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Air flows steadily through a horizontal 4 in diameter pipe. What is the velocity of the air?

A. 16 m/s
B. 8 m/s
C. 4 m/s
D. 2 m/s

1 Answer

2 votes

Final answer:

The velocity of the air cannot be determined without knowing the flow rate.

Step-by-step explanation:

The velocity of the air can be found using the equation:

v = Q / A

Where v is the velocity, Q is the flow rate, and A is the cross-sectional area of the pipe.

In this case, the diameter of the pipe is given as 4 inches, which is equivalent to 10.16 cm. We can calculate the cross-sectional area using the formula:

A = pi * r2

Where r is the radius of the pipe, which is half the diameter.

Substituting the values, we get:

A = pi * (10.16 / 2)2

Now we can solve for v using the flow rate, which is not provided in the question. Therefore, we cannot determine the velocity without knowing the flow rate.

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