Gear Ratio Calculator
Calculate gear ratios, speed ratios, and mechanical advantage for spur, helical, and bevel gears. Step-by-step solutions for engineering and mechanical design.
Gear Ratio calculator:
This Gear Ratio Calculator uses gear ratio, speed of the rotating machine, and torque of the rotating machine. Use the number of teeth, or enter the speed, to use step-by-step solutions to compute gear performance.
Mechanical Gear Ratio Tools formula
The Gear Ratio Calculator assists engineers, students, and technicians in calculating gear ratios, speed ratios, and mechanical advantages in gears. Gear ratio: The gear ratio is the ratio of the teeth of the driven gear to those of the driving gear:
The user can key the number of teeth on the driver and driven gears, key speed, or key mechanical advantage. The The calculator takes the gear ratio, output speed,d, and torque, and gives step-by-step solutions to the spur gear system. helical gear system, bevel gear system, and finally, the compound gear system.
\[ \textrm{Gear Ratio} = \frac{N_{driven}}{N_{driver}} \]
Gear teeth, speed, and torque are shown to interact step-by-step, and it is straightforward to design gearboxes, mechanical transmissions, and automotive gear systems. SI units are welcomed: RPM speed, N.m. torque. The tool is best suited to mechanical engineers, automotive designers, and students, and can be used to analyze and design mechanical gear systems with the correct accuracy.
Work & Installation — Input to Output Summary
Input:
- Number of teeth of driver gear (N_driver)
- Number of teeth of driven gear (N_driven)
- Optional: input speed (RPM)
- Optional: input torque (N·m)
Processing:
- Compute gear ratio: GR = N_driven / N_driver
- Compute output speed: RPM_out = RPM_in / GR
- Compute output torque: T_out = T_in × GR
- Validate input values and units
Output:
- Gear ratio (GR)
- Output speed (RPM_out)
- Output torque (T_out)
- Step-by-step formulas and calculations
Testing and Final Adjustments
Test examples:
- Spur gear: N_driver = 20, N_driven = 60 → GR = 3, speed reduced by 3×, torque multiplied by 3
- Helical gear: N_driver = 15, N_driven = 45 → GR = 3, RPM_out = RPM_in / 3
- Compound gear train: calculate overall ratio by multiplying individual ratios
- Edge cases: N_driver = 0 → error; N_driven = 0 → GR = 0
- Units validation: RPM, N·m
- Step-by-step clarity for students and engineers
- Mobile/desktop UX: numeric keypad, labels, dropdown for gear type
- Include examples: automotive gearbox, industrial gear trains, speed reducers, torque multipliers
- SEO metadata: "Gear Ratio Calculator," "Spur & Helical Gear Tool," "Mechanical Advantage Calculator," schema markup
Frequently Asked Questions - Gear Ratio Calculator:
What is gear ratio?
Gear ratio is the ratio of the number of teeth of the driven gear to the driving gear.
How do I calculate gear ratio?
Gear Ratio = N_driven / N_driver, where N represents the number of teeth.
How do I calculate output speed?
RPM_out = RPM_in / Gear Ratio.
How do I calculate output torque?
T_out = T_in × Gear Ratio.
Can I calculate for spur, helical, and bevel gears?
Yes, this calculator supports all common gear types.
Who should use this calculator?
Mechanical engineers, automotive designers, and students analyzing gear systems.
Does it show step-by-step calculations?
Yes, all formulas and intermediate steps are displayed for clarity.
What happens if driver teeth are zero?
It produces an error; driver teeth must be greater than zero.
Can I calculate compound gear train ratios?
Yes, multiply individual gear ratios to find overall ratio.
Why is gear ratio important?
It determines the speed and torque relationship between input and output shafts in a mechanical system.
