A landscape architect is planning an artificial waterfall in a city park. Water

Question

A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.60 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 3.75 m high, and from there the water falls into a pool (see figure). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume that the average pedestrian walkway is 1 m wide.) Yes No (b) To sell her plan to the city council, the architect wants to build a model to a scale, which is one-seventeenth actual size. How fast should the water flow in the channel in the model? 0.28 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s A landscape architect is planning an artificial waterfall in a city park. Water flowing at 1.60 m/s will leave the end of a horizontal channel at the top of a vertical wall h 3.75 m high, and from there the water falls into a pool (see figure). (a) Will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume that the average pedestrian walkway is 1 m wide.) Yes No (b) To sell her plan to the city council, the architect wants to build a model to a scale, which is one-seventeenth actual size. How fast should the water flow in the channel in the model? 0.53 Your response differs from the correct answer by more than 10%. Double check your calculations. m/s

Explanation / Answer

1.a

The range of the waterfall is: R= u*t = 1.6*sqrt(2*h/g)= 1.4 m.

So there will be space.

b. Clearing = 1.4/7 = .2 m

Height = 3.75/7 m

.2 = u*sqrt(2*3.75/9.8*7)

So, u = .56 m/sec

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