Torque and power in a geared sytem

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Discussion Overview

The discussion revolves around a homework problem related to torque and power in a geared system. Participants are seeking guidance on calculating power and torque in different shafts of the system, particularly focusing on the relationship between input power and the power transmitted through the shafts.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about whether the power in shaft B should be calculated as 95% of the input power or derived from the torque in shaft A, noting a discrepancy when attempting the latter.
  • Another participant suggests that power in shaft B might simply be 95% of the supplied power, indicating a potential misunderstanding of the relationship between power, torque, and angular velocity.
  • A participant attempts to calculate the maximum torque in shaft B, asserting that maximum torque occurs at maximum power and providing a specific calculation based on the system's parameters.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct approach to calculating power in shaft B, with differing opinions on whether to use a percentage of input power or derive it from torque calculations.

Contextual Notes

There are unresolved assumptions regarding the definitions of power and torque in the context of the geared system, as well as the implications of efficiency losses in the calculations.

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Homework Statement


The problem is attached, I am only looking for guidance on a, I am most probably just completely over complicating this.


Homework Equations


p=T.2(pi).f

t= torque
f=frequency/rot/sec



The Attempt at a Solution


im just stuck on wether the power in shaft b is simply 95percent of the systems input power, or wether i calculate the torque in shaft a, and then calculate the power in b and subtract a 5 percent from that. Thats what i tried however I got a power higher then the input. Please help.
 

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p.s. thanks in advance.
 
so I am leaning towards the idea that power is simply .95 percent of the power supplied, meaning that the angular velocity and the torque are obviously different. am i on the right track of understanding this?
 
so assuming that this is correct, i then attempted b.
it asks for max torque in shaft b, max torque occurs at max power.
max power occurs when 2444 rpm.
40/208 = .1923 rotations to every one of the small gear
x by 2444
/60
= 7.8 rots/sec of the large gear.
so
p=T.2(pi).f
28.5x10^3=T.2(pi).7.833
T=579.07 nm

does this look correct?

thanks for input.
 

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