Verify the relation F = m(v^2/r)

[VitaX]

Homework Statement

Use your knowledge of forces to verify the relation F = m(v^2/r)

Homework Equations

None, I think

The Attempt at a Solution

Not sure how to go about verifying this. The only relationship I know of is that a = v^2/r

 

[PhanthomJay]

You also know Newton's 2nd law, don't you?

 

[VitaX]

You also know Newton's 2nd law, don't you?

F = ma ; but isn't this wanting me to explain how v^2/r = a ?

 

[PhanthomJay]

I don't know. If it is, you have to use vector calculus that derives the centripetal acceleration in terms of a velocity that is changing direction as a particle moves along a curved path of radius r. I suppose you can google it. It was 40 years ago when I last looked at the derivation...not too complicated as I recall.

 

[VitaX]

I don't know. If it is, you have to use vector calculus that derives the centripetal acceleration in terms of a velocity that is changing direction as a particle moves along a curved path of radius r. I suppose you can google it. It was 40 years ago when I last looked at the derivation...not too complicated as I recall.

http://www.practicalphysics.org/go/Guidance_156.html;jsessionid=alZLdQlAHb1?topic_id=3&collection_id=117 is it this?

 

[PhanthomJay]

Thanks..method B was the way I remembered it (and taught it for one year)...time goes by...

 

[VitaX]

I found a better source :