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Gravitational Potential of Thin Circular Disc Formula

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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. Check FAQs

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

U_Disc - Gravitational Potential of Thin Circular Disc?m - Mass?a - Distance from Center to Point?R - Radius?[G.] - Gravitational constant?

Gravitational Potential of Thin Circular Disc Example

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Here is how the Gravitational Potential of Thin Circular Disc equation looks like with Values.

Here is how the Gravitational Potential of Thin Circular Disc equation looks like with Units.

Here is how the Gravitational Potential of Thin Circular Disc equation looks like.

-1.6E-11 = - \frac{2 \cdot 6.7E-11 \cdot 33 \cdot (\sqrt{25^{2} + 250^{2}} - 25)}{250^{2}}

-1.6E-11J = - \frac{2 \cdot 6.7E-11 \cdot 33kg \cdot (\sqrt{{25m}^{2} + {250m}^{2}} - 25m)}{{250m}^{2}}

-1.6E-11 = - \frac{2 \cdot 6.7E-11 \cdot 33 \cdot (\sqrt{25^{2} + 250^{2}} - 25)}{250^{2}}

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Gravitational Potential of Thin Circular Disc Solution

Follow our step by step solution on how to calculate Gravitational Potential of Thin Circular Disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

U Disc = - \frac{2 \cdot [G.] \cdot 33kg \cdot (\sqrt{{25m}^{2} + {250m}^{2}} - 25m)}{{250m}^{2}}

Next Step Substitute values of Constants

∴

U Disc = - \frac{2 \cdot 6.7E-11 \cdot 33kg \cdot (\sqrt{{25m}^{2} + {250m}^{2}} - 25m)}{{250m}^{2}}

Next Step Prepare to Evaluate

∴

U Disc = - \frac{2 \cdot 6.7E-11 \cdot 33 \cdot (\sqrt{25^{2} + 250^{2}} - 25)}{250^{2}}

Next Step Evaluate

∴

U Disc = -1.59454927857484E-11J

LAST Step Rounding Answer

∴

U Disc = -1.6E-11J

Gravitational Potential of Thin Circular Disc Formula Elements

Variables

Constants

Functions

Gravitational Potential of Thin Circular Disc

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.

Symbol: U_Disc

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Gravitational Potential of Thin Circular Disc

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

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

Radius

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.

Symbol: R

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

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 Ring

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

Gravitational Potential of Thin Circular Disc evaluator 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 evaluate 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 evaluate Gravitational Potential of Thin Circular Disc using this online evaluator? To use this online evaluator for Gravitational Potential of Thin Circular Disc, enter Mass (m), Distance from Center to Point (a) & Radius (R) and hit the calculate button.

FAQs on Gravitational Potential of Thin Circular Disc

What is the formula to find Gravitational Potential of Thin Circular Disc?

The formula of Gravitational Potential of Thin Circular Disc is expressed as 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. Here is an example- -1.6E-11 = -(2*[G.]*33*(sqrt(25^2+250^2)-25))/250^2.

How to calculate Gravitational Potential of Thin Circular Disc?

With Mass (m), Distance from Center to Point (a) & Radius (R) we can find Gravitational Potential of Thin Circular Disc using the 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. This formula also uses Gravitational constant and Square Root (sqrt) function(s).

Can the Gravitational Potential of Thin Circular Disc be negative?

Yes, the Gravitational Potential of Thin Circular Disc, measured in Energy can be negative.

Which unit is used to measure Gravitational Potential of Thin Circular Disc?

Gravitational Potential of Thin Circular Disc is usually measured using the Joule[J] for Energy. Kilojoule[J], Gigajoule[J], Megajoule[J] are the few other units in which Gravitational Potential of Thin Circular Disc can be measured.

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Gravitational Potential of Thin Circular Disc Formula

Gravitational Potential of Thin Circular Disc Example

Gravitational Potential of Thin Circular Disc Solution

Gravitational Potential of Thin Circular Disc Formula Elements

Other formulas in Gravitational Potential category

How to Evaluate Gravitational Potential of Thin Circular Disc?

FAQs on Gravitational Potential of Thin Circular Disc

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