Black Hole Radius Calculator

To calculate the Schwarzschild radius of a black hole, use the formula R = 2GM / c², where G is the gravitational constant, M is the mass of the black hole, and c is the speed of light. For example, a black hole with the mass of the Sun has a Schwarzschild radius of 2.95 km.

A Black Hole Radius Calculator helps determine the Schwarzschild radius, the point at which an object collapses into a black hole. Enter the mass to calculate the radius, providing insight into the size of a black hole’s event horizon.

Formula:

$$R = \frac{2GM}{c^2}$$

Where:

Example Calculation:

Let’s calculate the Schwarzschild radius for a black hole with the mass of the Sun:

• Mass of the Sun, M: $1.989 \times 10^{30} \, \text{kg}$

Using the formula:

$$R = \frac{2 \times 6.67430 \times 10^{-11} \times 1.989 \times 10^{30}}{(3 \times 10^8)^2} = 2.95 \, \text{km}$$

Answer: The Schwarzschild radius for a black hole with the mass of the Sun is 2.95 km.

What is Black Hole Radius Calculator ?

A black hole radius calculator typically uses the Schwarzschild radius formula to determine the radius at which an object becomes a black hole.

For example, to calculate the Schwarzschild radius of a 10 solar mass black hole, you would enter in the mass of the object and calculate the radius. This radius determines the point at which the escape velocity equals the speed of light, effectively forming a black hole.

Using a black hole radius calculator with steps simplifies the process of calculating the size of a black hole based on its mass. It is also used to compute the Schwarzschild radius of Earth, the Sun, or even a human.

Moreover, advanced calculators can factor in concepts like Hawking radiation and rotating black holes for a more detailed analysis of black hole properties.

Understanding the Schwarzschild radius is essential in astrophysics for determining the boundary of a black hole, beyond which not even light can escape.