cf = m v^2 / r
v is tangential velocity ... not angular
doubling r halves the cf
... with everything else constant
What effect does doubling the radius of the circle that an object travels have on its centripetal force, if everything else is constant?
I think it should double centripetal force, but that is marked wrong, even though I used a test case. My test case was 22kg mass, 1.25-2.5m radius, and 4.19 rad/sec angular velocity.
Why is my answer wrong?
4 answers
BUT v = omega R
I assume it is omega, not v that is constant here
another way to look at it is
Ac = centripetal acceleration
= omega^2 R
where omega is the angular velocity which does not change in this example.
then
Ac = omega^2 * 2 R
And I think your answer was correct
I assume it is omega, not v that is constant here
another way to look at it is
Ac = centripetal acceleration
= omega^2 R
where omega is the angular velocity which does not change in this example.
then
Ac = omega^2 * 2 R
And I think your answer was correct
yes, "everything else" is certainly ambiguous
but the answer was marked wrong
the originator of the question will have the final say
good luck
but the answer was marked wrong
the originator of the question will have the final say
good luck
The issue is "everything else"..does that include angular velocity, or velocity? Your teacher was very sloppy in writing this question. I hope that is not a common occurance.
0 answers