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Gravitational Potential of Ring Formula

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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. Check FAQs

V ring = - \frac{[G.] \cdot m}{\sqrt{{r ring}^{2} + a^{2}}}

V_ring - Gravitational Potential of Ring?m - Mass?r_ring - Radius of Ring?a - Distance from Center to Point?[G.] - Gravitational constant?

Gravitational Potential of Ring Example

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Here is how the Gravitational Potential of Ring equation looks like with Values.

Here is how the Gravitational Potential of Ring equation looks like with Units.

Here is how the Gravitational Potential of Ring equation looks like.

-8.6E-13 = - \frac{6.7E-11 \cdot 33}{\sqrt{6^{2} + 25^{2}}}

-8.6E-13J/kg = - \frac{6.7E-11 \cdot 33kg}{\sqrt{{6m}^{2} + {25m}^{2}}}

-8.6E-13 = - \frac{6.7E-11 \cdot 33}{\sqrt{6^{2} + 25^{2}}}

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Gravitational Potential of Ring Solution

Follow our step by step solution on how to calculate Gravitational Potential of Ring?

FIRST Step Consider the formula

V ring = - \frac{[G.] \cdot m}{\sqrt{{r ring}^{2} + a^{2}}}

Next Step Substitute values of Variables

∴

V ring = - \frac{[G.] \cdot 33kg}{\sqrt{{6m}^{2} + {25m}^{2}}}

Next Step Substitute values of Constants

∴

V ring = - \frac{6.7E-11 \cdot 33kg}{\sqrt{{6m}^{2} + {25m}^{2}}}

Next Step Convert Units

∴

V ring = - \frac{6.7E-11 \cdot 33kg}{\sqrt{{600cm}^{2} + {2500cm}^{2}}}

Next Step Prepare to Evaluate

∴

V ring = - \frac{6.7E-11 \cdot 33}{\sqrt{600^{2} + 2500^{2}}}

Next Step Evaluate

∴

V ring = -8.56652365061081E-13J/kg

LAST Step Rounding Answer

∴

V ring = -8.6E-13J/kg

Gravitational Potential of Ring Formula Elements

Variables

Constants

Functions

Gravitational Potential of Ring

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.

Symbol: V_ring

Measurement: Gravitational PotentialUnit: J/kg

Note: Value can be positive or negative.

Formulas to find Gravitational Potential of Ring

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Radius of Ring

Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

Symbol: r_ring

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Radius of Ring

Distance from Center to Point

Distance from center to point is the length of line segment measured from the center of a body to a particular point.

Symbol: a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Center to Point

Gravitational constant

Gravitational constant is a fundamental constant in physics that appears in Newton's law of universal gravitation and Einstein's theory of general relativity.

Symbol: [G.]

Value: 6.67408E-11

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.

Syntax: sqrt(Number)

Other formulas in Gravitational Potential category

Go Gravitational Potential

V = - \frac{[G.] \cdot m}{s body}

Go Gravitational Potential Energy

U = - \frac{[G.] \cdot m 1 \cdot m 2}{r c}

Go Gravitational Potential of Thin Circular Disc

U Disc = - \frac{2 \cdot [G.] \cdot m \cdot (\sqrt{a^{2} + R^{2}} - a)}{R^{2}}

Go Gravitational Potential when Point is Inside of Non Conducting Solid Sphere

V = - \frac{[G.] \cdot m \cdot (3 \cdot {r c}^{2} - a^{2})}{2 \cdot R^{3}}

How to Evaluate Gravitational Potential of Ring?

Gravitational Potential of Ring evaluator uses Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2)) to evaluate 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 evaluate Gravitational Potential of Ring using this online evaluator? To use this online evaluator for Gravitational Potential of Ring, enter Mass (m), Radius of Ring (r_ring) & Distance from Center to Point (a) and hit the calculate button.

FAQs on Gravitational Potential of Ring

What is the formula to find Gravitational Potential of Ring?

The formula of Gravitational Potential of Ring is expressed as Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2)). Here is an example- -8.6E-13 = -([G.]*33)/(sqrt(6^2+25^2)).

How to calculate Gravitational Potential of Ring?

With Mass (m), Radius of Ring (r_ring) & Distance from Center to Point (a) we can find Gravitational Potential of Ring using the formula - Gravitational Potential of Ring = -([G.]*Mass)/(sqrt(Radius of Ring^2+Distance from Center to Point^2)). This formula also uses Gravitational constant and Square Root (sqrt) function(s).

Can the Gravitational Potential of Ring be negative?

Yes, the Gravitational Potential of Ring, measured in Gravitational Potential can be negative.

Which unit is used to measure Gravitational Potential of Ring?

Gravitational Potential of Ring is usually measured using the Joule per Kilogram[J/kg] for Gravitational Potential. Joule per Gram[J/kg], Joule per Centigram[J/kg], Joule per Milligram[J/kg] are the few other units in which Gravitational Potential of Ring can be measured.

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