RPM Output Formula:
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Definition: This calculator determines the output RPM of a driven sprocket based on input RPM and the tooth ratio between drive and driven sprockets.
Purpose: It helps mechanical engineers, bike mechanics, and machinery operators understand gear ratios and speed changes in chain drive systems.
The calculator uses the formula:
Where:
Explanation: The output speed is directly proportional to the ratio of drive teeth to driven teeth.
Details: Proper sprocket ratio calculation ensures optimal power transmission, speed control, and mechanical efficiency in chain-driven systems.
Tips: Enter the input RPM, number of teeth on the drive sprocket, and number of teeth on the driven sprocket. All values must be > 0.
Q1: What happens if I use a larger driven sprocket?
A: A larger driven sprocket (more teeth) will decrease the output RPM, resulting in slower speed but potentially more torque.
Q2: How does this affect torque?
A: Torque is inversely proportional to speed changes - when RPM decreases, torque increases, and vice versa.
Q3: What's a typical sprocket ratio for bicycles?
A: Common ratios range from 2:1 to 4:1, depending on the desired speed and pedaling effort.
Q4: Can I use this for belt drives too?
A: Yes, the same principle applies to belt drives when using pulleys with different diameters.
Q5: What if my drive sprocket is smaller than driven?
A: This creates a "reduction" ratio, decreasing output RPM while increasing torque.