Since F=mv2/r. Does that mean the force required for centripetal acceleration is inversely proportional to the radius? If radius is more the lesser centripetal force is required, is this correct?
I'm tryng to interpretate the law: in the first equation the force, that deviate the particle along the orbit, increases together with the speed if we fix the radius, and it decreases together with the radius if we fix the speed.Now there are 2 formulas for centripetal acceleration. 1. F= mv2/r. So in this formula we know that as radius increases the speed or velocity increases. So the term v2/r remains constant. So how can we prove from this formula that the Centripetal force is more if the radius is more.
But if we take the formula 2. F=mω2r. we can easily prove that as the radius increases the Centripetal force required increases. But this inference cant be derived from the first formula.