Gravitational Field of Thin Circular Disc 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 between Centers is defined as the distance between the centers of attracting body and the body being drawn.ⓘ Distance between Centers [r_c]			+10% -10%

✖Gravitational Field of Thin Circular Disc, is the gravitational force experienced by a point mass due to a disc of uniform mass distribution.ⓘ Gravitational Field of Thin Circular Disc [I_disc]

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Gravitational Field of Thin Circular Disc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2)
I_disc = -(2*[G.]*m*(1-cos(θ)))/(r_c^2)
This formula uses 1 Constants, 1 Functions, 4 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 Thin Circular Disc - (Measured in Newton per Kilogram) - Gravitational Field of Thin Circular Disc, is the gravitational force experienced by a point mass due to a disc 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 between Centers - (Measured in Meter) - Distance between Centers is defined as the distance between the centers of attracting body and the body being drawn.

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 between Centers: 384000 Meter --> 384000 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_disc = -(2*[G.]*m*(1-cos(θ)))/(r_c^2) --> -(2*[G.]*33*(1-cos(1.50796447372282)))/(384000^2)

Evaluating ... ...

I_disc = -2.79968756280913E-20

STEP 3: Convert Result to Output's Unit

-2.79968756280913E-20 Newton per Kilogram --> No Conversion Required

FINAL ANSWER

-2.79968756280913E-20 ≈ -2.8E-20 Newton per Kilogram <-- Gravitational Field of Thin Circular Disc

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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Gravitational Field of Thin Circular Disc Formula

LaTeX Go

Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2)
I_disc = -(2*[G.]*m*(1-cos(θ)))/(r_c^2)

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Escape velocity is the minimum speed that an object needs to escape from the gravitational influence of a celestial body, such as a planet or a moon, without any further propulsion. For an object to break free from the gravitational pull of a body and move infinitely far away, it must reach or exceed this velocity.

How to Calculate Gravitational Field of Thin Circular Disc?

Gravitational Field of Thin Circular Disc calculator uses Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2) to calculate the Gravitational Field of Thin Circular Disc, Gravitational Field of Thin Circular Disc formula is defined as a measure of the gravitational force exerted by a thin circular disc on a point mass, taking into account the mass of the disc, the angle of elevation, and the radial distance from the center of the disc to the point mass. Gravitational Field of Thin Circular Disc is denoted by I_disc symbol.

How to calculate Gravitational Field of Thin Circular Disc using this online calculator? To use this online calculator for Gravitational Field of Thin Circular Disc, enter Mass (m), Theta (θ) & Distance between Centers (r_c) and hit the calculate button. Here is how the Gravitational Field of Thin Circular Disc calculation can be explained with given input values -> -2.8E-20 = -(2*[G.]*33*(1-cos(1.50796447372282)))/(384000^2).

FAQ

What is Gravitational Field of Thin Circular Disc?

Gravitational Field of Thin Circular Disc formula is defined as a measure of the gravitational force exerted by a thin circular disc on a point mass, taking into account the mass of the disc, the angle of elevation, and the radial distance from the center of the disc to the point mass and is represented as I_disc = -(2*[G.]*m*(1-cos(θ)))/(r_c^2) or Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^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 between Centers is defined as the distance between the centers of attracting body and the body being drawn.

How to calculate Gravitational Field of Thin Circular Disc?

Gravitational Field of Thin Circular Disc formula is defined as a measure of the gravitational force exerted by a thin circular disc on a point mass, taking into account the mass of the disc, the angle of elevation, and the radial distance from the center of the disc to the point mass is calculated using Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2). To calculate Gravitational Field of Thin Circular Disc, you need Mass (m), Theta (θ) & Distance between Centers (r_c). With our tool, you need to enter the respective value for Mass, Theta & Distance between Centers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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