How to calculate force on a wheel in a three gear system?

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SUMMARY

To calculate the force on a wheel in a three-gear system, first determine the overall gear reduction ratio by considering the radii of the gears. Multiply the input torque from the motor by this gear ratio to obtain the output torque. Finally, divide the output torque by the radius of the wheel to find the force exerted on the wheel. The number of gears is significant as it represents the stages in the reduction process, impacting the torque and force calculations.

PREREQUISITES
  • Understanding of torque and its relationship to rotational motion
  • Knowledge of gear reduction ratios and their calculation
  • Familiarity with basic physics concepts, particularly force and radius
  • Ability to perform mathematical operations involving ratios and divisions
NEXT STEPS
  • Research how to calculate gear reduction ratios in multi-stage systems
  • Learn about the principles of torque transmission in mechanical systems
  • Explore the effects of efficiency losses in gear systems beyond 100% efficiency
  • Study the relationship between radius and force in circular motion
USEFUL FOR

Mechanical engineers, physics students, and anyone involved in designing or analyzing gear systems and their performance.

Soroushqwn
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Hi guy
I try to understand how should I calculate the force on a wheel with known radius which is driven by a motor with a known torque and rational speed, in between three gears with known radiuses. Does the number of gears matter for the torque and so for the force on the wheel? (100% efficiency)
thx
 
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you have to calculate the overall gear reduction ratio.

then multiply input torque by gear ratio to get output torque. then divide away the radius of the wheel and you have the force at the wheel.
 
the number of gears matter, they are the number of "stages" in a reduction.
 

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