A system has the same velocity profile but a depth of 10 feet. The average velocity of the stream with a depth of 10 feet is the stream with a depth of 6 feet. a. Greater than
b. Less tharn
c. The same as
d. The answer cannot be determined with the given information.

The average velocity of the stream with a depth of 10 feet is greater.

(a) is correct option.

Explanation:

Given that,

Depth

Depth

We need to calculate the average velocity of the stream

According to question,

The velocity for first case,

The velocity for second case,

For the same velocity profile,

Then,

Put the value into the formula

The velocity is

We need to calculate the average velocity for first case

Using formula of average velocity

Put the value into the formula

We need to calculate the average velocity for second case

Using formula of average velocity

Put the value into the formula

If then

So, we can say that the average velocity of the stream with a depth of 10 feet will be greater than the stream with a depth of 6 feet.

Hence, The average velocity of the stream with a depth of 10 feet is greater.

(a) is correct option.