Question

Please help with Parts A-C Thank You!

Engineers use a venturi meter to measure the speed of a fluid traveling through a pipe (Figure 1). Positions 1 and 2 are in pipes with surface areas A1 and A2 with A1 greater than A2 and are at the same vertical height. Assume the density of water is p. Figure < 1 of 1 h 2

Answer 1

Soluhion: V1. Parst A Total pressue at i (P) P Pah Total pressure at 2 (P) Pot Pah,-P+ Pgh P- P 2 PPah- P-Paha Pah- Pah

2 Hence, Pah the poessure ditference behween positions 1 and 2 - Answes p= density the Liquid Hese, : accelarsation due to gviy h= h-h differsence in the the heights As the Liguid in the two columns height o Liguid above the position 1 height ipid above the posiion 2

Parst B 3 Using Equaton s Contimuity A,Vi A1 A .. equation (i) V2 From Besnoulli Equahon we know that P+ Pah ev constant age at he same Here, Posions 1 and 2 height

Therefore, positions 1 and 2 P+ev2 Constant Pv ev: P-P bom Parst : eah v-V2 29h ALV puting VAr feum equatun (D) A A2 v229h AZ Ai - ) AZ 2gh "ব

2 A, AL A2 Answer Parst C puting the value V, in eguation , weget 2gh A, V2 Az 422 2h A, 2 A2 2 X A,2 23h A A2 Answes