Gravitational Field 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%
✖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%
✖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%

✖Gravitational Field of Ring is the gravitational force experienced by a point mass due to a ring of uniform mass distribution.ⓘ Gravitational Field of Ring [I_ring]

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Gravitational Field of Ring Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Field of Ring = -([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2)
I_ring = -([G.]*m*a)/(r_ring^2+a^2)^(3/2)
This formula uses 1 Constants, 4 Variables

Constants Used

[G.] - Gravitational constant Value Taken As 6.67408E-11

Variables Used

Gravitational Field of Ring - (Measured in Newton per Kilogram) - Gravitational Field of Ring is the gravitational force experienced by a point mass due to a ring of uniform mass distribution.
Mass - (Measured in Kilogram) - Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.
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.
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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_ring = -([G.]*m*a)/(r_ring^2+a^2)^(3/2) --> -([G.]*33*2500)/(600^2+2500^2)^(3/2)

Evaluating ... ...

I_ring = -3.23998625212209E-16

STEP 3: Convert Result to Output's Unit

-3.23998625212209E-16 Newton per Kilogram --> No Conversion Required

FINAL ANSWER

-3.23998625212209E-16 ≈ -3.2E-16 Newton per Kilogram <-- Gravitational Field of Ring

(Calculation completed in 00.020 seconds)

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Created by Payal Priya

Birsa Institute of Technology (BIT), Sindri

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< Gravitational Field Calculators

Gravitational Field of Ring given Angle at any Point Outside Ring

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

Gravitational Field of Ring

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

Gravitational Field Intensity due to Point Mass

LaTeX Go Gravitational Field Intensity = ([G.]*Mass 3*Mass 4)/Distance between Two Bodies

Gravitational Field Intensity

LaTeX Go Gravitational Field Intensity = Force/Mass

Gravitational Field of Ring Formula

LaTeX Go

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

What is gravitational pull ?

Gravitational pull is the attractive force that one mass exerts on another due to gravity. This force is what keeps planets in orbit around the sun, moons orbiting planets, and objects anchored to the Earth's surface. It is a manifestation of the Universal Law of Gravitation.

How to Calculate Gravitational Field of Ring?

Gravitational Field of Ring calculator 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 calculate 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 calculate Gravitational Field of Ring using this online calculator? To use this online calculator for Gravitational Field of Ring, enter Mass (m), Distance from Center to Point (a) & Radius of Ring (r_ring) and hit the calculate button. Here is how the Gravitational Field of Ring calculation can be explained with given input values -> -3.2E-16 = -([G.]*33*25)/(6^2+25^2)^(3/2).

FAQ

What is 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 and is represented as I_ring = -([G.]*m*a)/(r_ring^2+a^2)^(3/2) or Gravitational Field of Ring = -([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2). Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Distance from center to point is the length of line segment measured from the center of a body to a particular point & Radius of Ring is a line segment extending from the center of a circle or sphere to the circumference or bounding surface.

How to calculate 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 is calculated using Gravitational Field of Ring = -([G.]*Mass*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2). To calculate Gravitational Field of Ring, you need Mass (m), Distance from Center to Point (a) & Radius of Ring (r_ring). With our tool, you need to enter the respective value for Mass, Distance from Center to Point & Radius of Ring and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Gravitational Field of Ring?

In this formula, Gravitational Field of Ring uses Mass, Distance from Center to Point & Radius of Ring. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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