FormulaDen.com

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

Gravitational Field of Thin Circular Disc Formula

Fx Copy

LaTeX Copy

Gravitational Field of Thin Circular Disc, is the gravitational force experienced by a point mass due to a disc of uniform mass distribution. Check FAQs

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

I_disc - Gravitational Field of Thin Circular Disc?m - Mass?θ - Theta?r_c - Distance between Centers?[G.] - Gravitational constant?

Gravitational Field of Thin Circular Disc Example

With values

With units

Only example

Here is how the Gravitational Field of Thin Circular Disc equation looks like with Values.

Here is how the Gravitational Field of Thin Circular Disc equation looks like with Units.

Here is how the Gravitational Field of Thin Circular Disc equation looks like.

-2.8E-20 = - \frac{2 \cdot 6.7E-11 \cdot 33 \cdot (1 - \cos (86.4))}{384000^{2}}

-2.8E-20N/Kg = - \frac{2 \cdot 6.7E-11 \cdot 33kg \cdot (1 - \cos (86.4°))}{{384000m}^{2}}

-2.8E-20 = - \frac{2 \cdot 6.7E-11 \cdot 33 \cdot (1 - \cos (86.4))}{384000^{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 Thin Circular Disc

Gravitational Field of Thin Circular Disc Solution

Follow our step by step solution on how to calculate Gravitational Field of Thin Circular Disc?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I disc = - \frac{2 \cdot [G.] \cdot 33kg \cdot (1 - \cos (86.4°))}{{384000m}^{2}}

Next Step Substitute values of Constants

∴

I disc = - \frac{2 \cdot 6.7E-11 \cdot 33kg \cdot (1 - \cos (86.4°))}{{384000m}^{2}}

Next Step Convert Units

∴

I disc = - \frac{2 \cdot 6.7E-11 \cdot 33kg \cdot (1 - \cos (1.508rad))}{{384000m}^{2}}

Next Step Prepare to Evaluate

∴

I disc = - \frac{2 \cdot 6.7E-11 \cdot 33 \cdot (1 - \cos (1.508))}{384000^{2}}

Next Step Evaluate

∴

I disc = -2.79968756280913E-20N/Kg

LAST Step Rounding Answer

∴

I disc = -2.8E-20N/Kg

Gravitational Field of Thin Circular Disc Formula Elements

Variables

Constants

Functions

Gravitational Field of Thin Circular Disc

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

Symbol: I_disc

Measurement: Gravitational Field IntensityUnit: N/Kg

Note: Value can be positive or negative.

Formulas to find Gravitational Field of Thin Circular Disc

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 between Centers

Distance between Centers is defined as the distance between the centers of attracting body and the body being drawn.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance between Centers

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 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 Ring

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

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}}

How to Evaluate Gravitational Field of Thin Circular Disc?

Gravitational Field of Thin Circular Disc evaluator uses Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2) to evaluate 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 evaluate Gravitational Field of Thin Circular Disc using this online evaluator? To use this online evaluator for Gravitational Field of Thin Circular Disc, enter Mass (m), Theta (θ) & Distance between Centers (r_c) and hit the calculate button.

FAQs on Gravitational Field of Thin Circular Disc

What is the formula to find Gravitational Field of Thin Circular Disc?

The formula of Gravitational Field of Thin Circular Disc is expressed as Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2). Here is an example- -2.8E-20 = -(2*[G.]*33*(1-cos(1.50796447372282)))/(384000^2).

How to calculate Gravitational Field of Thin Circular Disc?

With Mass (m), Theta (θ) & Distance between Centers (r_c) we can find Gravitational Field of Thin Circular Disc using the formula - Gravitational Field of Thin Circular Disc = -(2*[G.]*Mass*(1-cos(Theta)))/(Distance between Centers^2). This formula also uses Gravitational constant and Cosine (cos) function(s).

Can the Gravitational Field of Thin Circular Disc be negative?

Yes, the Gravitational Field of Thin Circular Disc, measured in Gravitational Field Intensity can be negative.

Which unit is used to measure Gravitational Field of Thin Circular Disc?

Gravitational Field of Thin Circular Disc 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 Thin Circular Disc can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Gravitational Field of Thin Circular Disc Formula

Gravitational Field of Thin Circular Disc Example

Gravitational Field of Thin Circular Disc Solution

Gravitational Field of Thin Circular Disc Formula Elements

Other formulas in Gravitational Field category

How to Evaluate Gravitational Field of Thin Circular Disc?

FAQs on Gravitational Field of Thin Circular Disc

Variable Name