Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
Rithik Agrawal has created this Calculator and 400+ more calculators!
M Naveen
National Institute of Technology (NIT), Warangal
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11 Other formulas that you can solve using the same Inputs

Gravitational potential of a thin circular disc
Gravitational Potential=-(2*[G.]*Mass*(sqrt((Distance from center to a point)^2+(radius)^2)-Distance from center to a point))/(radius)^2 GO
Gravitational field of a ring
Gravitational Field=-([G.]*Mass*Distance from center to a point)/((Radius of ring)^2+(Distance from center to a point)^2)^(3/2) GO
Angular Displacement if initial angular velocity, angular acceleration and time are given
Angular Displacement=(Angular Velocity*Time Taken to Travel)+((Angular Acceleration*(Time Taken to Travel)^2)/2) GO
Gravitational potential when point p is inside of non conducting solid sphere
Gravitational Potential=-([G.]*Mass*((3*(Radius)^2)-(Distance from center to a point)^2))/(2*(radius)^3) GO
Gravitational field of a ring when cosθ is given
Gravitational Field=-([G.]*Mass*cos(Theta))/((Distance from center to a point)^2+(Radius of ring)^2)^2 GO
Gravitational potential of a ring
Gravitational Potential=-([G.]*Mass)/sqrt((Radius of ring)^2+(Distance from center to a point)^2) GO
Angular Displacement of body when initial and final angular velocity and angular acceleration are given
Angular Displacement=((Final Angular Velocity)^2-(Angular Velocity)^2)/(2*Angular Acceleration) GO
Angular Displacement if initial angular velocity, final angular velocity and time are given
Angular Displacement=((Angular Velocity+Final Angular Velocity)*Time Taken to Travel)/2 GO
Final Angular Velocity if initial angular velocity, angular acceleration and time is given
Final Angular Velocity=Angular Velocity+(Angular Acceleration*Time Taken to Travel) GO
angle traced in nth second( accelerated rotatory motion)
Angular Displacement=Angular Velocity+((Angular Acceleration*(2*Nth Second -1))/2) GO
Angular Momentum
Angular Momentum=Moment of Inertia*Angular Velocity GO

11 Other formulas that calculate the same Output

Height of a trapezoid when area and sum of parallel sides are given
Height=(2*Area)/Sum of parallel sides of a trapezoid GO
Height of a triangular prism when lateral surface area is given
Height=Lateral Surface Area/(Side A+Side B+Side C) GO
Height of an isosceles trapezoid
Height=sqrt(Side C^2-0.25*(Side A-Side B)^2) GO
Altitude of an isosceles triangle
Height=sqrt((Side A)^2+((Side B)^2/4)) GO
Height of a triangular prism when base and volume are given
Height=(2*Volume)/(Base*Length) GO
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
Height=4*Radius of Sphere/3 GO
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
Height=4*Radius of Sphere/3 GO
Height of Cone circumscribing a sphere such that volume of cone is minimum
Height=4*Radius of Sphere GO
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
Height=0.75*Slant Height GO
Height of a circular cylinder of maximum convex surface area in a given circular cone
Height=Height of Cone/2 GO
Height of Largest right circular cylinder that can be inscribed within a cone
Height=Height of Cone/3 GO

Equation of Free Surface of liquid Formula

Height=((Angular Velocity*Distance from center to a point)^2)/(2*[g])
h=((ω*a)^2)/(2*[g])
More formulas
Centripetal acceleration exerted on the liquid mass at a radial distance r from axis. GO
Constant Angular Velocity when Centripetal acceleration at a radial distance r from axis is Given GO
Radial Distance when Centripetal acceleration from axis is Given GO
Pressure at any point with origin at free surface GO
Atmospheric Pressure when Pressure at any point with origin at free surface is Given GO
Radial Distance when Pressure at any point with origin at free surface is Given GO
Vertical Depth (z) when Pressure at any point with origin at free surface is Given GO
Constant Angular Velocity when Equation of Free Surface of liquid is Given GO

What is Free Surface ?

A Free surface is the surface of a fluid that is subject to zero parallel shear stress, such as the interface between two homogeneous fluids, for example liquid water and the air in the Earth's atmosphere.

How to Calculate Equation of Free Surface of liquid?

Equation of Free Surface of liquid calculator uses Height=((Angular Velocity*Distance from center to a point)^2)/(2*[g]) to calculate the Height, The Equation of Free Surface of liquid is defined as general equation of flow of fluid in rotation about vertical axis. Height and is denoted by h symbol.

How to calculate Equation of Free Surface of liquid using this online calculator? To use this online calculator for Equation of Free Surface of liquid, enter Angular Velocity (ω) and Distance from center to a point (a) and hit the calculate button. Here is how the Equation of Free Surface of liquid calculation can be explained with given input values -> 0.203943 = ((20*0.1)^2)/(2*[g]).

FAQ

What is Equation of Free Surface of liquid?
The Equation of Free Surface of liquid is defined as general equation of flow of fluid in rotation about vertical axis and is represented as h=((ω*a)^2)/(2*[g]) or Height=((Angular Velocity*Distance from center to a point)^2)/(2*[g]). The angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time and Distance from center to a point is the length of line segment measured from the center of a body to a particular point.
How to calculate Equation of Free Surface of liquid?
The Equation of Free Surface of liquid is defined as general equation of flow of fluid in rotation about vertical axis is calculated using Height=((Angular Velocity*Distance from center to a point)^2)/(2*[g]). To calculate Equation of Free Surface of liquid, you need Angular Velocity (ω) and Distance from center to a point (a). With our tool, you need to enter the respective value for Angular Velocity and Distance from center to a point 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 Height?
In this formula, Height uses Angular Velocity and Distance from center to a point. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • Height=4*Radius of Sphere/3
  • Height=4*Radius of Sphere
  • Height=Height of Cone/3
  • Height=4*Radius of Sphere/3
  • Height=Height of Cone/2
  • Height=0.75*Slant Height
  • Height=sqrt(Side C^2-0.25*(Side A-Side B)^2)
  • Height=(2*Area)/Sum of parallel sides of a trapezoid
  • Height=sqrt((Side A)^2+((Side B)^2/4))
  • Height=(2*Volume)/(Base*Length)
  • Height=Lateral Surface Area/(Side A+Side B+Side C)
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