Question:

A double action reciprocating pump has length of stroke 'L' metre, area of cross section 'A' m². What will be the discharge 'Q' m³/s from the pump, if the crank speed is 'N' RPM?

Show Hint

Double-acting pump: Q = \(\frac{2LAN}{60}\).
Factor 2 for double action.
  • LAN
  • 2 LAN
  • \(\frac{60LN}{A}\)
  • \(\frac{2LAN}{60}\)
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
Double action pumps have specific discharge formulas.
The discharge is calculated from pump dimensions and speed.

Step 2: Key Formula or Approach:

Discharge (Q) = \(\frac{2 \times A \times L \times N}{60}\).

Step 3: Detailed Explanation:

For a double-acting reciprocating pump:
- Discharge per revolution = 2 \(\times\) A \(\times\) L.
- Discharge per second = (2 \(\times\) A \(\times\) L \(\times\) N) 60.
Where N is in RPM.
Thus, Q = \(\frac{2LAN}{60}\).

Step 4: Final Answer:

The discharge is \(\frac{2LAN}{60}\).
Hence, the correct option is (D).
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