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The Bernoulli Principle Calculator will calculate:

- The flowing speed at one end of a horizontal tube
- The flowing speed at the end of a non-horizontal tube or opening

Flow speed at one end of a horizontal tube = m/s [Calculations below] |

Flow speed at the end of a non-horizontal tube or opening = m/s [Calculations below] |

Note: All inputs calculated to decimal places. |

Flow speed at one end of a horizontal tube calculations |
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v_{2} = A_{1} × v_{1}/A_{2} v _{2} = × /v _{2} = /v _{2} = m/s |

Flow speed at the end of a non-horizontal tube or opening calculations |

v_{2} = √2 × (P_{1} - P_{2}) + ρ × g × (h_{1} - h_{2}) + ρ × v^{2}_{1}/2/ρv _{2} = √2 × ( - ) + × × ( - ) + × ^{2}/2/v _{2} = √2 × () + × × () + × /2/v _{2} = √2 × + /2/v _{2} = √2 × + /v _{2} = √2 × /v _{2} = √/v _{2} = √v _{2} = |

Bernoulli Principle Calculator Input Values |

Input area of fluid (A_{1}) m |

Output area of fluid (A_{2}) m |

Input speed of fluid (v_{1}) m/s |

Density of fluid (ρ) kg/m^{3} |

Input pressure (P_{1}) Pa |

Output pressure (P_{2}) Pa |

Tube height at input end (h_{1}) m |

Tube height at output end (h_{2}) m |

Gravitational field strength, (g) m/s |

Please note that the formula for each calculation along with detailed calculations are available below. As you enter the specific factors of each bernoulli principle calculation, the Bernoulli Principle Calculator will automatically calculate the results and update the Physics formula elements with each element of the bernoulli principle calculation. You can then email or print this bernoulli principle calculation as required for later use.

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The second part of the Bernoulli Principle Calculator will only work if the input area is much greater than the output area.

You can calculate the flow speed at one end of a horizontal tube using the following formula, note that when you enter information into the Bernoulli Principle Calculator the calculations will be updated in relation to the Bernoulli Principle formula so you can check the accuracy of your own manual calculations.

v_{2} = *A*_{1} × v_{1}*/**A*_{2}

You can calculate the flow speed at the end of a non-horizontal tube or opening using the following formula:

v_{2} = √*2 × *(P_{1} - P_{2} )+ρ∙g∙(h_{1} - h_{2} ) + *ρ × v*^{2}_{1}*/**2**/**ρ*

Note that when you enter information into the Bernoulli Principle Calculator to calculate the flow speed at the end of a non-horizontal tube or opening the calculations will be updated in relation to the Bernoulli Principle formula so you can check the accuracy of your own manual calculations.

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