Question

II) Water flows with an average speed of 3.0 m/s through a section of a stream that is 30 m wide and 1.0 m deep. The water then enters a 15 m wide section where the average speed of the water is 2.0 m/s. How deep is that 15 m wide section of stream (3 points)?

Answer 1

The 15 m wide section of the stream is 3 m deep.

Step-by-step explanation:

The Flow rate of the water remains constant throughout.

Flow rate = Velocity x depth x width

Flow rate = (3)(30)(1)

`Flow rate = 90 m^3 /s`

Now the depth,width and velocity of the flow stream has changed but the flow rate still remains same. So,

`Flow rate = 90 m^3 /s`

Assuming depth to be D,

90 = (2)(15)(D)

D = 3 m