Chapter 8.8, Problem 26E

(a)

To determine

To show: The velocity , $v\approx \sqrt{\frac{gL}{2\pi }}$ if the water is deep.

(b)

To determine

To show: If the water is shallow then the velocity is $v\approx \sqrt{gd}$ using Maclaurin series for tanh.

(c)

To determine

To show: The estimate $v^2\approx gd$ is accurate to within 0.014gL if $L>10d$.