Water Depth given Maximum Horizontal Velocity at Node Calculator

✖Maximum Horizontal Velocity at a Node [length/time] of a motion problem deals with motion in the x direction; that is, side to side, not up and down.ⓘ Maximum Horizontal Velocity at a Node [V_max]			+10% -10%
✖Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length].ⓘ Standing Wave Height [H]			+10% -10%

✖Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.ⓘ Water Depth given Maximum Horizontal Velocity at Node [d]

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Water Depth given Maximum Horizontal Velocity at Node

Formula

`"d" = "[g]"/("V"_{"max"}/("H"/2))^2`

Example

`"317735.5m"="[g]"/("50m/h"/("5m"/2))^2`

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Water Depth given Maximum Horizontal Velocity at Node Solution

STEP 0: Pre-Calculation Summary

Formula Used

Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2
d = [g]/(V_max/(H/2))^2
This formula uses 1 Constants, 3 Variables

Constants Used

[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Water Depth - (Measured in Meter) - Water Depth of the considered catchment is the depth as measured from the water level to the bottom of the considered water body.
Maximum Horizontal Velocity at a Node - (Measured in Meter per Second) - Maximum Horizontal Velocity at a Node [length/time] of a motion problem deals with motion in the x direction; that is, side to side, not up and down.
Standing Wave Height - (Measured in Meter) - Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length].

STEP 1: Convert Input(s) to Base Unit

Maximum Horizontal Velocity at a Node: 50 Meter per Hour --> 0.0138888888888889 Meter per Second (Check conversion here)
Standing Wave Height: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d = [g]/(V_max/(H/2))^2 --> [g]/(0.0138888888888889/(5/2))^2

Evaluating ... ...

d = 317735.459999999

STEP 3: Convert Result to Output's Unit

317735.459999999 Meter --> No Conversion Required

FINAL ANSWER

317735.459999999 ≈ 317735.5 Meter <-- Water Depth

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 22 Harbor Oscillations Calculators

Additional Length to account for Mass Outside each end of Channel

Go Additional Length of the Channel = (-Channel Width corresponding to Mean Water Depth/pi)*ln(pi*Channel Width corresponding to Mean Water Depth/(sqrt([g]*Channel Depth)*Resonant Period for Helmholtz Mode))

Resonant Period for Helmholtz Mode

Go Resonant Period for Helmholtz Mode = (2*pi)*sqrt((Channel Length+Additional Length of the Channel)*Surface Area of Bay/([g]*Channel Cross-sectional Area))

Channel Cross-sectional Area given Resonant Period for Helmholtz mode

Go Channel Cross-sectional Area = (Channel Length+Additional Length of the Channel)*Surface Area of Bay/([g]*(Resonant Period for Helmholtz Mode/2*pi)^2)

Basin Surface Area given Resonant Period for Helmholtz mode

Go Surface Area of Bay = ([g]*Channel Cross-sectional Area*(Resonant Period for Helmholtz Mode/2*pi)^2/(Channel Length+Additional Length of the Channel))

Additional Length accounting for Mass Outside each End of Channel

Go Additional Length of the Channel = ([g]*Channel Cross-sectional Area*(Resonant Period for Helmholtz Mode/2*pi)^2/Surface Area of Bay)-Channel Length

Channel Length for Resonant Period for Helmholtz Mode

Go Channel Length = ([g]*Channel Cross-sectional Area*(Resonant Period for Helmholtz Mode/2*pi)^2/Surface Area of Bay)-Additional Length of the Channel

Standing Wave Height given Maximum Horizontal Particle Excursion at Node

Go Standing Wave Height = (2*pi*Maximum Horizontal Particle Excursion)/Natural Free Oscillating Period of a Basin*sqrt([g]/Water Depth)

Maximum Horizontal Particle Excursion at Node

Go Maximum Horizontal Particle Excursion = (Standing Wave Height*Natural Free Oscillating Period of a Basin/2*pi)*sqrt([g]/Water Depth)

Standing Wave Height for Average Horizontal Velocity at Node

Go Standing Wave Height = (Average Horizontal Velocity at a Node*pi*Water Depth*Natural Free Oscillating Period of a Basin)/Wavelength

Water Depth given Average Horizontal Velocity at Node

Go Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin

Wave Length for Average Horizontal Velocity at Node

Go Wavelength = (Average Horizontal Velocity at a Node*pi*Water Depth*Natural Free Oscillating Period of a Basin)/Standing Wave Height

Average Horizontal Velocity at Node

Go Average Horizontal Velocity at a Node = (Standing Wave Height*Wavelength)/pi*Water Depth*Natural Free Oscillating Period of a Basin

Water Depth given Maximum Horizontal Particle Excursion at Node

Go Water Depth = [g]/(2*pi*Maximum Horizontal Particle Excursion/Standing Wave Height*Natural Free Oscillating Period of a Basin)^2

Standing Wave Height given Maximum Horizontal Velocity at Node

Go Standing Wave Height = (Maximum Horizontal Velocity at a Node/sqrt([g]/Water Depth))*2

Maximum Horizontal Velocity at Node

Go Maximum Horizontal Velocity at a Node = (Standing Wave Height/2)*sqrt([g]/Water Depth)

Period for Fundamental Mode

Go Natural Free Oscillating Period of a Basin = (4*Length of Basin)/sqrt([g]*Water Depth)

Basin Length along Axis for given Period of Fundamental Mode

Go Length of Basin = Natural Free Oscillating Period of a Basin*sqrt([g]*Water Depth)/4

Basin Length along axis given Maximum Oscillation Period corresponding to Fundamental Mode

Go Length of Basin = Maximum Oscillation Period*sqrt([g]*Water Depth)/2

Maximum Oscillation Period corresponding to Fundamental Mode

Go Maximum Oscillation Period = 2*Length of Basin/sqrt([g]*Water Depth)

Water Depth given Maximum Horizontal Velocity at Node

Go Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2

Water Depth for given Period for Fundamental Mode

Go Water Depth = ((4*Length of Basin/Natural Free Oscillating Period of a Basin)^2)/[g]

Water Depth given Maximum Oscillation Period corresponding to Fundamental Mode

Go Water Depth = (2*Length of Basin/Natural Free Oscillating Period of a Basin)^2/[g]

Water Depth given Maximum Horizontal Velocity at Node Formula

Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2
d = [g]/(V_max/(H/2))^2

What is a Standing Wave in the ocean?

Standing waves result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress. These are common in coastal areas where waves reflect off seawalls, ship's hulls, or breakwaters.

How to Calculate Water Depth given Maximum Horizontal Velocity at Node?

Water Depth given Maximum Horizontal Velocity at Node calculator uses Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2 to calculate the Water Depth, Water Depth given Maximum Horizontal Velocity at Node is defined as depth parameter influencing natural free oscillation period, number of nodes in basin n does not include node at entrance. Water Depth is denoted by d symbol.

How to calculate Water Depth given Maximum Horizontal Velocity at Node using this online calculator? To use this online calculator for Water Depth given Maximum Horizontal Velocity at Node, enter Maximum Horizontal Velocity at a Node (V_max) & Standing Wave Height (H) and hit the calculate button. Here is how the Water Depth given Maximum Horizontal Velocity at Node calculation can be explained with given input values -> 317735.5 = [g]/(0.0138888888888889/(5/2))^2.

FAQ

What is Water Depth given Maximum Horizontal Velocity at Node?

Water Depth given Maximum Horizontal Velocity at Node is defined as depth parameter influencing natural free oscillation period, number of nodes in basin n does not include node at entrance and is represented as d = [g]/(V_max/(H/2))^2 or Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2. Maximum Horizontal Velocity at a Node [length/time] of a motion problem deals with motion in the x direction; that is, side to side, not up and down & Standing Wave Height result when two equal waves are going in opposite direction and in this case you get the usual up/down motion of the water surface but the waves don't progress [length].

How to calculate Water Depth given Maximum Horizontal Velocity at Node?

Water Depth given Maximum Horizontal Velocity at Node is defined as depth parameter influencing natural free oscillation period, number of nodes in basin n does not include node at entrance is calculated using Water Depth = [g]/(Maximum Horizontal Velocity at a Node/(Standing Wave Height/2))^2. To calculate Water Depth given Maximum Horizontal Velocity at Node, you need Maximum Horizontal Velocity at a Node (V_max) & Standing Wave Height (H). With our tool, you need to enter the respective value for Maximum Horizontal Velocity at a Node & Standing Wave Height 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 Water Depth?

In this formula, Water Depth uses Maximum Horizontal Velocity at a Node & Standing Wave Height. We can use 4 other way(s) to calculate the same, which is/are as follows -

Water Depth = (2*Length of Basin/Natural Free Oscillating Period of a Basin)^2/[g]
Water Depth = ((4*Length of Basin/Natural Free Oscillating Period of a Basin)^2)/[g]
Water Depth = [g]/(2*pi*Maximum Horizontal Particle Excursion/Standing Wave Height*Natural Free Oscillating Period of a Basin)^2
Water Depth = (Standing Wave Height*Wavelength)/Average Horizontal Velocity at a Node*pi*Natural Free Oscillating Period of a Basin

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