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Component of Velocity in X Direction using Slope of Streamline Formula

GoComponent of Velocity in X Direction given Slope of Equipotential Line Formula

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Component of Velocity in X Direction is velocity in horizontal direction. Check FAQs

u = \frac{v}{\tan (\frac{π}{180} \cdot θ)}

u - Component of Velocity in X Direction?v - Component of Velocity in Y Direction?θ - Slope of Streamline?π - Archimedes' constant?

Component of Velocity in X Direction using Slope of Streamline Example

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Here is how the Component of Velocity in X Direction using Slope of Streamline equation looks like with Values.

Here is how the Component of Velocity in X Direction using Slope of Streamline equation looks like with Units.

Here is how the Component of Velocity in X Direction using Slope of Streamline equation looks like.

8.0115 = \frac{10}{\tan (\frac{3.1416}{180} \cdot 51.3)}

8.0115m/s = \frac{10m/s}{\tan (\frac{3.1416}{180} \cdot 51.3)}

8.0115 = \frac{10}{\tan (\frac{3.1416}{180} \cdot 51.3)}

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Component of Velocity in X Direction using Slope of Streamline Solution

Follow our step by step solution on how to calculate Component of Velocity in X Direction using Slope of Streamline?

FIRST Step Consider the formula

u = \frac{v}{\tan (\frac{π}{180} \cdot θ)}

Next Step Substitute values of Variables

∴

u = \frac{10m/s}{\tan (\frac{π}{180} \cdot 51.3)}

Next Step Substitute values of Constants

∴

u = \frac{10m/s}{\tan (\frac{3.1416}{180} \cdot 51.3)}

Next Step Prepare to Evaluate

∴

u = \frac{10}{\tan (\frac{3.1416}{180} \cdot 51.3)}

Next Step Evaluate

∴

u = 8.01151070558751m/s

LAST Step Rounding Answer

∴

u = 8.0115m/s

Component of Velocity in X Direction using Slope of Streamline Formula Elements

Variables

Constants

Functions

Component of Velocity in X Direction

Component of Velocity in X Direction is velocity in horizontal direction.

Symbol: u

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Component of Velocity in X Direction

Component of Velocity in Y Direction

Component of Velocity in Y Direction is velocity in Vertical direction.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Component of Velocity in Y Direction

Slope of Streamline

Slope of Streamline is angle of inclination of streamline with horizontal.

Symbol: θ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Slope of Streamline

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: tan(Angle)

Other Formulas to find Component of Velocity in X Direction

Go Component of Velocity in X Direction given Slope of Equipotential Line

u = v \cdot Φ

Other formulas in Description of the Flow Pattern category

Go Slope of Equipotential Line

Φ = \frac{u}{v}

Go Component of Velocity in Y Direction given Slope of Equipotential Line

v = \frac{u}{Φ}

Go Slope of Streamline

θ = \arctan (\frac{v}{u}) \cdot (\frac{180}{π})

Go Component of Velocity in Y Direction given Slope of Streamline

v = u \cdot \tan (\frac{π}{180} \cdot θ)

How to Evaluate Component of Velocity in X Direction using Slope of Streamline?

Component of Velocity in X Direction using Slope of Streamline evaluator uses Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline) to evaluate the Component of Velocity in X Direction, The Component of Velocity in X Direction using Slope of Streamline is defined as velocity in a particular direction where angle is specified in radians. Component of Velocity in X Direction is denoted by u symbol.

How to evaluate Component of Velocity in X Direction using Slope of Streamline using this online evaluator? To use this online evaluator for Component of Velocity in X Direction using Slope of Streamline, enter Component of Velocity in Y Direction (v) & Slope of Streamline (θ) and hit the calculate button.

FAQs on Component of Velocity in X Direction using Slope of Streamline

What is the formula to find Component of Velocity in X Direction using Slope of Streamline?

The formula of Component of Velocity in X Direction using Slope of Streamline is expressed as Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline). Here is an example- 10 = 10/tan(pi/180*51.3).

How to calculate Component of Velocity in X Direction using Slope of Streamline?

With Component of Velocity in Y Direction (v) & Slope of Streamline (θ) we can find Component of Velocity in X Direction using Slope of Streamline using the formula - Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Component of Velocity in X Direction?

Here are the different ways to Calculate Component of Velocity in X Direction-

Component of Velocity in X Direction=Component of Velocity in Y Direction*Slope of Equipotential Line

Can the Component of Velocity in X Direction using Slope of Streamline be negative?

Yes, the Component of Velocity in X Direction using Slope of Streamline, measured in Speed can be negative.

Which unit is used to measure Component of Velocity in X Direction using Slope of Streamline?

Component of Velocity in X Direction using Slope of Streamline is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Component of Velocity in X Direction using Slope of Streamline can be measured.

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