Gravitational Potential of Thin Circular Disc Solution

STEP 0: Pre-Calculation Summary
Formula Used
Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
V = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[G.] - Gravitational constant Value Taken As 6.67408E-11
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Gravitational Potential - (Measured in Joule per Kilogram) - Gravitational Potential is defined as the amount of work done by external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Distance from Center to Point - (Measured in Meter) - Distance from center to point is the length of line segment measured from the center of a body to a particular point.
Radius - (Measured in Meter) - The Radius of the sphere helps defines a three-dimensional counterpart of a circle, with all its points lying in space at a constant distance from the fixed point.
STEP 1: Convert Input(s) to Base Unit
Mass: 33 Kilogram --> 33 Kilogram No Conversion Required
Distance from Center to Point: 4 Meter --> 4 Meter No Conversion Required
Radius: 1.25 Meter --> 1.25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2 --> -(2*[G.]*33*(sqrt(4^2+1.25^2)-4))/1.25^2
Evaluating ... ...
V = -5.37787804203757E-10
STEP 3: Convert Result to Output's Unit
-5.37787804203757E-10 Joule per Kilogram --> No Conversion Required
FINAL ANSWER
-5.37787804203757E-10 -5.4E-10 Joule per Kilogram <-- Gravitational Potential
(Calculation completed in 00.004 seconds)

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7 Gravitational Potential Calculators

Gravitational Potential of Thin Circular Disc
Go Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
Gravitational Potential when Point is Inside of Non Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3)
Gravitational Potential of Ring
Go Gravitational Potential = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2))
Gravitational Potential when Point is Outside of Non Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
Gravitational Potential when Point is Outside of Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
Gravitational Potential
Go Gravitational Potential = -([G.]*Mass)/Displacement of Body
Gravitational Potential when Point is Inside of Conducting Solid Sphere
Go Gravitational Potential = -([G.]*Mass)/Radius

Gravitational Potential of Thin Circular Disc Formula

Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
V = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2

How is gravitational potential calculated for a thin circular disc ?

The gravitational potential for a ring is calculated by the formula V = -2GM / a2{ [ a2 + r2 ]1/2

What is the unit and dimension of gravitational potential of a thin circular disc?

The unit of gravitational potential is Jkg-1. The dimension of gravitational potential is [ M0L2T-2]

How to Calculate Gravitational Potential of Thin Circular Disc?

Gravitational Potential of Thin Circular Disc calculator uses Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2 to calculate the Gravitational Potential, Gravitational Potential of Thin Circular Disc at a point in the gravitational field of a body is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy. Gravitational Potential is denoted by V symbol.

How to calculate Gravitational Potential of Thin Circular Disc using this online calculator? To use this online calculator for Gravitational Potential of Thin Circular Disc, enter Mass (m), Distance from Center to Point (a) & Radius (R) and hit the calculate button. Here is how the Gravitational Potential of Thin Circular Disc calculation can be explained with given input values -> -5.4E-10 = -(2*[G.]*33*(sqrt(4^2+1.25^2)-4))/1.25^2.

FAQ

What is Gravitational Potential of Thin Circular Disc?
Gravitational Potential of Thin Circular Disc at a point in the gravitational field of a body is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy and is represented as V = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2 or Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Distance from center to point is the length of line segment measured from the center of a body to a particular point & The Radius of the sphere helps defines a three-dimensional counterpart of a circle, with all its points lying in space at a constant distance from the fixed point.
How to calculate Gravitational Potential of Thin Circular Disc?
Gravitational Potential of Thin Circular Disc at a point in the gravitational field of a body is defined as the amount of work done by an external agent in bringing a body of unit mass from infinity to that point by keeping no change in kinetic energy is calculated using Gravitational Potential = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2. To calculate Gravitational Potential of Thin Circular Disc, you need Mass (m), Distance from Center to Point (a) & Radius (R). With our tool, you need to enter the respective value for Mass, Distance from Center to Point & Radius 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 Gravitational Potential?
In this formula, Gravitational Potential uses Mass, Distance from Center to Point & Radius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Gravitational Potential = -([G.]*Mass*(3*Distance between Centers^2-Distance from Center to Point^2))/(2*Radius^3)
  • Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
  • Gravitational Potential = -([G.]*Mass)/Radius
  • Gravitational Potential = -([G.]*Mass)/Distance from Center to Point
  • Gravitational Potential = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2))
  • Gravitational Potential = -([G.]*Mass)/Displacement of Body
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