A new type of flow meter is shown in Figure P11.18. In it we read the two pressure gauges and the force on the pipe bend (using strain gauges). From those three readings we compute the fluid velocity in the pipe. The pipe diameter, the diameter of the couplings, and the diameter of the bend are all \(2.54 \mathrm{~cm}\). The fluid flowing through the system is water at room temperature. \(P_{1}\) reads \(150,000 \mathrm{~Pa}\) (gauge) and \(P_{2}\) reads \(130,000 \mathrm{~Pa}\) (gauge). The restraining force, measured by the strain gauge, is \(200.2 \mathrm{~N}\) and acts in the \(-x\)-direction. Assume gravity has no effect on the system. What is the fluid velocity in the pipe?

Transcribed Image Text:

FIGURE P11.18 Flow P L P, Anchoring Force