RPM Formula:
From: | To: |
Definition: This calculator determines the rotational speed (RPM) based on linear speed, diameter, and a conversion constant.
Purpose: It helps mechanical engineers and technicians calculate the rotational speed of wheels, rollers, or other circular objects moving at a given linear speed.
The calculator uses the formula:
Where:
Explanation: The formula converts linear speed to rotational speed by accounting for the circumference of the rotating object.
Details: Accurate RPM calculation is crucial for proper equipment operation, safety, and performance optimization in mechanical systems.
Tips: Enter the linear speed in mph, diameter in inches, and conversion constant (default 336). All values must be > 0.
Q1: What is the conversion constant (336) derived from?
A: It comes from unit conversions: (5280 ft/mile × 12 in/ft) ÷ (60 min/hour × π) ≈ 336.
Q2: Can I use this for metric units?
A: No, this uses imperial units. For metric, use different constant (1910 for km/h and mm diameter).
Q3: Why is diameter important in RPM calculation?
A: Larger diameters mean fewer rotations are needed to cover the same linear distance.
Q4: What's a typical application for this calculation?
A: Calculating wheel RPM for vehicles, conveyor belt rollers, or any rotating machinery with linear motion.
Q5: How accurate is this calculation?
A: It provides theoretical RPM. Actual RPM may vary due to slippage, load, or other mechanical factors.