Average Velocity along Path AB at certain Height above Bed Calculator

✖Length of Path from A to B transducers in Electro sonic Method.ⓘ Length of Path from A to B [L]			+10% -10%
✖Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow.ⓘ Angle [θ]			+10% -10%
✖Elapse Time t1 is the ultrasonic sound sent by A received at B after a certain time.ⓘ Elapse Time t1 [t₁]			+10% -10%
✖Elapse Time t2 is the ultrasonic sound sent by B received at A after a certain time.ⓘ Elapse Time t2 [t₂]			+10% -10%

✖Average Velocity along path AB at a certain height above the bed.ⓘ Average Velocity along Path AB at certain Height above Bed [v_avg]

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Formula

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Average Velocity along Path AB at certain Height above Bed

Formula

`"v"_{"avg"} = (("L"/2)*cos("θ"))*((1/"t"_{"1"})-(1/"t"_{"2"}))`

Example

`"2.351318m/s"=(("3000m"/2)*cos("50°"))*((1/"2.02s")-(1/"2.03s"))`

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Download Area-Velocity and Ultrasonic Method of Streamflow Measurement Formulas PDF

Average Velocity along Path AB at certain Height above Bed Solution

STEP 0: Pre-Calculation Summary

Formula Used

Average Velocity along Path = ((Length of Path from A to B/2)*cos(Angle))*((1/Elapse Time t1)-(1/Elapse Time t2))
v_avg = ((L/2)*cos(θ))*((1/t₁)-(1/t₂))
This formula uses 1 Functions, 5 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Average Velocity along Path - (Measured in Meter per Second) - Average Velocity along path AB at a certain height above the bed.
Length of Path from A to B - (Measured in Meter) - Length of Path from A to B transducers in Electro sonic Method.
Angle - (Measured in Radian) - Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow.
Elapse Time t1 - (Measured in Second) - Elapse Time t1 is the ultrasonic sound sent by A received at B after a certain time.
Elapse Time t2 - (Measured in Second) - Elapse Time t2 is the ultrasonic sound sent by B received at A after a certain time.

STEP 1: Convert Input(s) to Base Unit

Length of Path from A to B: 3000 Meter --> 3000 Meter No Conversion Required
Angle: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
Elapse Time t1: 2.02 Second --> 2.02 Second No Conversion Required
Elapse Time t2: 2.03 Second --> 2.03 Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_avg = ((L/2)*cos(θ))*((1/t₁)-(1/t₂)) --> ((3000/2)*cos(0.872664625997001))*((1/2.02)-(1/2.03))

Evaluating ... ...

v_avg = 2.35131789135729

STEP 3: Convert Result to Output's Unit

2.35131789135729 Meter per Second --> No Conversion Required

FINAL ANSWER

2.35131789135729 ≈ 2.351318 Meter per Second <-- Average Velocity along Path

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Engineering Hydrology » Area-Velocity and Ultrasonic Method of Streamflow Measurement » Ultrasonic Method » Average Velocity along Path AB at certain Height above Bed

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< 6 Ultrasonic Method Calculators

Average Velocity along Path AB at certain Height above Bed

Go Average Velocity along Path = ((Length of Path from A to B/2)*cos(Angle))*((1/Elapse Time t1)-(1/Elapse Time t2))

Velocity of Sound in Water given Elapse Time of Ultrasonic Signal sent by A

Go Velocity of Sound in Water = (Length of Path from A to B/Elapse Time t1)-Component of Flow Velocity in Sound Path

Length of Path given Elapse Time of Ultrasonic Signal

Go Length of Path from A to B = Elapse Time t1*(Velocity of Sound in Water-Component of Flow Velocity in Sound Path)

Length of Path for Elapse Time of Ultrasonic Signal

Go Length of Path from A to B = Elapse Time t1*(Velocity of Sound in Water+Component of Flow Velocity in Sound Path)

Elapse Time of Ultrasonic Signal sent by A

Go Elapse Time t1 = Length of Path from A to B/(Velocity of Sound in Water+Component of Flow Velocity in Sound Path)

Elapse Time of Ultrasonic Signal sent by B

Go Elapse Time t2 = Length of Path from A to B/(Velocity of Sound in Water-Component of Flow Velocity in Sound Path)

Average Velocity along Path AB at certain Height above Bed Formula

Average Velocity along Path = ((Length of Path from A to B/2)*cos(Angle))*((1/Elapse Time t1)-(1/Elapse Time t2))
v_avg = ((L/2)*cos(θ))*((1/t₁)-(1/t₂))

What is the principle of Ultrasonic Method?

The principle of the Ultrasonic Method is to measure the velocity of flow at a certain depth by simultaneously transmitting sound pulses through the water from transducers located on either side of the river.

How to Calculate Average Velocity along Path AB at certain Height above Bed?

Average Velocity along Path AB at certain Height above Bed calculator uses Average Velocity along Path = ((Length of Path from A to B/2)*cos(Angle))*((1/Elapse Time t1)-(1/Elapse Time t2)) to calculate the Average Velocity along Path, The Average Velocity along Path AB at certain Height above Bed formula is defined as the average velocity of the flow through the cross-section at a height above the bed of the channel. Average Velocity along Path is denoted by v_avg symbol.

How to calculate Average Velocity along Path AB at certain Height above Bed using this online calculator? To use this online calculator for Average Velocity along Path AB at certain Height above Bed, enter Length of Path from A to B (L), Angle (θ), Elapse Time t1 (t₁) & Elapse Time t2 (t₂) and hit the calculate button. Here is how the Average Velocity along Path AB at certain Height above Bed calculation can be explained with given input values -> 2.351318 = ((3000/2)*cos(0.872664625997001))*((1/2.02)-(1/2.03)).

FAQ

What is Average Velocity along Path AB at certain Height above Bed?

The Average Velocity along Path AB at certain Height above Bed formula is defined as the average velocity of the flow through the cross-section at a height above the bed of the channel and is represented as v_avg = ((L/2)*cos(θ))*((1/t₁)-(1/t₂)) or Average Velocity along Path = ((Length of Path from A to B/2)*cos(Angle))*((1/Elapse Time t1)-(1/Elapse Time t2)). Length of Path from A to B transducers in Electro sonic Method, Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow, Elapse Time t1 is the ultrasonic sound sent by A received at B after a certain time & Elapse Time t2 is the ultrasonic sound sent by B received at A after a certain time.

How to calculate Average Velocity along Path AB at certain Height above Bed?

The Average Velocity along Path AB at certain Height above Bed formula is defined as the average velocity of the flow through the cross-section at a height above the bed of the channel is calculated using Average Velocity along Path = ((Length of Path from A to B/2)*cos(Angle))*((1/Elapse Time t1)-(1/Elapse Time t2)). To calculate Average Velocity along Path AB at certain Height above Bed, you need Length of Path from A to B (L), Angle (θ), Elapse Time t1 (t₁) & Elapse Time t2 (t₂). With our tool, you need to enter the respective value for Length of Path from A to B, Angle, Elapse Time t1 & Elapse Time t2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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