Tension on Tight Side given Centrifugal Tension and Tension on Slack Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Tension in Tight Side = Centrifugal Tension of Belt+(Total Tension in Slack Side-Centrifugal Tension of Belt)*e^(Coefficient of Friction For Belt*Angle of Contact)
Tt1 = Tc+(Tt2-Tc)*e^(μ*θc)
This formula uses 1 Constants, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Total Tension in Tight Side - (Measured in Newton) - Total Tension in Tight Side is determined by measuring the force to deflect the belt a given distance per inch of pulley.
Centrifugal Tension of Belt - (Measured in Newton) - Centrifugal Tension of Belt tends to stretch the belt outward, increasing the overall tension.
Total Tension in Slack Side - (Measured in Newton) - Total Tension in Slack Side is determined by measuring the force to deflect the belt a given distance per inch of pulley.
Coefficient of Friction For Belt - Coefficient of Friction For Belt is the ratio defining the force that resists the motion of the brake pad in relation to the brake disc or drum in contact with it.
Angle of Contact - (Measured in Radian) - Angle of Contact is the angle subtended by the belt on the pulley.
STEP 1: Convert Input(s) to Base Unit
Centrifugal Tension of Belt: 12.51 Newton --> 12.51 Newton No Conversion Required
Total Tension in Slack Side: 23.51 Newton --> 23.51 Newton No Conversion Required
Coefficient of Friction For Belt: 0.2 --> No Conversion Required
Angle of Contact: 3.4658 Radian --> 3.4658 Radian No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tt1 = Tc+(Tt2-Tc)*e^(μ*θc) --> 12.51+(23.51-12.51)*e^(0.2*3.4658)
Evaluating ... ...
Tt1 = 34.5102820294889
STEP 3: Convert Result to Output's Unit
34.5102820294889 Newton --> No Conversion Required
FINAL ANSWER
34.5102820294889 34.51028 Newton <-- Total Tension in Tight Side
(Calculation completed in 00.004 seconds)

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Tension Calculators

Tension in Tight Side of Rope Drive
​ LaTeX ​ Go Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction b/w Belt & Sides of Groove*Angle of Contact*cosec(Angle of Groove/2))
Tension in Tight Side of Belt
​ LaTeX ​ Go Tension in Tight Side of Belt = Tension in Slack Side of Belt*e^(Coefficient of Friction For Belt*Angle of Contact)
Tension on Slack Side when Centrifugal Tension is Taken in Account
​ LaTeX ​ Go Total Tension in Slack Side = Tension in Slack Side of Belt+Centrifugal Tension of Belt
Tension in Tight Side for Transmission of Maximum Power by Belt
​ LaTeX ​ Go Tension in Tight Side of Belt = 2*Maximum Tension of Belt/3

Tension on Tight Side given Centrifugal Tension and Tension on Slack Side Formula

​LaTeX ​Go
Total Tension in Tight Side = Centrifugal Tension of Belt+(Total Tension in Slack Side-Centrifugal Tension of Belt)*e^(Coefficient of Friction For Belt*Angle of Contact)
Tt1 = Tc+(Tt2-Tc)*e^(μ*θc)

What is centrifugal tension?

The tension caused by centrifugal force or called centrifugal tension.at lower belt speeds (less than 10 m/s), the centrifugal tension is very small, but at higher belt speeds (more than 10 m/s), its effect is considerable and thus should be taken into account.

What is the effect of centrifugal tension in the belt?

This centrifugal force reduces the pressure between the belt and the rim of the pulleys, and thus, move the belt away from the pulley and reduce the wrap angle. Therefore, the belt tensions and power transmission also are reduced.

How to Calculate Tension on Tight Side given Centrifugal Tension and Tension on Slack Side?

Tension on Tight Side given Centrifugal Tension and Tension on Slack Side calculator uses Total Tension in Tight Side = Centrifugal Tension of Belt+(Total Tension in Slack Side-Centrifugal Tension of Belt)*e^(Coefficient of Friction For Belt*Angle of Contact) to calculate the Total Tension in Tight Side, Tension on Tight Side given Centrifugal Tension and Tension on Slack Side formula is defined as the measure of the force exerted on the tight side of a belt or rope in a pulley system, taking into account the centrifugal tension and the tension on the slack side, which is crucial in determining the overall mechanical efficiency. Total Tension in Tight Side is denoted by Tt1 symbol.

How to calculate Tension on Tight Side given Centrifugal Tension and Tension on Slack Side using this online calculator? To use this online calculator for Tension on Tight Side given Centrifugal Tension and Tension on Slack Side, enter Centrifugal Tension of Belt (Tc), Total Tension in Slack Side (Tt2), Coefficient of Friction For Belt (μ) & Angle of Contact c) and hit the calculate button. Here is how the Tension on Tight Side given Centrifugal Tension and Tension on Slack Side calculation can be explained with given input values -> 34.51028 = 12.51+(23.51-12.51)*e^(0.2*3.4658).

FAQ

What is Tension on Tight Side given Centrifugal Tension and Tension on Slack Side?
Tension on Tight Side given Centrifugal Tension and Tension on Slack Side formula is defined as the measure of the force exerted on the tight side of a belt or rope in a pulley system, taking into account the centrifugal tension and the tension on the slack side, which is crucial in determining the overall mechanical efficiency and is represented as Tt1 = Tc+(Tt2-Tc)*e^(μ*θc) or Total Tension in Tight Side = Centrifugal Tension of Belt+(Total Tension in Slack Side-Centrifugal Tension of Belt)*e^(Coefficient of Friction For Belt*Angle of Contact). Centrifugal Tension of Belt tends to stretch the belt outward, increasing the overall tension, Total Tension in Slack Side is determined by measuring the force to deflect the belt a given distance per inch of pulley, Coefficient of Friction For Belt is the ratio defining the force that resists the motion of the brake pad in relation to the brake disc or drum in contact with it & Angle of Contact is the angle subtended by the belt on the pulley.
How to calculate Tension on Tight Side given Centrifugal Tension and Tension on Slack Side?
Tension on Tight Side given Centrifugal Tension and Tension on Slack Side formula is defined as the measure of the force exerted on the tight side of a belt or rope in a pulley system, taking into account the centrifugal tension and the tension on the slack side, which is crucial in determining the overall mechanical efficiency is calculated using Total Tension in Tight Side = Centrifugal Tension of Belt+(Total Tension in Slack Side-Centrifugal Tension of Belt)*e^(Coefficient of Friction For Belt*Angle of Contact). To calculate Tension on Tight Side given Centrifugal Tension and Tension on Slack Side, you need Centrifugal Tension of Belt (Tc), Total Tension in Slack Side (Tt2), Coefficient of Friction For Belt (μ) & Angle of Contact c). With our tool, you need to enter the respective value for Centrifugal Tension of Belt, Total Tension in Slack Side, Coefficient of Friction For Belt & Angle of Contact and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Total Tension in Tight Side?
In this formula, Total Tension in Tight Side uses Centrifugal Tension of Belt, Total Tension in Slack Side, Coefficient of Friction For Belt & Angle of Contact. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Total Tension in Tight Side = Tension in Tight Side of Belt+Centrifugal Tension of Belt
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