Calculating Power Input for Wind Turbine Shaft with Continuous Force

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Homework Help Overview

The discussion revolves around calculating the power input for a wind turbine shaft based on a continuous force applied at a specific distance from the shaft center. The original poster is working with a force of 3,720 pounds and is attempting to relate this to torque and power input.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to calculate torque using the force and distance from the shaft center, questioning how to compute power input from this torque. Some participants inquire about the specifics of the setup, such as the nature of the pulley and whether a belt is involved.

Discussion Status

Participants are exploring the relationship between torque and power, with one suggesting the need for rotational speed to calculate power. There are also discussions about the units being used and the formula for horsepower, indicating a productive exchange of ideas without a clear consensus yet.

Contextual Notes

There are concerns about the use of imperial units in the calculations, and some participants are questioning the setup details, such as the type of pulley and its function in the system.

Tim Gard
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Homework Statement



I am trying to determine the input I will have on a shaft with a continuous force of 3,720 pounds one foot out from the shaft center.

I am thinking the input continuous torque would be 1 foot being that I am using a 2 foot pulley on the shaft, and I have a continuous 3,720 pound pull on this pulley ;

Homework Equations


The Attempt at a Solution



1 foot times 3720 pounds equals 3720 foot pounds.
How do I compute the power input into this? Is it simply converting 3720 foot pounds over a given time element? What time basis is used in wind turbine calcs?
 
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What horrible units!
Please tell me you don't actually have to do assignments in imperial!

Please explain what you mean by the 2 foot pully. Is there a belt that moves within the trunk?

Do you mean a lever?
 
Now that you have the torque, you need to find out the rotational speed of the shaft in order to calculate power.
 
two RPM
 
The formula for calculating horsepower is P = T N / 5252, where P is the power output in HP, T is the torque in lb-ft, and N is the shaft speed in RPM. 1 HP = 33000 ft-lb/min and 5252 = 33000 / (2 pi).
 

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