# How do you find the Schwarzschild radius of a black hole?

## How do you find the Schwarzschild radius of a black hole?

This phenomenon is thought to be the final fate of the more massive stars (see black hole). The Schwarzschild radius (Rg) of an object of mass M is given by the following formula, in which G is the universal gravitational constant and c is the speed of light: Rg = 2GM/c2.

## How do you calculate the size of a black hole?

The radius of a black hole is related to its mass by the simple formula R = 3 M ,where M is the mass of the black hole in units of the sun’s mass, and R is the radius of the Event Horizon in kilometers.

How do you calculate the gravitational force of a black hole?

derived the formula for gravitational force acting between black hole and the light particles on the basis of Newton’s universal laws of gravitation (F = Gm1m2/r2) using Einstein’s mass-energy equivalence relation (E = mc2), quantum theory of radiation (E = hν) and Schwarzschild radius for Non-spinning and spinning …

How do you calculate the escape velocity of a black hole?

The escape velocity of Earth is v=√2GMR, where M is the mass of the Earth and R it’s radius (approximating it as a sphere), and is much less than light speed c.

### How do you calculate gravitational force?

To calculate the force of gravity of an object, use the formula: force of gravity = mg, where m is the mass of the object and g is the acceleration of the object due to gravity. Since g is always 9.8 m/s^2, just multiply the object’s mass by 9.8 and you’ll get its force of gravity!

### How do you calculate the orbital velocity of a black hole?

The orbital period t of an object in circular orbit at radius r from a black hole of mass M , as measured by an outside observer (at infinity), is given precisely by Kepler’s third law, GMt2(2π)2=r3 . G M t 2 ( 2 π ) 2 = r 3 .

How do you calculate the evaporation time of a black hole?

The derivation of life time formula for black holes: τlife=256π3k4B3Gσℏ4(GM)3=(2.095×1067year)(MM⊙)3. This is much greater than the age of the universe!

Can radio waves escape a black hole?

Beyond the photon sphere lies the event horizon of the black hole, the boundary that marks where not even light can escape the warping of space that the black hole creates. All electromagnetic radiation passing the event horizon is unobservable.

#### How do you calculate exit velocity?

Average Exit Velocity (aEV) is calculated by dividing the sum of all Exit Velocities by all Batted Ball Events.

#### How is the formula for escape velocity derived?

Derivation of Escape Velocity

1. Derivation of Escape Velocity:
2. Escape Velocity Formula:
3. Derivation:
4. Now, the work done against the gravitational attraction to take the body from the planet’s surface to infinity can be easily calculated by integrating the equation for work done within the limits x=R to x=∞.
5. K.E. = W.

Does Spaghettification hurt?

Either way, spaghettification leads to a painful conclusion. When the tidal forces exceed the elastic limits of your body, you’ll snap apart at the weakest point, probably just above the hips. You’ll see your lower half floating next to you, and you’ll see it begin to stretch anew as tidal forces latch onto it.