Here’s a solved example of calculating tip speed:

Example:

A centrifugal pump has an impeller diameter of 24 inches (0.6096 meters) and operates at 1750 rpm.

Calculate Tip Speed:

Tip Speed (m/s) = π × Diameter (m) × Rotational Speed (rpm) / 60

Conversion:

1 inch = 0.0254 meters
Diameter (D) = 24 inches × 0.0254 m/in = 0.6096 m
Rotational Speed (N) = 1750 rpm

Calculation:

Tip Speed = π × 0.6096 m × (1750 rpm / 60)
= 3.14159 × 0.6096 m × 29.17 rps
= 53.05 m/min
= 0.885 m/s

Alternative Units:

Tip Speed (ft/s) = 2.91 ft/s
Tip Speed (mph) = 1.97 mph

Interpretation:

The centrifugal pump’s impeller tip speed is approximately 0.885 m/s or 2.91 ft/s.

Practical Application:

This calculation helps engineers:

1. Evaluate pump efficiency
2. Determine suction and discharge velocities
3. Assess erosion and wear potential
4. Optimize pump design and operation

Key Points:

1. Consistent units are crucial.
2. Verify diameter measurement.
3. Confirm rotational speed.

Do you have any specific questions about this example?

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