Water flows down the face of the dam shown in Fig. P4.43. The face of the dam consists of two circular arcs with radii of 10 and \(20 \mathrm{ft}\) as shown. If the speed of the water along streamline A-B is approximately \(V=(2 g h)^{1 / 2}\), where the distance \(h\) is as indicated, plot the normal acceleration as a function of distance along the streamline, \(a_{n}=a_{n}(s)\).

Figure P4.43

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4 ft T JA R = 10 ft h 20 R = 20 ft B