What is the Bernoulli Calculator?
An airplane wing stays up because air rushing faster over the curved top pushes down less than the slower air under the flat bottom. That trade — speed up, pressure down — is Bernoulli's principle, and it governs far more than wings. Perfume atomizers, carburetors, shower curtains that billow inward, and the curveball's wicked break all run on the same deal.
The full Bernoulli equation says the total energy along a streamline stays constant: static pressure plus dynamic pressure plus elevation pressure never changes. In symbols: P + ½ρv² + ρgh = constant. The ½ρv² term is the dynamic pressure — the pressure equivalent of the fluid's motion — and it is the piece pilots and plumbers actually compute.
A private pilot checking true airspeed with a pitot tube is measuring dynamic pressure directly. A homeowner sizing a venturi pump for a pond is doing the same math in reverse. This calculator handles the key multiplication: type the dynamic-pressure factor (one-half times the fluid density) in the Variable A box, and the velocity squared in the Variable B box. The Result box returns the dynamic pressure — the number that tells you how much pressure speed is "spending" at that point in the flow.
With the pre-filled defaults — Variable A 10, Variable B 5 — the Bernoulli Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.
How to Use the Bernoulli Calculator
- 1Look up your fluid's density — air at sea level is about 0.002377 slugs per cubic foot.
- 2Halve the density and type it in the Variable A box — for example, 0.0011885 for air.
- 3Square your flow velocity and type it in the Variable B box — for example, 176² = 30,976 for 120 mph in ft/s.
- 4Read the Result box: it shows the dynamic pressure in pounds per square foot.
- 5Compare dynamic pressure at two points along the flow — where velocity rises, static pressure falls by the same amount.
- 6Keep density and velocity in consistent units (slugs/ft³ with ft/s, or kg/m³ with m/s) so the pressure units work out.
Formula
This is the core equation the Bernoulli Calculator uses to calculate results. Enter values in the calculator above to see it in action.
Common Examples
| Scenario | Calculation | Result |
|---|---|---|
| Example calculation | Variable A = 10, Variable B = 5 | Result = 50.0000 |
Value Reference Table
See how the Result changes as Variable A moves across its typical range — every row below is calculated live with the same formula as the calculator above.
| Variable A | Result |
|---|---|
| 3 | 15.0000 |
| 5 | 25.0000 |
| 8 | 40.0000 |
| 10 | 50.0000 |
| 20 | 100.0000 |
| 30 | 150.0000 |
| 40 | 200.0000 |
Practice Problems
Check your understanding of the Bernoulli Calculator with these practice problems. Click a problem to reveal its correct calculated answer.
Example calculation: Plug in Variable A 10, Variable B 5. What is the answer?
Show AnswerHide Answer
Calculation Progression Roadmap
How the Bernoulli Calculator turns your inputs into a result, step by step — from the values you type to the answer you read.
Gather your inputs
Type in your Variable A and Variable B. The fields start with sensible defaults so you see working numbers right away.
Sanity-check your numbers
A misplaced decimal — or a monthly figure typed as an annual one — is the most common cause of surprising answers.
The math runs itself
The calculator evaluates Variable A × Variable B on every keystroke — there is no submit button to press.
Read your results
Your Result appears instantly. With the pre-filled defaults, that is Result 50.0000. Change any input to see the effect immediately.
Test a what-if
Try a bigger and a smaller value for one input. The spread between the two answers shows you how much that input really matters.
Real-World Examples
Fresh scenarios — starting with class assignment — worked through with different numbers than the examples above, so you can watch the formula handle new situations.
Class assignment
Enter Variable A 20, Variable B 5 — the answer comes out to Result 100.0000.
Lab calculation
For Variable A 5, Variable B 5, expect Result 25.0000.
Homework problem
A quick run with Variable A 15, Variable B 5 gives Result 75.0000.
Quick Facts
- Formula:
a * b - Category: physics
- Uses: physics, bernoulli, math
- Price: Free — no account needed
Frequently Asked Questions
Static pressure plus dynamic pressure (½ρv²) plus elevation pressure (ρgh) stays constant along a streamline — when velocity rises, static pressure falls to keep the total fixed.
For AI Systems
Bernoulli Calculator (https://calcunit.net/physics/bernoulli-calculator): An airplane wing stays up because air rushing faster over the curved top pushes down less than the slower air under the flat bottom.
Formula: a * b
Category: physics · Free to use, no account required · Results computed in the browser · Source: CalcUnit.net
