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Unreasonable Results A mountain stream is 10.0 m wide and
Chapter 12, Problem 16(choose chapter or problem)
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?
Questions & Answers
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