## anonymous one year ago Suppose a circular platform is rotating at a constant rate of 21.0 revolutions/min. How far away from the centre would one need to stand in order to have a radial acceleration of 9.7 m/s2?

1. anonymous

What is the mathematical relationship that connects rotational motion to radial acceleration?

2. Michele_Laino

the radial acceleration $$a_r$$ has the subsequent magnitude: $\Large {a_r} = {\omega ^2}r$ where $$r$$ is the requested distance, and $$\omega$$ is given by the subsequent computation: $\Large \omega = \frac{{2\pi n}}{{60}} \cong \frac{{6.28 \cdot 21}}{{60}} = ...?$ Of course $$a_r=9.7\;m/s^2$$