According to Bernoulli's equation, the pressure in a fluid will tend to decrease if its velocity increases. Assuming that a wind speed of 1 m/s causes a pressure drop of 0.645 Pa, what pressure drop is predicted by Bernoulli's equation for a wind speed of 5 m/s?
A) 1.29 Pa
B) 1.94 Pa
C) 3.325 Pa
D) 16.125 Pa

Question

Quizplus · Accepted Answer

Bernoulli's equation implies that the pressure drop is proportional to the square of the velocity. Given that a wind speed of 1 m/s causes a pressure drop of 0.645 Pa, a wind speed of 5 m/s (which is 5 times greater) would cause a pressure drop of $0.645 \times 5^2 = 0.645 \times 25 = 16.125$ Pa.

According to Bernoulli's Equation, the Pressure in a Fluid Will