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

Formula

The formula to calculate the Gravitational Field of Ring (I_ring) is:

\[ I_{ring} = -\frac{G \cdot m \cdot \cos(\theta)}{(a^2 + r_{ring}^2)^2} \]

Definition

Gravitational Field of Ring is the gravitational force experienced by a point mass due to a ring of uniform mass distribution. It is measured in Newton per Kilogram.

Example Calculation

Let's assume the following values:

Mass (m) = 33 Kilogram
Radius of Ring (r_ring) = 6 Meter
Distance from Center to Point (a) = 25 Meter
Theta (θ) = 1.50796447372282 Radian

Using the formula:

\[ I_{ring} = -\frac{6.67408E-11 \cdot 33 \cdot \cos(1.50796447372282)}{(25^2 + 6^2)^2} \approx -3.16516609849568E-16 \]

The Gravitational Field of Ring is approximately -3.16516609849568E-16 Newton per Kilogram.

Conversion Chart

Mass (Kilogram)	Gravitational Field (Newton per Kilogram)
30	0.000000000000000
31	0.000000000000000
32	0.000000000000000
33	0.000000000000000
34	0.000000000000000
35	0.000000000000000
36	0.000000000000000
37	0.000000000000000
38	0.000000000000000
39	0.000000000000000
40	0.000000000000000