A Pitot tube measurement yields dynamic head Δh = 2.5 m; compute flow velocity V.

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Multiple Choice

A Pitot tube measurement yields dynamic head Δh = 2.5 m; compute flow velocity V.

Explanation:
Pitot tube readings give the velocity head, which is the dynamic pressure head. This means the measured dynamic head Δh is related to the flow velocity by Δh = V^2/(2g). To find V, you solve for V = sqrt(2 g Δh). With Δh = 2.5 m and g ≈ 9.81 m/s^2, compute 2 g Δh = 2 × 9.81 × 2.5 ≈ 49.05. The square root of 49.05 is about 7.0 m/s. Using a common g value like 9.8 gives essentially the same result: V ≈ 7.0 m/s. So the velocity corresponding to that dynamic head is approximately 7.0 m/s.

Pitot tube readings give the velocity head, which is the dynamic pressure head. This means the measured dynamic head Δh is related to the flow velocity by Δh = V^2/(2g). To find V, you solve for V = sqrt(2 g Δh).

With Δh = 2.5 m and g ≈ 9.81 m/s^2, compute 2 g Δh = 2 × 9.81 × 2.5 ≈ 49.05. The square root of 49.05 is about 7.0 m/s. Using a common g value like 9.8 gives essentially the same result: V ≈ 7.0 m/s.

So the velocity corresponding to that dynamic head is approximately 7.0 m/s.

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