Slope of Equipotential Line Solution

STEP 0: Pre-Calculation Summary
Formula Used
Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction
Φ = u/v
This formula uses 3 Variables
Variables Used
Slope of Equipotential Line - Slope of Equipotential Line is slope of line having same potential in fluid flow.
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.
STEP 1: Convert Input(s) to Base Unit
Component of Velocity in X Direction: 8 Meter per Second --> 8 Meter per Second No Conversion Required
Component of Velocity in Y Direction: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Φ = u/v --> 8/10
Evaluating ... ...
Φ = 0.8
STEP 3: Convert Result to Output's Unit
0.8 --> No Conversion Required
FINAL ANSWER
0.8 <-- Slope of Equipotential Line
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 1300+ more calculators!
Verified by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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6 Streamlines, Equipotential Lines and Flow Net Calculators

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

Slope of Equipotential Line Formula

Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction
Φ = u/v

What is Equipotential Line?

Lines of constant ψ are known as streamlines and lines of constant φ are known as equipotential lines (see equipotential surface). Streamlines and equipotential lines are orthogonal to each other, since. Thus the flow occurs along the lines of constant ψ and at right angles to the lines of constant φ.

How to Calculate Slope of Equipotential Line?

Slope of Equipotential Line calculator uses Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction to calculate the Slope of Equipotential Line, The Slope of Equipotential Line formula is defined as slope of potential function where it is constant in the plane. Slope of Equipotential Line is denoted by Φ symbol.

How to calculate Slope of Equipotential Line using this online calculator? To use this online calculator for Slope of Equipotential Line, enter Component of Velocity in X Direction (u) & Component of Velocity in Y Direction (v) and hit the calculate button. Here is how the Slope of Equipotential Line calculation can be explained with given input values -> 0.8 = 8/10.

FAQ

What is Slope of Equipotential Line?
The Slope of Equipotential Line formula is defined as slope of potential function where it is constant in the plane and is represented as Φ = u/v or Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction. Component of Velocity in X Direction is velocity in horizontal direction & Component of Velocity in Y Direction is velocity in Vertical direction.
How to calculate Slope of Equipotential Line?
The Slope of Equipotential Line formula is defined as slope of potential function where it is constant in the plane is calculated using Slope of Equipotential Line = Component of Velocity in X Direction/Component of Velocity in Y Direction. To calculate Slope of Equipotential Line, you need Component of Velocity in X Direction (u) & Component of Velocity in Y Direction (v). With our tool, you need to enter the respective value for Component of Velocity in X Direction & Component of Velocity in Y Direction 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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