Bernoulli's TheoremHardQuestion 30969
Question
A Pitot tube measures fluid speed. Static pressure P₁ and stagnation pressure P₂ give speed as:
- Av = √(2(P₂−P₁)/ρ)Correct
- Bv = √(2(P₁−P₂)/ρ)
- Cv = (P₂−P₁)/ρ
- Dv = √(P₂/ρ)
Correct answer
v = √(2(P₂−P₁)/ρ)
Explanation
At stagnation point, all kinetic energy converts to pressure: P₂ = P₁ + ½ρv². Solving: v = √(2(P₂−P₁)/ρ).