Gear Ratio Formula:
From: | To: |
Definition: This calculator determines the gear ratio needed for hydraulic motor applications based on motor RPM, tire diameter, vehicle speed, and final drive ratio.
Purpose: It helps engineers and technicians properly size hydraulic motors and gear systems for vehicles and machinery.
The calculator uses the formula:
Where:
Explanation: The formula calculates the ratio between motor speed and wheel speed, accounting for tire size and any existing gear reduction.
Details: Proper gear ratio selection ensures optimal motor performance, efficiency, and prevents overloading of hydraulic systems.
Tips: Enter motor RPM, tire diameter in inches, desired vehicle speed in MPH, and final drive ratio (default 1.0). All values must be > 0.
Q1: What's the significance of the 336 constant?
A: It combines unit conversions (inches to miles, hours to minutes) and π (pi) into a single constant for simplicity.
Q2: How do I measure tire diameter accurately?
A: Measure from ground to top of tire, multiply by 2. Or check manufacturer specs for "rolling diameter."
Q3: When would I change the final drive ratio?
A: If your system already has gear reduction (like in differentials), input that ratio here.
Q4: What's a typical gear ratio range?
A: Most hydraulic applications use ratios between 5:1 to 20:1, depending on torque requirements.
Q5: Does this account for motor efficiency?
A: No, consider motor efficiency (typically 80-90%) separately when sizing the hydraulic system.