Gravitational Field of Ring given Angle at any Point Outside 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%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+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 given Angle at any Point Outside Ring [I_ring]

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

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2
I_ring = -([G.]*m*cos(θ))/(a^2+r_ring^2)^2
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

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

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Distance from Center to Point - (Measured in Meter) - 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 Meter) - 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
Theta: 86.4 Degree --> 1.50796447372282 Radian (Check conversion here)
Distance from Center to Point: 25 Meter --> 25 Meter No Conversion Required
Radius of Ring: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_ring = -([G.]*m*cos(θ))/(a^2+r_ring^2)^2 --> -([G.]*33*cos(1.50796447372282))/(25^2+6^2)^2

Evaluating ... ...

I_ring = -3.16516609849568E-16

STEP 3: Convert Result to Output's Unit

-3.16516609849568E-16 Newton per Kilogram --> No Conversion Required

FINAL ANSWER

-3.16516609849568E-16 ≈ -3.2E-16 Newton per Kilogram <-- Gravitational Field of Ring

(Calculation completed in 00.004 seconds)

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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 given Angle at any Point Outside Ring Formula

LaTeX Go

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

What is earth gravity ?

Earth gravity, or gravitational force of Earth, is the force by which Earth attracts objects toward its center. This force gives objects their weight and causes them to fall when dropped.

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

Gravitational Field of Ring given Angle at any Point Outside Ring calculator uses Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2 to calculate 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 calculate Gravitational Field of Ring given Angle at any Point Outside Ring using this online calculator? To use this online calculator 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. Here is how the Gravitational Field of Ring given Angle at any Point Outside Ring calculation can be explained with given input values -> -3.2E-16 = -([G.]*33*cos(1.50796447372282))/(25^2+6^2)^2.

FAQ

What is Gravitational Field of Ring given Angle at any Point Outside 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 and is represented as I_ring = -([G.]*m*cos(θ))/(a^2+r_ring^2)^2 or Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2. Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, 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 given Angle at any Point Outside 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 is calculated using Gravitational Field of Ring = -([G.]*Mass*cos(Theta))/(Distance from Center to Point^2+Radius of Ring^2)^2. To calculate Gravitational Field of Ring given Angle at any Point Outside Ring, you need Mass (m), Theta (θ), Distance from Center to Point (a) & Radius of Ring (r_ring). With our tool, you need to enter the respective value for Mass, Theta, 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, Theta, 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*Distance from Center to Point)/(Radius of Ring^2+Distance from Center to Point^2)^(3/2)

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