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Gear Ratio Formula:
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Gear ratio calculation by counting teeth is a fundamental mechanical engineering concept that determines the relationship between input and output speeds and torques in a gear system. It represents how many times the driven gear rotates for each rotation of the driver gear.
The calculator uses the gear ratio formula:
Where:
Explanation: The formula calculates how many revolutions the driver gear must make to turn the driven gear once completely.
Details: Gear ratios are crucial in mechanical design for determining speed reduction/increase, torque multiplication, and mechanical advantage in various applications from automotive transmissions to industrial machinery.
Tips: Enter the number of teeth on both the driven and driver gears. Values must be positive integers greater than zero. The result shows the ratio of driven rotations to driver rotations.
Q1: What does a gear ratio greater than 1 indicate?
A: A ratio greater than 1 indicates speed reduction and torque multiplication - the driven gear rotates slower than the driver gear but with more torque.
Q2: What does a gear ratio less than 1 indicate?
A: A ratio less than 1 indicates speed increase and torque reduction - the driven gear rotates faster than the driver gear but with less torque.
Q3: How is gear ratio related to mechanical advantage?
A: The gear ratio directly corresponds to mechanical advantage - a higher ratio means greater torque output relative to input torque.
Q4: Can this calculation be used for compound gear systems?
A: For compound gear systems, you would calculate the ratio for each gear pair and multiply them together to get the overall ratio.
Q5: What's the difference between gear ratio and velocity ratio?
A: For ideal gears without slip, gear ratio and velocity ratio are identical. Both represent the relationship between input and output rotational speeds.