Question

A gear pump has a gear OD of 2.5 inches, a gear ID of 1.75

inches and a width of 1.5 inches. The displacement of this pump
is:
A. 0.79 in³/rev
B. 2.5 in ³/ rev
C 3.76 in³/rev
D 3.19 in³/rev

Answer 1

The displacement of the gear pump is 3.19 in³/rev.

Step-by-step explanation:

A gear pump is a type of positive displacement pump that uses the meshing of gears to pump fluid. In order to find the displacement of the pump, we need to calculate the volume of fluid swept by the gears in one revolution. This can be done by subtracting the volume of the gear ID from the volume of the gear OD and then multiplying by the width of the gear.

The formula for calculating the displacement of the gear pump is:

Displacement = (Gear OD2 - Gear ID2) * Width * π/4

Using the given values, the displacement of the pump is:

Displacement = (2.52 - 1.752) * 1.5 * π/4 = 3.19 in³/rev