Part B: A pressure gauge reads 50 kPa as water flows at 11.0 m/s through a 16.8-cm-diameter horizontal pipe. What is the reading of a pressure gauge after the pipe has expanded to 23.0 cm in diameter? (Hint: find p1 by using the equation found in Part A)

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Part B: A pressure gauge reads 50 kPa as water flows at 11.0 m/s through a 16.8-cm-diameter horizontal pipe. What is the reading of a pressure gauge after the pipe has expanded to 23.0 cm in diameter? (Hint: find p1 by using the equation found in Part A)
**Part A**

A liquid of density \( \rho \) flows at speed \( v_0 \) through a horizontal pipe that expands smoothly from diameter \( d_0 \) to a larger diameter \( d_1 \). The pressure in the narrower section is \( p_0 \). Find an expression for the pressure \( p_1 \) in the wider section.

Express your answer in terms of the variables \( p_0, \rho, v_0, d_0, \) and \( d_1 \).

\[ p_1 = \]
Transcribed Image Text:**Part A** A liquid of density \( \rho \) flows at speed \( v_0 \) through a horizontal pipe that expands smoothly from diameter \( d_0 \) to a larger diameter \( d_1 \). The pressure in the narrower section is \( p_0 \). Find an expression for the pressure \( p_1 \) in the wider section. Express your answer in terms of the variables \( p_0, \rho, v_0, d_0, \) and \( d_1 \). \[ p_1 = \]
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