Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity Calculator

✖Depth 'yi' of Flow in Sub-Area between two Verticals.ⓘ Depth 'yi' of Flow in Sub-Area [y_i]			+10% -10%
✖Depth 'i+1' of Flow in Sub-Area between two verticals.ⓘ Depth 'i+1' of Flow in Sub-Area [y_i+1]			+10% -10%
✖Resultant Velocity is the sum of its vector velocities. The sum of the vector forces on an object equals the scalar product of its mass and acceleration vector.ⓘ Resultant Velocity [V]			+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%
✖Time of Transit between Two Verticals is total time taken to cross reach which is a length of water body extending up into land, usually suggesting a straight, level and uninterrupted stretch.ⓘ Time of Transit between Two Verticals [Δt]			+10% -10%

✖Partial Discharges of the flow in the sub-area between two verticals.ⓘ Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity [ΔQ_i]

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Formula

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Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity

Formula

`"ΔQ"_{"i"} = (("y"_{"i"}+"y"_{"i+1"})/2)*"V"^2*sin("θ")*cos("θ")*"Δt"`

Example

`"135.0007m³/s"=(("3m"+"4m")/2)*("10m/s")^2*sin("50°")*cos("50°")*"47s"`

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Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Resultant Velocity^2*sin(Angle)*cos(Angle)*Time of Transit between Two Verticals
ΔQ_i = ((y_i+y_i+1)/2)*V^2*sin(θ)*cos(θ)*Δt
This formula uses 2 Functions, 6 Variables

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
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

Partial Discharges - (Measured in Cubic Meter per Second) - Partial Discharges of the flow in the sub-area between two verticals.
Depth 'yi' of Flow in Sub-Area - (Measured in Meter) - Depth 'yi' of Flow in Sub-Area between two Verticals.
Depth 'i+1' of Flow in Sub-Area - (Measured in Meter) - Depth 'i+1' of Flow in Sub-Area between two verticals.
Resultant Velocity - (Measured in Meter per Second) - Resultant Velocity is the sum of its vector velocities. The sum of the vector forces on an object equals the scalar product of its mass and acceleration vector.
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.
Time of Transit between Two Verticals - (Measured in Minute) - Time of Transit between Two Verticals is total time taken to cross reach which is a length of water body extending up into land, usually suggesting a straight, level and uninterrupted stretch.

STEP 1: Convert Input(s) to Base Unit

Depth 'yi' of Flow in Sub-Area: 3 Meter --> 3 Meter No Conversion Required
Depth 'i+1' of Flow in Sub-Area: 4 Meter --> 4 Meter No Conversion Required
Resultant Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Angle: 50 Degree --> 0.872664625997001 Radian (Check conversion here)
Time of Transit between Two Verticals: 47 Second --> 0.783333333333333 Minute (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ΔQ_i = ((y_i+y_i+1)/2)*V^2*sin(θ)*cos(θ)*Δt --> ((3+4)/2)*10^2*sin(0.872664625997001)*cos(0.872664625997001)*0.783333333333333

Evaluating ... ...

ΔQ_i = 135.000729475431

STEP 3: Convert Result to Output's Unit

135.000729475431 Cubic Meter per Second --> No Conversion Required

FINAL ANSWER

135.000729475431 ≈ 135.0007 Cubic Meter per Second <-- Partial Discharges

(Calculation completed in 00.004 seconds)

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Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity

Go Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Resultant Velocity^2*sin(Angle)*cos(Angle)*Time of Transit between Two Verticals

Partial Discharge in Sub-Area between Two Verticals given Flow Velocity

Go Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Width between Two Verticals+1*Flow Velocity

Time of Transit between two Verticals given Width between Verticals

Go Time of Transit between Two Verticals = Width between Two Verticals/Boat Velocity

Moving Boat Velocity given Width between Two Verticals

Go Boat Velocity = Width between Two Verticals/Time of Transit between Two Verticals

Width between Two Verticals

Go Width between Two Verticals = Boat Velocity*Time of Transit between Two Verticals

Resultant Velocity given Moving Boat Velocity

Go Resultant Velocity = Boat Velocity/cos(Angle)

Resultant Velocity given Flow Velocity

Go Resultant Velocity = Flow Velocity/sin(Angle)

Moving Boat Velocity

Go Boat Velocity = Resultant Velocity*cos(Angle)

Flow Velocity

Go Flow Velocity = Resultant Velocity*sin(Angle)

Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity Formula

What is Moving-Boat Technique for measurement of Velocity?

The Moving- Boat Technique measures the velocity over the width of a segment by suspending the current meter at a constant depth during the traverse of the boat across the stream. The measured velocity and the additional information of the depth sounding gives the required data for determining the discharge.

How to Calculate Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity?

Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity calculator uses Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Resultant Velocity^2*sin(Angle)*cos(Angle)*Time of Transit between Two Verticals to calculate the Partial Discharges, The Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity formula is defined as the discharge determined by measuring the depths, velocity and angle with the direction of a boat in a reach at a certain time of transit. Partial Discharges is denoted by ΔQ_i symbol.

How to calculate Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity using this online calculator? To use this online calculator for Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity, enter Depth 'yi' of Flow in Sub-Area (y_i), Depth 'i+1' of Flow in Sub-Area (y_i+1), Resultant Velocity (V), Angle (θ) & Time of Transit between Two Verticals (Δt) and hit the calculate button. Here is how the Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity calculation can be explained with given input values -> 135.0007 = ((3+4)/2)*10^2*sin(0.872664625997001)*cos(0.872664625997001)*47.

FAQ

What is Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity?

The Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity formula is defined as the discharge determined by measuring the depths, velocity and angle with the direction of a boat in a reach at a certain time of transit and is represented as ΔQ_i = ((y_i+y_i+1)/2)*V^2*sin(θ)*cos(θ)*Δt or Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Resultant Velocity^2*sin(Angle)*cos(Angle)*Time of Transit between Two Verticals. Depth 'yi' of Flow in Sub-Area between two Verticals, Depth 'i+1' of Flow in Sub-Area between two verticals, Resultant Velocity is the sum of its vector velocities. The sum of the vector forces on an object equals the scalar product of its mass and acceleration vector, Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow & Time of Transit between Two Verticals is total time taken to cross reach which is a length of water body extending up into land, usually suggesting a straight, level and uninterrupted stretch.

How to calculate Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity?

The Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity formula is defined as the discharge determined by measuring the depths, velocity and angle with the direction of a boat in a reach at a certain time of transit is calculated using Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Resultant Velocity^2*sin(Angle)*cos(Angle)*Time of Transit between Two Verticals. To calculate Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity, you need Depth 'yi' of Flow in Sub-Area (y_i), Depth 'i+1' of Flow in Sub-Area (y_i+1), Resultant Velocity (V), Angle (θ) & Time of Transit between Two Verticals (Δt). With our tool, you need to enter the respective value for Depth 'yi' of Flow in Sub-Area, Depth 'i+1' of Flow in Sub-Area, Resultant Velocity, Angle & Time of Transit between Two Verticals 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 Partial Discharges?

In this formula, Partial Discharges uses Depth 'yi' of Flow in Sub-Area, Depth 'i+1' of Flow in Sub-Area, Resultant Velocity, Angle & Time of Transit between Two Verticals. We can use 1 other way(s) to calculate the same, which is/are as follows -

Partial Discharges = ((Depth 'yi' of Flow in Sub-Area+Depth 'i+1' of Flow in Sub-Area)/2)*Width between Two Verticals+1*Flow Velocity

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