Mechanical Principals - Drive belt tension and load torque

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Discussion Overview

The discussion revolves around the effects of increased load torque on a drive belt system while maintaining constant speed. Participants explore the implications for belt tension on both the tight and slack sides, as well as the power transmitted through the system. The context includes theoretical and mathematical reasoning related to mechanical principles in a homework scenario.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant questions the effects of increased load torque on the tension in the tight side of the belt, the slack side of the belt, and the power transmitted, seeking guidance on solving for forces F1 and F2.
  • Another participant notes the importance of including a physical setup description and adhering to homework formatting guidelines, suggesting the use of ASCII or LaTeX for equations instead of images.
  • A participant provides specific parameters of the system, including pulley diameters, motor speed, load torque, distance between pulleys, groove angle, coefficient of friction, and belt strength, indicating a more detailed context for the problem.
  • One participant prompts a consideration of the relationship between the variables in the first relevant equation, specifically how changes in tension affect the difference between F1 and F2 when R is constant.

Areas of Agreement / Disagreement

Participants have not reached a consensus on the effects of increased load torque, and multiple viewpoints and approaches remain in the discussion.

Contextual Notes

Participants have not fully defined all assumptions or provided complete mathematical steps, which may affect the clarity of the discussion.

Tiberious
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Question One
What would be the effect on the following if the load torque is increased and the speed maintains constant (give reasons for your answer):

A. the tension in the tight side of the belt
B. the tension in the slack side of the belt
C. the power transmitted.

Not sure on how to solve for F1 and F2. Any ideas are appreciated.

I assume the equations we will require are,
P = (F1-F2)v,
T = (F1-F2)r
P = Tw
v = wr

C. the power transmitted.
According to the equation https://www.physicsforums.com/cid:clip_image001.pngif the angular velocity https://www.physicsforums.com/cid:clip_image002.png is kept constant and the torque is increased the power will thus increase.
 

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You haven't described the physical setup (an image would help), and you haven't retained and used the homework formatting template, which is required for all homework help requests. In future, please retain and use the template.

Inserting equation images into the text is not working for you. I suggest that you type out the equations using ascii characters (the symbols available via the ##\Sigma## icon in the edit panel topbar can be useful there), or, using LaTeX syntax which is automatically parsed and displays nicely formatted equations. See the LaTeX Guide via the link at the bottom left corner of the edit window.
 
Sorry for the template issues, I've been having some trouble creating the thread. The main body of information was provided for the question below

A pulley 150 mm diameter is driven directly by an electric motor at 250 revs min–1. A V-belt is used to transmit power from this pulley to a second pulley 400 mm diameter against a load of 200 Nm.

The distance between the centre of the pulleys is 600 mm, the included angle of the pulley groove = 40°, the coefficient of friction between the belt and pulley is 0.4 and the ultimate strength of the belt is 8 kN.

I've done the below if that helps.

200907-a093e0fd3602aae786d36048b8464729.jpg
 

Attachments

  • Screen Shot 2018-01-03 at 23.11.35.png
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Take a look at your first relevant equation. If R is constant and T changes what is the implication for F1-F2?
 

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