Question

question 26
2 pts
what is the discharge of a stream that is 10 feet wide, 5 feet deep, and flowing at 5 feet per second?
20 cubic feet per second
25 cubic feet per second
250 cubic feet per second
1250 cubic feet per second

Explanation:

Step1: Calculate the cross - sectional area

The cross - sectional area \(A\) of a stream (assuming a rectangular cross - section) is given by \(A=\text{width}\times\text{depth}\).
Here, width \(w = 10\) feet and depth \(d=5\) feet. So, \(A = 10\times5=50\) square feet.

Step2: Use the discharge formula

The discharge formula is \(Q = A\times v\), where \(Q\) is the discharge, \(A\) is the cross - sectional area, and \(v\) is the velocity.
We know \(A = 50\) square feet and \(v = 5\) feet per second. Then \(Q=50\times5\).

Answer:

\(250\) cubic feet per second (the third option).