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Which of the following equations represents Bernoulli's principle?
Which of the following equations represents Bernoulli's principle?
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Practice Questions
1 question
Q1
Which of the following equations represents Bernoulli's principle?
P + 1/2 ρv² + ρgh = constant
P = ρgh
F = ma
V = IR
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Bernoulli's principle is represented by the equation P + 1/2 ρv² + ρgh = constant, relating pressure, velocity, and height in a fluid.
Questions & Step-by-step Solutions
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Q
Q: Which of the following equations represents Bernoulli's principle?
Solution:
Bernoulli's principle is represented by the equation P + 1/2 ρv² + ρgh = constant, relating pressure, velocity, and height in a fluid.
Steps: 7
Show Steps
Step 1: Understand that Bernoulli's principle deals with fluids (liquids and gases).
Step 2: Know that the principle relates three main factors: pressure (P), velocity (v), and height (h) of the fluid.
Step 3: Recognize that the equation combines these factors into one formula.
Step 4: The equation is: P + 1/2 ρv² + ρgh = constant.
Step 5: In this equation, ρ represents the density of the fluid.
Step 6: The term 1/2 ρv² represents the kinetic energy per unit volume of the fluid.
Step 7: The term ρgh represents the potential energy per unit volume due to height.
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