Gecko wrote:I am sorry, Ciro, but the integrals you mention make no sense. The power needed to stop a rotating object can be arbitrary (it just takes longer with less power), and the actual energy needed depends only on the moment of ineria and the angular velocity of the object. And for a moving object, how can the expression for power depend on power itself (not to mention that even the basic units are wrong)?
You are right, Gecko. I tried to cut and paste from another thread by pRo and, when I couldn't, I ended writing it again in a hurry. I think, from the top of my head that the integrals are like this:
- For a rotating object, the power you can use from its energy is the integral of the torque with respect to rpm.
- For a moving object, the power needed to accelerate is the double integral of acceleration with respect to time and space.
Besides, you are right spotting another error: it is the energy needed to stop a rotating object what is constant.
Anyway, I haven't had the time today to write the equations. Until I do (or I get "Vehicle dynamics" from my office) I might well have made another mistake. Sorry, this is what happens when you "don't do your homework". Would you believe me I say I've been really busy today and I am trying to distract myself a little between recalculations being made in my computer?
