Question

water is flowing through a horizontal pipe. which of the following is true?

the pressure in the fluid in section 1 is greater than in section 2.

the pressure in the fluid in section 2 is greater than in section 1.

the pressure in the fluid in section 1 and 2 is the same.

a fluid flowing in a pipe with a uniform cross - sectional area changes elevation. which of the following

Explanation:

Step1: Apply Bernoulli's equation

For a horizontal pipe, \(y_1 = y_2\). Bernoulli's equation is \(P_1+\frac{1}{2}
ho v_1^{2}=P_2+\frac{1}{2}
ho v_2^{2}\). Since the fluid accelerates (\(v_1>v_2\)), we can rearrange the equation.

Step2: Analyze pressure - velocity relationship

From \(P_1+\frac{1}{2}
ho v_1^{2}=P_2+\frac{1}{2}
ho v_2^{2}\), we get \(P_2 - P_1=\frac{1}{2}
ho(v_1^{2}-v_2^{2})\). Because \(v_1 > v_2\), \(\frac{1}{2}
ho(v_1^{2}-v_2^{2})>0\), so \(P_2>P_1\)

Answer:

The pressure in the fluid in section 2 is greater than in section 1.