How to calculate the power distribution through this gearbox?

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SUMMARY

This discussion focuses on understanding power distribution in a gearbox, specifically why the power at loads 1 and 2 does not equal the motor power, assuming 100% efficiency. Key steps include finding the angular velocity of all shafts and back-calculating torque to determine power using the formula: Power = Torque × Angular Velocity. The conversation emphasizes visualizing the gearbox as a circuit, where the motor power is input to an intermediate shaft, which then splits power between the two loads.

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  • Basic knowledge of gearbox configurations
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Mechanical engineers, students studying mechanical systems, and anyone involved in gearbox design and analysis will benefit from this discussion.

Amaelle
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Homework Statement
How the power is distributed inside the gearbox
Relevant Equations
Gerbox
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My problem is to understand the flux of power inside this gearbox
for example I can´t understand why the power in load 2 and load 1 are not equal to the power of the motor (suppose 100% efficiency). if this gearbox was an energy circuit (how to know that the energy is transmitted and shared) thank you!
 
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Amaelle said:
I can´t understand why the power in load 2 and load 1 are not equal to the power of the motor
Where did you find the power of the motor ?

Find the angular velocity of all the shafts.
Back compute the torque in all the shafts.
The product of torque and angular velocity is power.
Power in watts is the flow of energy in joules per second.
Follow the energy.
You need to show your attempt.
 
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Baluncore said:
Where did you find the power of the motor ?

Find the angular velocity of all the shafts.
Back compute the torque in all the shafts.
The product of torque and angular velocity is power.
Power in watts is the flow of energy in joules per second.
Follow the energy.
You need to show your attempt.
thank you
I already have the solution, I just want to understand the intuition behind it, like for example if it was a circuit would be in parallel or in serie, I undertand know that it´s in serie and that the total power goes to the intermdiate shaft before it´s splited between load1 and load2
 
Why do you say ...
Amaelle said:
... for example I can´t understand why the power in load 2 and load 1 are not equal to the power of the motor (suppose 100% efficiency).
If you think the power account is not balanced, then show us what you think the powers are, and how you calculated them.
 
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Can you visualize Z2-Z3 shaft as having motor power as input and L1 and L2 as two parallel outputs?
M power = L1 power + L2 power

Could you show us the whole problem statement and information?
We are missing the main question(s) and Z4 through Z7.
 
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Baluncore said:
Why do you say ...

If you think the power account is not balanced, then show us what you think the powers are, and how you calculated them.
thank you I could solve the issue :)
 
Lnewqban said:
Can you visualize Z2-Z3 shaft as having motor power as input and L1 and L2 as two parallel outputs?
M power = L1 power + L2 power

Could you show us the whole problem statement and information?
We are missing the main question(s) and Z4 through Z7.
thank you I could solve the issue :)
 
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Likes   Reactions: Lnewqban

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