Plumbing Torricelli Velocity Calculator

Ideal Torricelli free jet speed√2gh, actual head/density-independent inviscidlarge-reservoir limit, no orifice discharge coefficient or safe release. Actual independently matched units, regime, material/equipment and governing references; not a hydraulic code, safe pressure, water pot ability or operational approval.

Description

Torricelli's ideal velocity relates reservoir head to gravitational acceleration.

Torricelli's ideal velocity relates reservoir head to gravitational acceleration.1

Losses and discharge coefficients require a separate model. The calculation and input requirements are explained below.

When to use Plumbing Torricelli Velocity Calculator

Enter positive gravity in m/s² and nonnegative ideal reservoir head in meters.

How to use Plumbing Torricelli Velocity Calculator and how it works

  1. Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
  2. Enter the required fields and run Plumbing Torricelli Velocity Calculator.
  3. Read the result fields using the formula, output units, signs and ordering explained below.
  4. Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
Input fieldMeaningValue typeRequirement
callerGravityMetersPerSecondSquaredCaller Gravity Meters Per Second Squared. Use the units and matching context stated in the calculation below.numberRequired; strictly positive; finite; other constraints below
actualIdealHeadMetersActual Ideal Head Meters. Use the units and matching context stated in the calculation below.numberRequired; nonnegative; finite; other constraints below

Enter positive gravity in m/s² and nonnegative ideal reservoir head in meters. Return sqrt(2gh) in m/s. The ideal model excludes losses and outlet discharge coefficients.

velocityMps=sqrt(2*g*headM)

Apply the input ordering, units and branch conditions stated above.

Output fieldMeaningValue type
resultObject containing the calculated or selected fields below.object
result.valueNumeric result under the formula and output units explained above.number
json
{
  "input": {
    "callerGravityMetersPerSecondSquared": 2,
    "actualIdealHeadMeters": 1
  },
  "output": {
    "result": {
      "value": 2
    }
  }
}

Limitations and assumptions

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Plumbing Pipe Velocity From Flow Calculator for a complementary operation: Mean velocity in a full circular pipe follows from volume flow divided by bore area.

Use Plumbing Pipe Flow Rate Calculator for a complementary operation: Volume flow in a full circular pipe multiplies mean velocity by internal area.

References

  1. Plumbing Torricelli Velocity Calculator — tool.io

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