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

GoPartial Discharge in Sub-Area between Two Verticals given Flow Velocity Formula

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Partial Discharges of the flow in the sub-area between two verticals. Check FAQs

ΔQ i = (\frac{y i + y i+1}{2}) \cdot V^{2} \cdot \sin (θ) \cdot \cos (θ) \cdot Δt

ΔQ_i - Partial Discharges?y_i - Depth 'yi' of Flow in Sub-Area?y_i+1 - Depth 'i+1' of Flow in Sub-Area?V - Resultant Velocity?θ - Angle?Δt - Time of Transit between Two Verticals?

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

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Here is how the Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity equation looks like with Values.

Here is how the Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity equation looks like with Units.

Here is how the Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity equation looks like.

135.0007 = (\frac{3 + 4}{2}) \cdot 10^{2} \cdot \sin (50) \cdot \cos (50) \cdot 47

135.0007m³/s = (\frac{3m + 4m}{2}) \cdot {10m/s}^{2} \cdot \sin (50°) \cdot \cos (50°) \cdot 47s

135.0007 = (\frac{3 + 4}{2}) \cdot 10^{2} \cdot \sin (50) \cdot \cos (50) \cdot 47

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

Follow our step by step solution on how to calculate Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity?

FIRST Step Consider the formula

ΔQ i = (\frac{y i + y i+1}{2}) \cdot V^{2} \cdot \sin (θ) \cdot \cos (θ) \cdot Δt

Next Step Substitute values of Variables

∴

ΔQ i = (\frac{3m + 4m}{2}) \cdot {10m/s}^{2} \cdot \sin (50°) \cdot \cos (50°) \cdot 47s

Next Step Convert Units

∴

ΔQ i = (\frac{3m + 4m}{2}) \cdot {10m/s}^{2} \cdot \sin (0.8727rad) \cdot \cos (0.8727rad) \cdot 0.7833min

Next Step Prepare to Evaluate

∴

ΔQ i = (\frac{3 + 4}{2}) \cdot 10^{2} \cdot \sin (0.8727) \cdot \cos (0.8727) \cdot 0.7833

Next Step Evaluate

∴

ΔQ i = 135.000729475431m³/s

LAST Step Rounding Answer

∴

ΔQ i = 135.0007m³/s

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

Variables

Functions

Partial Discharges

Partial Discharges of the flow in the sub-area between two verticals.

Symbol: ΔQ_i

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Partial Discharges

Depth 'yi' of Flow in Sub-Area

Depth 'yi' of Flow in Sub-Area between two Verticals.

Symbol: y_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth 'yi' of Flow in Sub-Area

Depth 'i+1' of Flow in Sub-Area

Depth 'i+1' of Flow in Sub-Area between two verticals.

Symbol: y_i+1

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth 'i+1' of Flow in Sub-Area

Resultant Velocity

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.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Resultant Velocity

Angle

Angle made with the direction of the boat aligned in the direction of the resultant velocity or made with the direction of the flow.

Symbol: θ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Angle

Time of Transit between Two Verticals

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.

Symbol: Δt

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time of Transit between Two Verticals

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.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Partial Discharges

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

ΔQ i = (\frac{y i + y i+1}{2}) \cdot W + 1 \cdot V f

Other formulas in Area Velocity Method category

Go Moving Boat Velocity

v b = V \cdot \cos (θ)

Go Flow Velocity

V f = V \cdot \sin (θ)

Go Resultant Velocity given Moving Boat Velocity

V = \frac{v b}{\cos (θ)}

Go Resultant Velocity given Flow Velocity

V = \frac{V f}{\sin (θ)}

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

Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity evaluator 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 evaluate 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 evaluate Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity?

The formula of Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity is expressed as 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. Here is an example- 135.0007 = ((3+4)/2)*10^2*sin(0.872664625997001)*cos(0.872664625997001)*47.

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

With 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) we can find Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity using the formula - 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. This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Partial Discharges?

Here are the different ways to Calculate Partial Discharges-

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

Can the Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity be negative?

No, the Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity, measured in Volumetric Flow Rate cannot be negative.

Which unit is used to measure Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity?

Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity is usually measured using the Cubic Meter per Second[m³/s] for Volumetric Flow Rate. Cubic Meter per Day[m³/s], Cubic Meter per Hour[m³/s], Cubic Meter per Minute[m³/s] are the few other units in which Partial Discharge in Sub-Area between Two Verticals given Resultant Velocity can be measured.

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

​GoPartial Discharge in Sub-Area between Two Verticals given Flow Velocity Formula

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

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

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

Other Formulas to find Partial Discharges

Other formulas in Area Velocity Method category

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

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

Variable Name

GoPartial Discharge in Sub-Area between Two Verticals given Flow Velocity Formula