Designing a Gearbox for Drum - Finding Gear Ratio

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SUMMARY

The discussion focuses on designing a gearbox to achieve a uniform speed of 7 RPM in 8 seconds using a motor with an output of 715 RPM. The gear ratio can be calculated using the formula w1 / w2 = N2 / N1, where w represents angular velocity and N denotes the number of gear teeth. It is emphasized that in simple gear systems, the ratio of angular velocities and torque are inversely proportional. For complex or planetary gear systems, the calculations become more intricate.

PREREQUISITES
  • Understanding of angular velocity and its calculation
  • Familiarity with gear ratio formulas
  • Knowledge of simple and complex gear systems
  • Basic mechanical engineering principles
NEXT STEPS
  • Calculate specific gear ratios for different gear configurations
  • Explore the design of planetary gear systems
  • Study the impact of torque on gear performance
  • Learn about motor selection criteria for gearbox applications
USEFUL FOR

Mechanical engineers, gearbox designers, and anyone involved in motor-driven machinery design will benefit from this discussion.

gimini75
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Hi

I have to design a gearbox for a drum, the drum should be brought uniformily to a speed of 7rpm in 8 seconds, I have choosed a motor of 715 rpm output, what's the gear ratio I should use in designing the gearbox?

Thanks
 
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Well, the equation for gear ratios is;

w1 / w2 = N2 / N1 = Gear Ratio

Where;
w = angular velocity
N = number of gear teeth or size of the gear

In a nutshell the ratio of angular velocities and torque are inversly proportional to each other. However this is only for simple gear joints. If your using a complex or planetary gear system then things get a little bit more complicated.
 

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