Planet Gear System: Sun Gear Input, Same Torque in Ring & Carrier?

[Trying2Learn]

TL;DR Summary

Output torque

Hello all,

In a planetary gear system, there is:

1. sun gear
2. planet gear
3. Ring gear
4. Carrier

Suppose the SUN gear delivers the input torque to the system.

(I do not care about the planet gears in this system.=

There are two torques that can result.

1. The ring can deliver a torque and
2. the carrier can deliver a torque.

However, the torques are different due to the number of teeth.

Has anyone ever heard of a design system in which the carrier and ring deliver the SAME torque?

 

[Tom.G]

Seems like an easy thing to do. Connect each to a constant-torque load and let 'er rip.

The constant-torque load could be a friction brake, for instance. Speeds, of course, would differ.

 

[Baluncore]

Has anyone ever heard of a design system in which the carrier and ring deliver the SAME torque?

Power = torque * RPM, so different gear ratios imply different torques.
When you lock the carrier, the ring is effectively driven backwards by the sun.
When you lock the ring, the carrier moves forwards at half that speed.
So I don't think it is possible for a standard planar planetary gear to offer equal torque.

The unusual planetary differential does provide equal torque to two axles, but in that case the carrier is driven, without a ring, but with two suns.
https://en.wikipedia.org/wiki/Differential_(mechanical_device)https://en.wikipedia.org/wiki/Differential_(mechanical_device)#Spur-gear_differential