Kostenloser Zahnrad Ratio Rechner
Berechnen Sie gear ratio, output speed, and output torque for a gear pair. Geben Sie tooth counts, input speed, and torque.
Übersetzungsverhältnis
3.000
Gear Ratio vs Driver Gear Teeth (N1)
Formel
## Gear Ratio Fundamentals Gears trade speed for torque (or vice versa) while transmitting rotational power. ### Formulas **Gear Ratio = N2 / N1** (driven teeth / driver teeth) **Output Speed = Input Speed / Gear Ratio** **Output Torque = Input Torque x Gear Ratio** (assuming no losses) A ratio greater than 1 is a speed reduction (torque multiplication). A ratio less than 1 is a speed increase (torque reduction).
Lösungsbeispiel
A 20-tooth driver meshing with a 60-tooth driven gear, input 1800 RPM at 50 N-m.
- 01Gear ratio = 60 / 20 = 3.0 (speed reduction)
- 02Output speed = 1800 / 3.0 = 600 RPM
- 03Output torque = 50 x 3.0 = 150 N-m (ideal)
- 04Actual torque is slightly less due to mesh efficiency (typically 95-99% per stage).
Häufig Gestellte Fragen
What is typical gear mesh efficiency?
Spur gears: 97-99% per stage. Helical gears: 96-99%. Worm gears: 40-90% depending on lead angle. Bevel gears: 95-98%. For multi-stage gearboxes, multiply efficiencies.
Does the gear ratio change the power?
Ideally no. Power = Torque x Angular Velocity. When torque increases, speed decreases proportionally so power is conserved. In practice, some power is lost to friction and heat.
What determines the minimum number of teeth?
For standard spur gears with 20-degree pressure angle, a minimum of 13 teeth avoids undercut interference. Below this, profile-shifted gears or a different tooth form is needed.
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