Black Hole Mass Calculator

Calculate Black Hole Mass (BHM)

Formula

The formula to calculate the black hole mass (BHM) is:

\[ BHM = \frac{R}{3} \]

Where:

Example

Let's say the radius of the event horizon (\( R \)) is 9000 km. Using the formula:

\[ BHM = \frac{9000}{3} \]

We get:

\[ BHM = 3000 \]

So, the black hole mass (\( BHM \)) is 3000 solar mass units.

What is Black Hole Mass?

The black hole mass is the mass of a black hole, typically measured in solar mass units. It can be estimated using the radius of the event horizon, which is the boundary beyond which nothing, not even light, can escape the gravitational pull of the black hole.

Extended information about "Black-Hole-Mass-Calculator"

Black Hole Mass Formula

Definition: This formula calculates the mass of a black hole based on the radius of its event horizon.

Formula: \( M = \frac{R \cdot c^2}{2 \cdot G} \)

Example: \( M = \frac{10 \cdot (3 \times 10^8)^2}{2 \cdot 6.674 \times 10^{-11}} \)

Mass of a Black Hole Equation

Definition: This equation calculates the mass of a black hole using the orbital velocity and radius of an orbiting object.

Formula: \( M = \frac{r \cdot v^2}{G} \)

Example: \( M = \frac{1 \times 10^6 \cdot (2 \times 10^5)^2}{6.674 \times 10^{-11}} \)

Black Hole Size Calculator

Definition: This calculator helps determine the size of a black hole based on its mass.

Formula: \( R = \frac{2 \cdot G \cdot M}{c^2} \)

Example: \( R = \frac{2 \cdot 6.674 \times 10^{-11} \cdot 5 \times 10^{30}}{(3 \times 10^8)^2} \)

Black Hole Lifetime Calculator by Mass

Definition: This calculator estimates the lifetime of a black hole based on its mass.

Formula: \( t = \frac{5120 \cdot \pi \cdot G^2 \cdot M^3}{\hbar \cdot c^4} \)

Example: \( t = \frac{5120 \cdot \pi \cdot (6.674 \times 10^{-11})^2 \cdot (1 \times 10^{30})^3}{1.054 \times 10^{-34} \cdot (3 \times 10^8)^4} \)