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Gravitational Field of Ring given Angle at any Point Outside Ring Formula

GoGravitational Field of Ring Formula

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Gravitational Field of Ring is the gravitational force experienced by a point mass due to a ring of uniform mass distribution. Check FAQs

I ring = - \frac{[G.] \cdot m \cdot \cos (θ)}{{(a^{2} + {r ring}^{2})}^{2}}

I_ring - Gravitational Field of Ring?m - Mass?θ - Theta?a - Distance from Center to Point?r_ring - Radius of Ring?[G.] - Gravitational constant?

Gravitational Field of Ring given Angle at any Point Outside Ring Example

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Here is how the Gravitational Field of Ring given Angle at any Point Outside Ring equation looks like with Values.

Here is how the Gravitational Field of Ring given Angle at any Point Outside Ring equation looks like with Units.

Here is how the Gravitational Field of Ring given Angle at any Point Outside Ring equation looks like.

-3.2E-16 = - \frac{6.7E-11 \cdot 33 \cdot \cos (86.4)}{{(25^{2} + 6^{2})}^{2}}

-3.2E-16N/Kg = - \frac{6.7E-11 \cdot 33kg \cdot \cos (86.4°)}{{({25m}^{2} + {6m}^{2})}^{2}}

-3.2E-16 = - \frac{6.7E-11 \cdot 33 \cdot \cos (86.4)}{{(25^{2} + 6^{2})}^{2}}

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Gravitational Field of Ring given Angle at any Point Outside Ring Solution

Follow our step by step solution on how to calculate Gravitational Field of Ring given Angle at any Point Outside Ring?

FIRST Step Consider the formula

I ring = - \frac{[G.] \cdot m \cdot \cos (θ)}{{(a^{2} + {r ring}^{2})}^{2}}

Next Step Substitute values of Variables

∴

I ring = - \frac{[G.] \cdot 33kg \cdot \cos (86.4°)}{{({25m}^{2} + {6m}^{2})}^{2}}

Next Step Substitute values of Constants

∴

I ring = - \frac{6.7E-11 \cdot 33kg \cdot \cos (86.4°)}{{({25m}^{2} + {6m}^{2})}^{2}}

Next Step Convert Units

∴

I ring = - \frac{6.7E-11 \cdot 33kg \cdot \cos (1.508rad)}{{({25m}^{2} + {6m}^{2})}^{2}}

Next Step Prepare to Evaluate

∴

I ring = - \frac{6.7E-11 \cdot 33 \cdot \cos (1.508)}{{(25^{2} + 6^{2})}^{2}}

Next Step Evaluate

∴

I ring = -3.16516609849568E-16N/Kg

LAST Step Rounding Answer

∴

I ring = -3.2E-16N/Kg

Gravitational Field of Ring given Angle at any Point Outside Ring Formula Elements

Variables

Constants

Functions

Gravitational Field of Ring

Gravitational Field of Ring is the gravitational force experienced by a point mass due to a ring of uniform mass distribution.

Symbol: I_ring

Measurement: Gravitational Field IntensityUnit: N/Kg

Note: Value can be positive or negative.

Formulas to find Gravitational Field 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

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

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 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

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Gravitational Field of Ring

Go Gravitational Field of Ring

I ring = - \frac{[G.] \cdot m \cdot a}{{({r ring}^{2} + a^{2})}^{\frac{3}{2}}}

Other formulas in Gravitational Field category

Go Gravitational Field Intensity

E = \frac{F}{m}

Go Gravitational Field Intensity due to Point Mass

E = \frac{[G.] \cdot m' \cdot m o}{r}

Go Gravitational Field of Thin Circular Disc

I disc = - \frac{2 \cdot [G.] \cdot m \cdot (1 - \cos (θ))}{{r c}^{2}}

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

I = - \frac{[G.] \cdot m \cdot a}{R^{3}}

How to Evaluate Gravitational Field of Ring given Angle at any Point Outside Ring?

Gravitational Field of Ring given Angle at any Point Outside Ring evaluator uses Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2 to evaluate the Gravitational Field of Ring, Gravitational Field of Ring given Angle at any Point Outside Ring formula is defined as a measure of the gravitational force exerted by a ring on an object at a specific angle outside the ring, which is essential in understanding the gravitational interactions between objects in various astronomical and gravitational systems. Gravitational Field of Ring is denoted by I_ring symbol.

How to evaluate Gravitational Field of Ring given Angle at any Point Outside Ring using this online evaluator? To use this online evaluator for Gravitational Field of Ring given Angle at any Point Outside Ring, enter Mass (m), Theta (θ), Distance from Center to Point (a) & Radius of Ring (r_ring) and hit the calculate button.

FAQs on Gravitational Field of Ring given Angle at any Point Outside Ring

What is the formula to find Gravitational Field of Ring given Angle at any Point Outside Ring?

The formula of Gravitational Field of Ring given Angle at any Point Outside Ring is expressed as Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2. Here is an example- -3.2E-16 = -([G.]*33*cos(1.50796447372282))/(25^2+6^2)^2.

How to calculate Gravitational Field of Ring given Angle at any Point Outside Ring?

With Mass (m), Theta (θ), Distance from Center to Point (a) & Radius of Ring (r_ring) we can find Gravitational Field of Ring given Angle at any Point Outside Ring using the formula - Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2. This formula also uses Gravitational constant and Cosine (cos) function(s).

What are the other ways to Calculate Gravitational Field of Ring?

Here are the different ways to Calculate Gravitational Field of Ring-

Gravitational Field of Ring=-([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2)

Can the Gravitational Field of Ring given Angle at any Point Outside Ring be negative?

Yes, the Gravitational Field of Ring given Angle at any Point Outside Ring, measured in Gravitational Field Intensity can be negative.

Which unit is used to measure Gravitational Field of Ring given Angle at any Point Outside Ring?

Gravitational Field of Ring given Angle at any Point Outside Ring is usually measured using the Newton per Kilogram[N/Kg] for Gravitational Field Intensity. Newton per Gram[N/Kg], Newton per Milligram[N/Kg] are the few other units in which Gravitational Field of Ring given Angle at any Point Outside Ring can be measured.

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Gravitational Field of Ring given Angle at any Point Outside Ring Formula

​GoGravitational Field of Ring Formula

Gravitational Field of Ring given Angle at any Point Outside Ring Example

Gravitational Field of Ring given Angle at any Point Outside Ring Solution

Gravitational Field of Ring given Angle at any Point Outside Ring Formula Elements

Other Formulas to find Gravitational Field of Ring

Other formulas in Gravitational Field category

How to Evaluate Gravitational Field of Ring given Angle at any Point Outside Ring?

FAQs on Gravitational Field of Ring given Angle at any Point Outside Ring

Variable Name

GoGravitational Field of Ring Formula