Mechanical Principals - Drive belt tension and load torque

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SUMMARY

The discussion focuses on the effects of increased load torque on belt tension and power transmission in a mechanical system involving a V-belt. When load torque increases while maintaining constant speed, the tension in the tight side of the belt (F1) increases, while the tension in the slack side (F2) decreases, resulting in an overall increase in power transmitted (P). The relevant equations include P = (F1-F2)v and T = (F1-F2)r, which illustrate the relationship between torque, tension, and power in this context.

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  • Understanding of mechanical principles related to torque and tension
  • Familiarity with V-belt systems and their operational mechanics
  • Knowledge of power transmission equations in mechanical systems
  • Basic proficiency in using LaTeX for formatting equations
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  • Study the effects of varying load torque on V-belt tension using simulation software
  • Learn about the impact of pulley diameter on power transmission efficiency
  • Explore the relationship between friction coefficients and belt performance
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Mechanical engineers, students studying mechanical systems, and professionals involved in power transmission design will benefit from this 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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Last edited by a moderator:
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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
 

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  • 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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