Gravitational Potential of Thin Circular Disc Calculator

✖Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass [m]			+10% -10%
✖Distance from center to point is the length of line segment measured from the center of a body to a particular point.ⓘ Distance from Center to Point [a]			+10% -10%
✖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.ⓘ Radius [R]			+10% -10%

✖Gravitational Potential of Thin Circular Disc at a point along its axis is the work done per unit mass to bring a test mass from infinity to that point.ⓘ Gravitational Potential of Thin Circular Disc [U_Disc]

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Gravitational Potential of Thin Circular Disc

Formula

`"U"_{"Disc"} = -(2*"[G.]"*"m"*(sqrt("a"^2+"R"^2)-"a"))/"R"^2`

Example

`"-1.6E^-11J"=-(2*"[G.]"*"33kg"*(sqrt(("25m")^2+("250m")^2)-"25m"))/("250m")^2`

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Gravitational Potential of Thin Circular Disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Potential of Thin Circular Disc = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
U_Disc = -(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 of Thin Circular Disc - (Measured in Joule) - Gravitational Potential of Thin Circular Disc at a point along its axis is the work done per unit mass to bring a test mass from infinity to that point.
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: 25 Meter --> 25 Meter No Conversion Required
Radius: 250 Meter --> 250 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_Disc = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2 --> -(2*[G.]*33*(sqrt(25^2+250^2)-25))/250^2

Evaluating ... ...

U_Disc = -1.59454927857484E-11

STEP 3: Convert Result to Output's Unit

-1.59454927857484E-11 Joule --> No Conversion Required

FINAL ANSWER

-1.59454927857484E-11 ≈ -1.6E-11 Joule <-- Gravitational Potential of Thin Circular Disc

(Calculation completed in 00.004 seconds)

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< 8 Gravitational Potential Calculators

Gravitational Potential of Thin Circular Disc

Go Gravitational Potential of Thin Circular Disc = -(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 of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2))

Gravitational Potential Energy

Go Gravitational Potential Energy = -([G.]*Mass 1*Mass 2)/Distance between Centers

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 of Thin Circular Disc = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2
U_Disc = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2

What is Mass ?

Mass is a fundamental property of physical objects that measures the amount of matter they contain, it is a scalar quantity, meaning it has magnitude but no direction, and it is invariant, meaning it does not change regardless of the object's location or the external forces acting on it.

How to Calculate Gravitational Potential of Thin Circular Disc?

Gravitational Potential of Thin Circular Disc calculator uses Gravitational Potential of Thin Circular Disc = -(2*[G.]*Mass*(sqrt(Distance from Center to Point^2+Radius^2)-Distance from Center to Point))/Radius^2 to calculate the Gravitational Potential of Thin Circular Disc, Gravitational Potential of Thin Circular Disc formula is defined as the total gravitational potential energy of a thin circular disc at a point on its axis, which is a measure of the gravitational potential energy of the disc at that point, taking into account the mass of the disc and its radius. Gravitational Potential of Thin Circular Disc is denoted by U_Disc 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 -> -1.6E-11 = -(2*[G.]*33*(sqrt(25^2+250^2)-25))/250^2.

FAQ

What is Gravitational Potential of Thin Circular Disc?

Gravitational Potential of Thin Circular Disc formula is defined as the total gravitational potential energy of a thin circular disc at a point on its axis, which is a measure of the gravitational potential energy of the disc at that point, taking into account the mass of the disc and its radius and is represented as U_Disc = -(2*[G.]*m*(sqrt(a^2+R^2)-a))/R^2 or Gravitational Potential of Thin Circular Disc = -(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 formula is defined as the total gravitational potential energy of a thin circular disc at a point on its axis, which is a measure of the gravitational potential energy of the disc at that point, taking into account the mass of the disc and its radius is calculated using Gravitational Potential of Thin Circular Disc = -(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.

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