In the laboratory, you are trying to put pennies on a rotating platform so that they don't slide off. Your partner tells you, "Pennies on the outside stay on better because \(a_{\mathrm{c}}=v^{2} / r\). For larger \(r\), the centripetal acceleration is less, and so the frictional force has an easier time holding a penny in place out there." Is his reasoning correct?