Calculate Input/Output Torque & Angular Torque: 2-Stage Gearbox

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SUMMARY

The discussion focuses on calculating input torque, output torque, and angular torque for a 2-stage gearbox with specific parameters. The input RPM is 9700, and the output RPM is 1950, with gear radii of 12, 40, 30, and 20 mm, and a power rating of 2.3 kW, equivalent to 3.083 HP. The calculated input torque is 20.1 Nm using the formula (63025 * HP) / RPM. The user expresses confusion regarding torque calculations and unit conversions, particularly between Nm and Ft Ib.

PREREQUISITES
  • Understanding of torque calculations in mechanical systems
  • Familiarity with gearbox mechanics and stages
  • Knowledge of unit conversions between metric and imperial systems
  • Basic principles of angular velocity and power in rotational systems
NEXT STEPS
  • Study the formulas for torque calculation in multi-stage gearboxes
  • Learn about unit conversion techniques between Nm and Ft Ib
  • Explore angular velocity calculations and their applications in mechanical systems
  • Investigate the impact of gear ratios on torque and speed in gearboxes
USEFUL FOR

Mechanical engineers, students studying mechanical systems, and anyone involved in gearbox design or torque calculations will benefit from this discussion.

herpamad
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Homework Statement



Need to find input torque, output torque and input torque (omega) all NM

Data i have is

Input RPM = 9700
Output RPM = 1950

GEAR 1 = 12, 2 = 40, 3=30, 4=20 (Radius) with module 2 (x 2 for diameter)

Power = 2.3Kw


Homework Equations



Turn power to H.P giving 3.083 H.P

Use

(63025 * H.P) / R.P.M = T

T = 20.1Nm

Ang Velocity

V(omega)input = R.P.M in * 2pi/60 = rad/s

V(omega)output = R.P.M out * 2pi/60 = rad/s

Input Rad Torque

T(omega) in = V(omega)in * Torque

The Attempt at a Solution



I would say the torque is 20.1Nm

I am getting confused with these torques,

Situation is a 2 stage gearbox, and torques need to be found, including angular torque, but can't seem to find the formulas i really need.

Pretty simple i am sure, but its not clicking for me right now.
 
Last edited:
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We have talked about this one before, Herpamad. Why do you continue to post it?
 
Because i doubt myself too much.

I got units confused and needed to know where i was going wrong very quick.

Turned out that the example i followed has used the wrong output units.

They said Nm where as it should have been Ft Ib.

Sorry.
 

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