Component of Velocity in X Direction using Slope of Streamline Solution

STEP 0: Pre-Calculation Summary
Formula Used
Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline)
u = v/tan(pi/180*θ)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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
Component of Velocity in X Direction - (Measured in Meter per Second) - Component of Velocity in X Direction is velocity in horizontal direction.
Component of Velocity in Y Direction - (Measured in Meter per Second) - Component of Velocity in Y Direction is velocity in Vertical direction.
Slope of Streamline - Slope of Streamline is angle of inclination of streamline with horizontal.
STEP 1: Convert Input(s) to Base Unit
Component of Velocity in Y Direction: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Slope of Streamline: 51.3 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
u = v/tan(pi/180*θ) --> 10/tan(pi/180*51.3)
Evaluating ... ...
u = 8.01151070558751
STEP 3: Convert Result to Output's Unit
8.01151070558751 Meter per Second --> No Conversion Required
FINAL ANSWER
8.01151070558751 8.011511 Meter per Second <-- Component of Velocity in X Direction
(Calculation completed in 00.020 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Description of the Flow Pattern Calculators

Slope of Streamline
​ LaTeX ​ Go Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi)
Component of Velocity in X Direction using Slope of Streamline
​ LaTeX ​ Go Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline)
Component of Velocity in Y Direction given Slope of Streamline
​ LaTeX ​ Go Component of Velocity in Y Direction = Component of Velocity in X Direction*tan(pi/180*Slope of Streamline)

Streamlines, Equipotential Lines and Flow Net Calculators

Slope of Streamline
​ LaTeX ​ Go Slope of Streamline = arctan(Component of Velocity in Y Direction/Component of Velocity in X Direction)*(180/pi)
Component of Velocity in Y Direction given Slope of Equipotential Line
​ LaTeX ​ Go Component of Velocity in Y Direction = Component of Velocity in X Direction/Slope of Equipotential Line
Component of Velocity in X Direction given Slope of Equipotential Line
​ LaTeX ​ Go Component of Velocity in X Direction = Component of Velocity in Y Direction*Slope of Equipotential Line
Slope of Equipotential Line
​ LaTeX ​ Go Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction

Component of Velocity in X Direction using Slope of Streamline Formula

​LaTeX ​Go
Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline)
u = v/tan(pi/180*θ)

what is Streamline Flow?

Streamline flow in fluids is defined as the flow in which the fluids flow in parallel layers such that there is no disruption or intermixing of the layers and at a given point, the velocity of each fluid particle passing by remains constant with time.

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

Component of Velocity in X Direction using Slope of Streamline calculator uses Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline) to calculate 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 calculate Component of Velocity in X Direction using Slope of Streamline using this online calculator? To use this online calculator 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. Here is how the Component of Velocity in X Direction using Slope of Streamline calculation can be explained with given input values -> 10 = 10/tan(pi/180*51.3).

FAQ

What is Component of Velocity in X Direction using Slope of Streamline?
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 and is represented as u = v/tan(pi/180*θ) or Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline). Component of Velocity in Y Direction is velocity in Vertical direction & Slope of Streamline is angle of inclination of streamline with horizontal.
How to calculate Component of Velocity in X Direction using Slope of Streamline?
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 is calculated using Component of Velocity in X Direction = Component of Velocity in Y Direction/tan(pi/180*Slope of Streamline). To calculate Component of Velocity in X Direction using Slope of Streamline, you need Component of Velocity in Y Direction (v) & Slope of Streamline (θ). With our tool, you need to enter the respective value for Component of Velocity in Y Direction & Slope of Streamline 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 Component of Velocity in X Direction?
In this formula, Component of Velocity in X Direction uses Component of Velocity in Y Direction & Slope of Streamline. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Component of Velocity in X Direction = Component of Velocity in Y Direction*Slope of Equipotential Line
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