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Depth given Critical Velocity Calculator

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✖The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.ⓘ Critical Velocity [V_c]			+10% -10%
✖Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Depth is the distance from the top or surface to the bottom of something.ⓘ Depth given Critical Velocity [d]

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Formula

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Depth given Critical Velocity

Formula

d = 1.55 \cdot (\frac{{(V c)}^{2}}{g})

Example

4.049549 m = 1.55 \cdot (\frac{{(5.06 m/s)}^{2}}{9.8 m/s²})

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Depth given Critical Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Depth = 1.55*((Critical Velocity)^2/Acceleration due to Gravity)
d = 1.55*((V_c)^2/g)
This formula uses 3 Variables

Variables Used

Depth - (Measured in Meter) - Depth is the distance from the top or surface to the bottom of something.
Critical Velocity - (Measured in Meter per Second) - The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.

STEP 1: Convert Input(s) to Base Unit

Critical Velocity: 5.06 Meter per Second --> 5.06 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = 1.55*((V_c)^2/g) --> 1.55*((5.06)^2/9.8)

Evaluating ... ...

d = 4.04954897959184

STEP 3: Convert Result to Output's Unit

4.04954897959184 Meter --> No Conversion Required

FINAL ANSWER

4.04954897959184 ≈ 4.049549 Meter <-- Depth

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2100+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< Depth of Channel Calculators

Depth of Parabolic Channel given Width of Parabolic Channel

Go Depth of Parabolic Channel = (1.5*Area of Trickling Filter)/Width

Depth given Critical Velocity

Go Depth = 1.55*((Critical Velocity)^2/Acceleration due to Gravity)

Depth given Discharge for Rectangular Channel Section

Go Depth = Environmental Discharge/Constant

Depth of Parabolic Channel given Critical Depth

Go Depth = 1.55*Critical Depth

Depth given Critical Velocity Formula

Depth = 1.55*((Critical Velocity)^2/Acceleration due to Gravity)
d = 1.55*((V_c)^2/g)

What is Critical Velocity?

The Velocity at which flow transitions from being subcritical to supercritical. In open channel flow, critical velocity occurs when the flow's kinetic energy is equal to the potential energy. It's a point where the flow is neither too fast nor too slow, and it determines the efficiency and behavior of the channel.

How to Calculate Depth given Critical Velocity?

Depth given Critical Velocity calculator uses Depth = 1.55*((Critical Velocity)^2/Acceleration due to Gravity) to calculate the Depth, The Depth given Critical Velocity formula is defined as the value of the depth of flow in an open channel or pipe that corresponds to the critical velocity of the fluid. Depth is denoted by d symbol.

How to calculate Depth given Critical Velocity using this online calculator? To use this online calculator for Depth given Critical Velocity, enter Critical Velocity (V_c) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Depth given Critical Velocity calculation can be explained with given input values -> 4.049549 = 1.55*((5.06)^2/9.8).

FAQ

What is Depth given Critical Velocity?

The Depth given Critical Velocity formula is defined as the value of the depth of flow in an open channel or pipe that corresponds to the critical velocity of the fluid and is represented as d = 1.55*((V_c)^2/g) or Depth = 1.55*((Critical Velocity)^2/Acceleration due to Gravity). The Critical velocity is the greatest velocity with which a fluid can flow through a given conduit without becoming turbulent & Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.

How to calculate Depth given Critical Velocity?

The Depth given Critical Velocity formula is defined as the value of the depth of flow in an open channel or pipe that corresponds to the critical velocity of the fluid is calculated using Depth = 1.55*((Critical Velocity)^2/Acceleration due to Gravity). To calculate Depth given Critical Velocity, you need Critical Velocity (V_c) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Critical Velocity & Acceleration due to Gravity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Depth?

In this formula, Depth uses Critical Velocity & Acceleration due to Gravity. We can use 2 other way(s) to calculate the same, which is/are as follows -

Depth = Environmental Discharge/Constant
Depth = 1.55*Critical Depth

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