Enter the radius of the event horizon (km) into the Black Hole Mass Calculator. The calculator will evaluate and display the Black Hole Mass.
Black Hole Mass Formula
The following formula is used to calculate the Black Hole Mass.
BHM = R / 3
- Where BHM is the Black Hole Mass (solar mass units)
- R is the radius of the event horizon (km)
To calculate the black hole mass, divide the radius of the event horizon by 3.
How to Calculate Black Hole Mass?
The following example problems outline how to calculate Black Hole Mass.
Example Problem #1:
- First, determine the radius of the event horizon (km).
- The radius of the event horizon (km) is given as: 13,000,000.
- Finally, calculate the Black Hole Mass using the equation above:
BHM = R / 3
The values given above are inserted into the equation below and the solution is calculated:
BHM = 13,000,000 / 3 = 4,333,333.33 (solar mass units)
FAQ
What is the significance of the event horizon in a black hole?
The event horizon of a black hole is the boundary beyond which nothing, not even light, can escape its gravitational pull. It marks the point of no return and is significant because it defines the size and shape of the black hole, as well as the point at which the gravitational pull becomes so strong that escape velocity exceeds the speed of light.
How is the mass of a black hole related to its gravitational pull?
The mass of a black hole directly influences its gravitational pull. A black hole’s gravity is so strong because its mass is compressed into a very small space. This concentration of mass in a compact area creates a strong gravitational field that can attract nearby objects and even light if they get too close to the event horizon.
Can the mass of a black hole change over time?
Yes, the mass of a black hole can change over time. Black holes can gain mass by absorbing other objects that get too close, such as stars, gas, and dust. Additionally, through a process known as Hawking radiation, black holes can also lose mass, although this process is very slow and has a more significant impact on smaller black holes.
