Average Depth given Propagation Velocity of Tide Wave Solution

STEP 0: Pre-Calculation Summary
Formula Used
Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))
h' = v^2/([g]*(1-tan(Θf)^2))
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
Functions Used
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Average Depth - (Measured in Meter) - Average Depth refers to the mean depth of the entire body of water.
Wave Speed - (Measured in Meter per Second) - Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time.
Friction Factor in Terms of Degree - (Measured in Radian) - Friction Factor in terms of Degree referred to the measure of resistance of fluid flow in terms of degree.
STEP 1: Convert Input(s) to Base Unit
Wave Speed: 13.3 Meter per Second --> 13.3 Meter per Second No Conversion Required
Friction Factor in Terms of Degree: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h' = v^2/([g]*(1-tan(Θf)^2)) --> 13.3^2/([g]*(1-tan(0.5235987755982)^2))
Evaluating ... ...
h' = 27.0566401370499
STEP 3: Convert Result to Output's Unit
27.0566401370499 Meter --> No Conversion Required
FINAL ANSWER
27.0566401370499 27.05664 Meter <-- Average Depth
(Calculation completed in 00.020 seconds)

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River Navigation Calculators

Tidal Period for Friction Factor and Propagation Velocity of Tide Wave
​ LaTeX ​ Go Tidal Period = (6*(pi^2)*(Chezy's Constant^2)*Average Depth*tan(Friction Factor in Terms of Degree/0.5))/(8*[g]*Maximum Flood Current)
Friction Factor for Propagation Velocity of Tide Wave
​ LaTeX ​ Go Friction Factor in Terms of Degree = 0.5*atan(Tidal Period*8*[g]*Maximum Flood Current/(6*pi^2*Chezy's Constant^2*Average Depth))
Propagation velocity of tide wave
​ LaTeX ​ Go Wave Speed = sqrt([g]*Average Depth*(1-tan(Friction Factor in Terms of Degree)^2))
Average Depth given Propagation Velocity of Tide Wave
​ LaTeX ​ Go Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))

Average Depth given Propagation Velocity of Tide Wave Formula

​LaTeX ​Go
Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2))
h' = v^2/([g]*(1-tan(Θf)^2))

What is River Navigation?

When a stretch of river is made navigable, a lock is sometimes required to bypass an obstruction such as a rapid, dam, or mill weir – because of the change in river level across the obstacle.
In large scale river navigation improvements, weirs and locks are used together. A weir will increase the depth of a shallow stretch, and the required lock will either be built in a gap in the weir, or at the downstream end of an artificial cut which bypasses the weir and perhaps a shallow stretch of river below it. A river improved by these means is often called a Waterway or River Navigation.

How to Calculate Average Depth given Propagation Velocity of Tide Wave?

Average Depth given Propagation Velocity of Tide Wave calculator uses Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2)) to calculate the Average Depth, The Average Depth given Propagation Velocity of Tide Wave formula is defined as the parameter influencing prediction of water depth at each shallow channel reaching at the time of arrival of ship. Average Depth is denoted by h' symbol.

How to calculate Average Depth given Propagation Velocity of Tide Wave using this online calculator? To use this online calculator for Average Depth given Propagation Velocity of Tide Wave, enter Wave Speed (v) & Friction Factor in Terms of Degree f) and hit the calculate button. Here is how the Average Depth given Propagation Velocity of Tide Wave calculation can be explained with given input values -> 382.3936 = 13.3^2/([g]*(1-tan(0.5235987755982)^2)).

FAQ

What is Average Depth given Propagation Velocity of Tide Wave?
The Average Depth given Propagation Velocity of Tide Wave formula is defined as the parameter influencing prediction of water depth at each shallow channel reaching at the time of arrival of ship and is represented as h' = v^2/([g]*(1-tan(Θf)^2)) or Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2)). Wave Speed is the rate at which a wave travels through a medium, measured in distance per unit time & Friction Factor in terms of Degree referred to the measure of resistance of fluid flow in terms of degree.
How to calculate Average Depth given Propagation Velocity of Tide Wave?
The Average Depth given Propagation Velocity of Tide Wave formula is defined as the parameter influencing prediction of water depth at each shallow channel reaching at the time of arrival of ship is calculated using Average Depth = Wave Speed^2/([g]*(1-tan(Friction Factor in Terms of Degree)^2)). To calculate Average Depth given Propagation Velocity of Tide Wave, you need Wave Speed (v) & Friction Factor in Terms of Degree f). With our tool, you need to enter the respective value for Wave Speed & Friction Factor in Terms of Degree 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 Average Depth?
In this formula, Average Depth uses Wave Speed & Friction Factor in Terms of Degree. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Average Depth = (Tidal Period*8*[g]*Maximum Flood Current)/(6*pi^2*Chezy's Constant^2*tan(Friction Factor in Terms of Degree/0.5))
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