Both existing centrifugal cooling water...

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Question 1 of 205eccef9bbacbc34ba4d4549a

Both existing centrifugal cooling water pumps will be replaced by two of a higher GPM. Only one pump is used in normal operation and there will be no modifications to their discharge piping. This is an operational concern since increased velocity will increase pipe erosion. What is the fluid velocity in feet/minute in the discharge piping with new pumps, given the following data?

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🔍 Key Concepts

• Continuity relationship for incompressible flow: volumetric flow rate = velocity × cross‑sectional area • Unit conversions: gallons per minute (GPM) to cubic feet per minute, and inches to feet for pipe diameter • The discharge pipe cross‑sectional area stays the same because the piping is not modified

💭 Think About

• How do you express volumetric flow rate Q (in ft³/min) in terms of GPM, and what constant converts gallons to cubic feet? • Once you know the inside diameter of the discharge pipe, how do you calculate its cross‑sectional area in square feet? • After you have Q in ft³/min and area A in ft², what simple formula relates Q, A, and velocity V, and how do you solve it for V?

✅ Before You Answer

• Be sure to convert GPM to ft³/min before using it in the velocity formula • Make sure the pipe diameter is converted from inches to feet before computing area • Check that your final velocity has units of ft/min, not ft/sec; adjust by multiplying or dividing by 60 if needed

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