RPM Formula:
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Definition: This calculator determines the rotational speed (RPM) of a wheel or roller based on its linear speed and diameter.
Purpose: It helps mechanical engineers, automotive technicians, and equipment operators understand the relationship between linear speed and rotational speed.
The calculator uses the formula:
Where:
Explanation: The constant 336 converts miles per hour to inches per minute (5280 ft/mile × 12 in/ft ÷ 60 min/hour = 1056, then 1056 ÷ π ≈ 336).
Details: Proper RPM calculation ensures optimal equipment performance, prevents mechanical stress, and helps in gear ratio selection.
Tips: Enter the speed in mph, diameter in inches, and constant (default 336). All values must be > 0.
Q1: Why is the constant 336?
A: It combines unit conversions (mph to inches/minute) and division by π to simplify the circumference calculation.
Q2: Can I use this for metric units?
A: No, this formula is for imperial units. For metric, use different constant (1000 × 60 ÷ π ≈ 19100 for km/h and mm).
Q3: What affects RPM accuracy?
A: Tire wear, inflation pressure, and surface conditions can cause slight variations from calculated RPM.
Q4: How do I measure diameter accurately?
A: Measure from ground to axle center and multiply by 2 for loaded diameter, or measure circumference and divide by π.
Q5: Does this work for all rotating objects?
A: Yes, as long as you have accurate speed and diameter measurements for any wheel, roller, or circular component.