FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Gravitational Field of Ring Formula

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

Fx Copy

LaTeX Copy

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 a}{{({r ring}^{2} + a^{2})}^{\frac{3}{2}}}

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

Gravitational Field of Ring Example

With values

With units

Only example

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

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

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

-3.2E-16 = - \frac{6.7E-11 \cdot 33 \cdot 25}{{(6^{2} + 25^{2})}^{\frac{3}{2}}}

-3.2E-16N/Kg = - \frac{6.7E-11 \cdot 33kg \cdot 25m}{{({6m}^{2} + {25m}^{2})}^{\frac{3}{2}}}

-3.2E-16 = - \frac{6.7E-11 \cdot 33 \cdot 25}{{(6^{2} + 25^{2})}^{\frac{3}{2}}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Basic Physics » Category

Mechanics » fx Gravitational Field of Ring

Gravitational Field of Ring Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I ring = - \frac{[G.] \cdot 33kg \cdot 25m}{{({6m}^{2} + {25m}^{2})}^{\frac{3}{2}}}

Next Step Substitute values of Constants

∴

I ring = - \frac{6.7E-11 \cdot 33kg \cdot 25m}{{({6m}^{2} + {25m}^{2})}^{\frac{3}{2}}}

Next Step Convert Units

∴

I ring = - \frac{6.7E-11 \cdot 33kg \cdot 2500cm}{{({600cm}^{2} + {2500cm}^{2})}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

I ring = - \frac{6.7E-11 \cdot 33 \cdot 2500}{{(600^{2} + 2500^{2})}^{\frac{3}{2}}}

Next Step Evaluate

∴

I ring = -3.23998625212209E-16N/Kg

LAST Step Rounding Answer

∴

I ring = -3.2E-16N/Kg

Gravitational Field of Ring Formula Elements

Variables

Constants

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

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

Other Formulas to find Gravitational Field of Ring

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

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

Gravitational Field of Ring evaluator uses Gravitational Field of Ring = -([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2) to evaluate the Gravitational Field of Ring, Gravitational Field of Ring formula is defined as a measure of the gravitational force exerted by a ring-shaped object on a unit mass, providing a way to calculate the gravitational attraction of the ring at a given point in space, taking into account the ring's mass, radius, and distance from the point of interest. Gravitational Field of Ring is denoted by I_ring symbol.

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

FAQs on Gravitational Field of Ring

What is the formula to find Gravitational Field of Ring?

The formula of Gravitational Field of Ring is expressed as Gravitational Field of Ring = -([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2). Here is an example- -3.2E-16 = -([G.]*33*25)/(6^2+25^2)^(3/2).

How to calculate Gravitational Field of Ring?

With Mass (m), Distance from Center to Point (a) & Radius of Ring (r_ring) we can find Gravitational Field of Ring using the formula - Gravitational Field of Ring = -([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2). This formula also uses Gravitational constant .

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*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2

Can the Gravitational Field of Ring be negative?

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

Which unit is used to measure Gravitational Field of Ring?

Gravitational Field of 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit