Sign in to follow this  
Arthur d. S. Jr.

How Far Away are You Safe from Spaghettification?

Recommended Posts

I was wondering, If you're near to a blackhole... how far away minimum you have to be from it to be pulled towards it at a considerable strength, but not strongly enough to be stretched or ripped apart, in other words, alive and in one piece yet. How can I calculate that? Is there a formula, or a way to know it?

 

Thanks;

Arthur

Share this post


Link to post
Share on other sites
Raider5678    28

gravityequation.png

 

F = Magnitude of the force of gravity

R = Distance between the two objects.

m1 = Object ones mass

m2 = Object twos mass

G = Gravitation Constant.

 

I'm not sure how high F has to be for spagettification to occur, but there's the formula.

Edited by Raider5678

Share this post


Link to post
Share on other sites
Janus    706

It depends on the mass of the black hole. Tidal force decreases by the cube of the distance while acceleration due to gravity decreases by the square.

 

So lets say you have a black hole of mass M and you are a distance of R from it. You will feel a certain value of gravitational acceleration towards it and a certain value of tidal force stretching you.

 

Quadruple M and and double R. You will feel exact the same acceleration towards M (4 x 1/2^2 =1) but only 1/4 the tidal force (4 x 1/2^3 = 1/4)

Share this post


Link to post
Share on other sites
MigL    527

Not to take anything away from Janus' excellent explanation...

But if the BH is small enough so that you can get close enough to it, once the gravitational differential between your head and feet exceeds the 'tensile' strength of your body, it will get stretched or 'spaghettified'.

In effect, once the difference provided by 1/r^2 over approx. 6 ft is strong enough to tear you apart.

This can be well outside the event horizon for a small BH, and well inside the event horizon for a large BH.

Edited by MigL

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!

Register a new account

Sign in

Already have an account? Sign in here.

Sign In Now

Sign in to follow this