Engineering & constructionFree
Kinetic energy ratio calculator
Going from 10 to 20 km/h doubles the speed but quadruples the kinetic energy. Enter a reference speed and a comparison speed in the same unit to get the speed…
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🏗️ Engineering & constructionFree
Max speed on flat curve calculator
On a flat curve of 50 m radius with a friction coefficient of 0.7, the fastest speed before the tyres slide is 18.52970588 m/s.
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🏗️ Engineering & constructionFree
Output power from efficiency calculator
Find what a motor, drive or converter really delivers: 750 W in at 84 % efficiency gives 630 W of useful output, with the other 120 W lost.
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🏗️ Engineering & constructionFree
Pendulum speed at the bottom calculator
Release a pendulum bob 1.25 m above its lowest point and it passes the bottom at just under 5 m/s, with no mass needed.
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🏗️ Engineering & constructionFree
Screw jack mechanical advantage calculator
A 0.5 m handle on a screw with a 0.005 m pitch gives an ideal mechanical advantage of 2π × 100: your hand travels a whole circle while the load rises one pitch.
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🏗️ Engineering & constructionFree
Maximum static friction calculator
With a static coefficient of 0.45 and a normal force of 320 N, surfaces can hold up to 144 N before they slip.
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🏗️ Engineering & constructionFree
Work-energy theorem calculator
A 2 kg body speeding up from 3 to 5 m/s goes from 9 J to 25 J of kinetic energy, so the net work on it is 16 J.
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Runs in your browser
➗ MathFree
Gram-Schmidt calculator
Paste independent vectors and get an orthonormal basis of the same space: (1, 1, 0), (1, 0, 1) and (0, 0, 3) become three unit vectors at right angles, the…
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Runs in your browser
➗ MathFree
Graph linear inequalities on a number line
Enter an inequality such as 2x + 3 < 11 and see how to draw it: the answer x < 4, an open circle at 4, shading to the left and the interval (-∞, 4).
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🏗️ Engineering & constructionFree
Angular displacement calculator
A body spinning at 10 rad/s with an angular acceleration of 2 rad/s² sweeps 75 radians in 5 seconds: the calculator adds ω₀t and ½αt² and shows each step.
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🏗️ Engineering & constructionFree
1D momentum conservation calculator
A 2 kg cart at 3 m/s meets a 1 kg cart at −1 m/s; if the first ends at 1 m/s, the second leaves at 3 m/s.
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🏗️ Engineering & constructionFree
Explosion fragment velocity calculator
If a 2 kg piece flies off at 12 m/s, a 3 kg piece recoils at -8 m/s: the calculator finds the second fragment's velocity, with its direction shown as a sign…
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🏗️ Engineering & constructionFree
Impulse on bouncing ball calculator
A 0.5 kg ball that hits the floor at 4 m/s and rebounds at 3 m/s receives an impulse of 3.5 N·s, because its velocity changes by 7 m/s.
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🏗️ Engineering & constructionFree
Point Mass Moment of Inertia Calculator
A 3 kg mass sitting 2 m from the axis has a moment of inertia of 12 kg·m²: enter the mass and its perpendicular distance and get I = mr² straight away.
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🏗️ Engineering & constructionFree
Ring moment of inertia calculator
A thin ring of 3 kg and radius 4 m has a moment of inertia of 48 kg·m² about its centre, because all of its mass sits on the rim.
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🏗️ Engineering & constructionFree
Newton's cradle calculator
Tell it how many balls strike the row and how fast, and it gives what leaves the far end: two balls arriving at 1.5 m/s send two balls out at 1.5 m/s in the…
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🏗️ Engineering & constructionFree
Parallel axis theorem calculator
Move a known moment of inertia to a parallel axis: a 3 kg part with 2.5 kg·m² about its centre of mass, turning about an axis 0.4 m away, adds 0.48 and reaches…
B
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🏗️ Engineering & constructionFree
Power to overcome drag calculator
Holding 20 m/s against 100 N of drag takes 2000 W, since at steady speed the driving force exactly balances the resistance.
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🏗️ Engineering & constructionFree
Rolling down incline calculator
A solid cylinder, with inertia factor 0.5, rolling down a 30° ramp speeds up more slowly than a block sliding without friction, because part of the energy goes…
F
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🏗️ Engineering & constructionFree
Rotational work calculator
A constant 10 N·m torque turning a shaft through 2 radians does 20 J of work. Enter the torque and the angle in radians to get the work in joules, negative when…
A
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🏗️ Engineering & constructionFree
Spring launch speed calculator
A spring of 200 N/m compressed 0.1 m launches a 0.5 kg mass at 2 m/s. Enter stiffness, compression and mass to get the launch speed and the stored energy…
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Runs in your browser
➗ MathFree
Graphing quadratic inequalities
Type the three coefficients and the sign, and see which part of the line to shade: x² − 5x + 6 ≤ 0 has roots 2 and 3, the parabola opens upward, and the answer…
H
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