This question is here multiple times but the basic math is skimmed over...leavin
ID: 2032653 • Letter: T
Question
This question is here multiple times but the basic math is skimmed over...leaving me lost. Please explain your answer in full!
Explanation / Answer
Bernoulli:
p1 + ½?(v1)² = p2 + ½?(v2)² + ?gy
(a) The flow rate at both ends must be the same, or
Q = v1*A1 = v1*?(r1)² = v2*?(r2)² = v2*A2, so
v2 = v1(r1/r2)². So
p1 + ½?(v1)² = p2 + ½?(v1)²(r1/r2)? + ?gy
Plug in values:
v1 = 2.4 m/s
(b) v2 = 2.4m/s * (2.7/1.6)² = 6.84 m/s
(c) Q = 6.84m/s * ?(0.016m)² = 0.0055 m³/s
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