# Fasten your belts, part II

Classical Mechanics Level pending

A horizontal platform has radius $$r$$ and is spinning with angular velocity $$\omega$$ in relation to an inertial frame. Suppose $$\omega r << c$$. According to general relativity, any accelerated frame of reference may be compared to a frame of reference that is subjected to a gravitational field. Then, if $$\overrightarrow{\mathrm{F}}(r)$$ is the centripetal force an object feels while on the platform, it may be associated with a potential field $$\varphi(r)$$. So

$\frac{\Delta t(r)}{\Delta t(0)} \approx A + \frac{\varphi(r)}{Bc^{2}}$

where $$\Delta t(r)$$ is the time that passes for an observer at a distance $$r$$ from the center of the platform.

What is $$A + B$$?

×