Gravitational Potential of Ring 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%
✖Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.ⓘ Radius of Ring [r_ring]			+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%

✖Gravitational Potential of Ring 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.ⓘ Gravitational Potential of Ring [V_ring]

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Gravitational Potential of Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2))
V_ring = -([G.]*m)/(sqrt(r_ring^2+a^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 Ring - (Measured in Joule per Kilogram) - Gravitational Potential of Ring 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.
Radius of Ring - (Measured in Centimeter) - Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.
Distance from Center to Point - (Measured in Centimeter) - Distance from center to point is the length of line segment measured from the center of a body to a particular point.

STEP 1: Convert Input(s) to Base Unit

Mass: 33 Kilogram --> 33 Kilogram No Conversion Required
Radius of Ring: 6 Meter --> 600 Centimeter (Check conversion here)
Distance from Center to Point: 25 Meter --> 2500 Centimeter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_ring = -([G.]*m)/(sqrt(r_ring^2+a^2)) --> -([G.]*33)/(sqrt(600^2+2500^2))

Evaluating ... ...

V_ring = -8.56652365061081E-13

STEP 3: Convert Result to Output's Unit

-8.56652365061081E-13 Joule per Kilogram --> No Conversion Required

FINAL ANSWER

-8.56652365061081E-13 ≈ -8.6E-13 Joule per Kilogram <-- Gravitational Potential of Ring

(Calculation completed in 00.004 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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LaTeX 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 of Ring

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

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

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Gravitational Potential of Ring Formula

LaTeX Go

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

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How to Calculate Gravitational Potential of Ring?

Gravitational Potential of Ring calculator uses Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2)) to calculate the Gravitational Potential of Ring, Gravitational Potential of Ring formula is defined as the total gravitational potential energy of a ring-shaped object at a given point in space, which depends on the mass of the ring, the gravitational constant, and the radial distance from the center of the ring to the point of interest. Gravitational Potential of Ring is denoted by V_ring symbol.

How to calculate Gravitational Potential of Ring using this online calculator? To use this online calculator for Gravitational Potential of Ring, enter Mass (m), Radius of Ring (r_ring) & Distance from Center to Point (a) and hit the calculate button. Here is how the Gravitational Potential of Ring calculation can be explained with given input values -> -8.6E-13 = -([G.]*33)/(sqrt(6^2+25^2)).

FAQ

What is Gravitational Potential of Ring?

Gravitational Potential of Ring formula is defined as the total gravitational potential energy of a ring-shaped object at a given point in space, which depends on the mass of the ring, the gravitational constant, and the radial distance from the center of the ring to the point of interest and is represented as V_ring = -([G.]*m)/(sqrt(r_ring^2+a^2)) or Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2)). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface & Distance from center to point is the length of line segment measured from the center of a body to a particular point.

How to calculate Gravitational Potential of Ring?

Gravitational Potential of Ring formula is defined as the total gravitational potential energy of a ring-shaped object at a given point in space, which depends on the mass of the ring, the gravitational constant, and the radial distance from the center of the ring to the point of interest is calculated using Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2)). To calculate Gravitational Potential of Ring, you need Mass (m), Radius of Ring (r_ring) & Distance from Center to Point (a). With our tool, you need to enter the respective value for Mass, Radius of Ring & Distance from Center to Point 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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