Formula relating angular displacement and tension.

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Discussion Overview

The discussion revolves around finding a formula that relates angular displacement to tension in a timing belt system, specifically in the context of a rack and pinion mechanism. Participants explore the mechanics of measuring tension and the factors influencing the relationship between displacement and tension.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks a formula that connects the angular displacement of a dial gauge indicator to the tension in a timing belt.
  • Another participant suggests that knowledge of the force causing displacement and the distance between contact points is necessary, proposing a force diagram approach.
  • A participant clarifies that the system involves a plunger and gear rather than pulleys, questioning how to apply the suggested formula in this context.
  • There is mention of a standard method for measuring static tension using known forces and deflection, but it is noted that this may not apply to the rack and pinion setup.
  • Further clarification is sought regarding whether the discussion pertains to the measuring device or the system being measured, indicating potential confusion about the context of the measurements.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of standard tension measurement methods to the described system, and there is no consensus on how to relate displacement to tension in this specific setup.

Contextual Notes

Participants have not fully defined the assumptions regarding the mechanics of the rack and pinion system, and there are unresolved questions about the relationship between the measuring device and the system being measured.

rambharath94
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Hello guys,

Iam doing a project to find the tension of timing belt using a dial gauge indicator,but i can't find a formula relating the displacement of the pointer and the tension (eg: 5 deg of dislplacement of pointer = 10 units of tension).Please help me...
 
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You also need to know the force that causes the displacement and the distance between the contact points on the two pulleys. Then draw a force diagram (triangle). The belt isn't accelerating so the vector forces sum to zero.
 
Actually there are no 2 pulleys present here ,there is a plunger and gear (rack and pinion mechanism) as the plunger moves up the gear starts to rotate giving the value of tension,Now how do i need to apply your formula for this?
 
The normal method for measuring the static tension in a timing belt is to apply a known force, measure the deflection and apply some trigonometry...or buy a device that does it all for you.

Force_Deflection.jpg

Image from here..
http://www.pfeiferindustries.com/installation/timing-belt-tensioning.html

That's not applicable to a rigid rack and pinion so you will have to tell us more about the system and what exactly you are trying to measure. For example if there is nothing stopping the gear rotating I don't see there will be any tension in the rack.

Got a photo or drawing?
 
rambharath94 said:
Actually there are no 2 pulleys present here ,there is a plunger and gear (rack and pinion mechanism) as the plunger moves up the gear starts to rotate giving the value of tension,Now how do i need to apply your formula for this?

Are you talking about the system you are measuring or the measuring device?

I have a feeling you are talking about the measuring device and I was talking about the system. My guess is the device you have measures tension and displacement is that correct?
 

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