A simplex pump making 60 pumping strokes per...

Question 1 of 270705eccef9bbacbc34ba4d45503

A simplex pump making 60 pumping strokes per minute has a 10 inch stroke and a 6 inch diameter water cylinder, which is 75% full for each stroke. How many gallons of water are discharged per hour?

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Question 1 of 27070

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A simplex pump making 60 pumping strokes per minute has a 10 inch stroke and a 6 inch diameter water cylinder, which is 75% full for each stroke. How many gallons of water are discharged per hour?

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🔍 Key Concepts

• Volumetric displacement of a cylinder: $V = \pi r^2 h$ and converting inches to feet • Pump capacity per minute and per hour: strokes per minute × volume per stroke, then to gallons per hour • Effect of the pump being 75% full on each stroke

💭 Think About

• First, compute the volume of water moved in one stroke using the cylinder dimensions. Are you using radius or diameter in the area formula? • After finding cubic inches per stroke, how do you convert that to gallons and then to gallons per hour given the strokes per minute? • Where in the calculation do you apply the 75% full factor, and how does that change the final flow rate compared to a 100% full stroke?

✅ Before You Answer

• Be sure you convert diameter to radius correctly before calculating area: radius = diameter ÷ 2 • Confirm you are using the correct conversion: 231 cubic inches = 1 gallon • Don’t forget to multiply by strokes per minute and then by 60 minutes to get gallons per hour