How to calculate maximum gearbox input torque

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SUMMARY

The maximum input torque for a gearbox can be calculated using the formula HP = (Torque x Speed) / 5252. In this discussion, a 2HP brakemotor operating at 258 RPM is analyzed alongside a gearbox with a 200:1 ratio. The gearbox is rated for 0.093HP at this input speed, translating to a maximum torque of 1.89 lb-ft. This calculation is crucial for understanding the limits of torque application in mechanical systems.

PREREQUISITES
  • Understanding of horsepower calculations
  • Knowledge of torque and RPM relationships
  • Familiarity with gearbox ratios
  • Basic electrical engineering principles related to motors
NEXT STEPS
  • Research the impact of gearbox ratios on torque output
  • Learn about the efficiency losses in gearboxes
  • Explore advanced torque calculation methods for varying motor speeds
  • Investigate the specifications and performance of 2HP brakemotors
USEFUL FOR

Mechanical engineers, motor and gearbox designers, and anyone involved in the specification and application of motor-driven systems will benefit from this discussion.

SevenToFive
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I am a bit confused by a customer and their request to know what the maximum torque he can apply to a gearbox when the motor input speed is 258rpm.
The motor is a 2HP brakemotor, 1750rpm at 60Hz, 460VAC 3phase, 1.65 amps motor tested.
The gearbox has a 200:1 ratio rated for 0.093HP with an input speed of 258rpm, with a standard 1750rpm input speed the same gearbox is rated for 0.633HP.

Any help in clearing up how to calculate maximum input torque would be greatly appreciated. Thanks to all who reply.
 
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