Question

In centripetal motion
how is tension and speed related.
thanks

Answer 1

Centripetal force, Fc, acts towards centres. Imagine a ball on a string spinning round in a big circle. Something keeps it from flying off, that's the centripetal force. You may say "its just the tension in the string", and you're absolutely right. So the centripetal force = the tension ,Ft, in the string, \[F _{c} = F_{t}\] Now we have linked tension and centripetal force, if we can link speed and centripetal force we win. And unsurprisingly there is a link: \[F _{c} = \frac{m \times {v^2}} {{r}}\] Where m and r are mass and radial distance. Replacing the centripetal forces with tension gives \[F _{t} = \frac{m \times {v^2}} {{r}}\] Now how are the two related. Well velocity, v, is on the top of the fraction, meaning as velocity increases, the tension must increase. Not only is it on the top, its also squared. So twice the velocity, needs four times the tension in the string.

Answer 2

thank you
alot
:)

Answer 3

completely welcome