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Unreasonable Results A mountain stream is 10.0 m wide and

Chapter 12, Problem 16

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QUESTION:

Problem 16PE

Unreasonable Results A mountain stream is 10.0 m wide and averages 2.00 m in depth. During the spring runoff, the flow in the stream reaches 100,000 m3/s . (a) What is the average velocity of the stream under these conditions? (b) What is unreasonable about this velocity? (c) What is unreasonable or inconsistent about the premises?

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QUESTION:

Problem 16PE

Unreasonable Results A mountain stream is 10.0 m wide and averages 2.00 m in depth. During the spring runoff, the flow in the stream reaches 100,000 m3/s . (a) What is the average velocity of the stream under these conditions? (b) What is unreasonable about this velocity? (c) What is unreasonable or inconsistent about the premises?

ANSWER:

a.)

Step 1 of 4

The average velocity () of the stream can be calculated using the expression for flow rate and its relation to velocity.

Where, Q = flow rate in m3/s

             A = Area of the stream in m2

             

Area of the stream can be calculated as,

Where, d = depth of the stream in m

             w = width of the stream in m

Substituting 2.0 m for d, 10.0 m for w,

                 

   = 2 m10 m

A= 20 m2

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