Question

Problem 16.85 A water wave is a shallow-water wave if the water depth d is less than λ/10. It is shown in hydrodynamics that the speed of a shallow-water wave is /gd, so waves slow down as they move into shallower water. Ocean waves, with wavelengths of typically 110 m, are shallow-water waves when the water depth is less than 11 m Consider a beach where the depth increases linearly with distance from the shore until reaching a depth of 5.2 n at a distance of 110 m ▼Part How shore Expr

Answer 1

plz rate

Having similarities d = 5.2/110 x = 0.0473 x v = squareroot gd = squareroot g (0.0473 x) = 0.2174 squareroot gx dx/dt = 0.2174 squareroot gx integral^0_110 dx/squareroot x = 0.68057 (t)^t_0 t^-2 [x^1/2]^0_110 = 0.68057 (t) 2 times squareroot 100/0.68057 t = 30.8215 s