Calculating Power of a rotating shaft

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    Power Rotating Shaft
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SUMMARY

The discussion focuses on calculating the power output of a rotating shaft connected to a wheel and a hanging weight. The formula provided for calculating power (P) is P = T · θ̇, where T represents torque and θ̇ is the angular speed. The importance of maintaining consistent units throughout the calculations is emphasized. Additionally, the relationship between the radius of the wheel and torque is highlighted as a critical factor in determining the overall power output.

PREREQUISITES
  • Understanding of basic physics concepts, specifically work and power calculations.
  • Familiarity with torque and its relationship to rotational motion.
  • Knowledge of angular speed and its units.
  • Ability to perform unit conversions to ensure consistency in calculations.
NEXT STEPS
  • Research the relationship between torque and radius in rotating systems.
  • Learn about the principles of angular velocity and its calculation.
  • Explore the effects of friction on power calculations in mechanical systems.
  • Study advanced power calculation methods for rotating machinery.
USEFUL FOR

Engineers, physics students, and anyone involved in mechanical design or analysis of rotating systems will benefit from this discussion.

sailadayaway
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Hi, it's been a number of years since I've even thought about physics, so this is a very simple question. I have a rig set up where I have a power source that is rotating a shaft. Attached to this shaft is a wheel with a string, I have this string going through a pulley in the ceiling, and pulling a hanging weight. What I need to do is calculate the power that I'm getting out of this device, I remember how to calculate work and power, but can't for the life of me figure out where the radius of the wheel comes into play, and the torque. Any help would be appreciated

Cheers,
Corey
 
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If you have the power, you can calculate the torque (neglecting friction) from:

[tex]P = T \dot{\theta}[/tex]

where
[tex]P[/tex] = Power
[tex]T[/tex] = Torque
[tex]\dot{\theta}[/tex] = Angular speed

Just make sure your units are consistent!
 

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