You are standing beneath a Ferris wheel when two children riding in cars on opposite sides of the wheel both scream at \(600 \mathrm{~Hz}\). Your well-trained ears notice a beat frequency that is maximum when one child is moving directly toward you and the other is moving directly away from you. The Ferris wheel takes \(24.0 \mathrm{~s}\) to complete one rotation, and its diameter is \(27.0 \mathrm{~m}\). You begin to wonder whether a Doppler shift could produce observable beats under these circumstances.