Belt Tension in Tight Side of V-Belt Calculator

✖Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.ⓘ Coefficient of Friction for Belt Drive [μ]			+10% -10%
✖Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.ⓘ Wrap Angle on Pulley [α]			+10% -10%
✖V Belt Angle is defined as the angle included between the side faces of the V cross-section belt.ⓘ V Belt Angle [θ]			+10% -10%
✖Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.ⓘ Belt Tension on Loose Side [P₂]			+10% -10%
✖Mass of Meter Length of V Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.ⓘ Mass of Meter Length of V Belt [m_v]			+10% -10%
✖Belt Velocity is defined as the velocity of the belt used in a belt drive.ⓘ Belt Velocity [v_b]			+10% -10%

✖Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.ⓘ Belt Tension in Tight Side of V-Belt [P₁]

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Belt Tension in Tight Side of V-Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2
P₁ = (e^μ*α/sin(θ/2))*(P₂-m_v*v_b^2)+m_v*v_b^2
This formula uses 1 Constants, 1 Functions, 7 Variables

Constants Used

e - Napier's constant Value Taken As 2.71828182845904523536028747135266249

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Belt Tension on Tight Side - (Measured in Newton) - Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.
Coefficient of Friction for Belt Drive - Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.
Wrap Angle on Pulley - (Measured in Radian) - Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.
V Belt Angle - (Measured in Radian) - V Belt Angle is defined as the angle included between the side faces of the V cross-section belt.
Belt Tension on Loose Side - (Measured in Newton) - Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.
Mass of Meter Length of V Belt - (Measured in Kilogram per Meter) - Mass of Meter Length of V Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
Belt Velocity - (Measured in Meter per Second) - Belt Velocity is defined as the velocity of the belt used in a belt drive.

STEP 1: Convert Input(s) to Base Unit

Coefficient of Friction for Belt Drive: 0.35 --> No Conversion Required
Wrap Angle on Pulley: 160.2 Degree --> 2.79601746169439 Radian (Check conversion here)
V Belt Angle: 62 Degree --> 1.08210413623628 Radian (Check conversion here)
Belt Tension on Loose Side: 550 Newton --> 550 Newton No Conversion Required
Mass of Meter Length of V Belt: 0.76 Kilogram per Meter --> 0.76 Kilogram per Meter No Conversion Required
Belt Velocity: 25.81 Meter per Second --> 25.81 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P₁ = (e^μ*α/sin(θ/2))*(P₂-m_v*v_b^2)+m_v*v_b^2 --> (e^0.35*2.79601746169439/sin(1.08210413623628/2))*(550-0.76*25.81^2)+0.76*25.81^2

Evaluating ... ...

P₁ = 843.098203897395

STEP 3: Convert Result to Output's Unit

843.098203897395 Newton --> No Conversion Required

FINAL ANSWER

843.098203897395 ≈ 843.0982 Newton <-- Belt Tension on Tight Side

(Calculation completed in 00.004 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » V Belt Drives » V Belt Characteristics and Parameters » Belt Tension in Tight Side of V-Belt

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< V Belt Characteristics and Parameters Calculators

Belt Velocity of V-Belt given Belt Tension in Loose Side

LaTeX Go Belt Velocity = sqrt((Belt Tension on Tight Side-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2)))*Belt Tension on Loose Side)/(Mass of Meter Length of V Belt*(1-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))))))

Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt

LaTeX Go Wrap Angle on Pulley = sin(V Belt Angle/2)*ln((Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2))/Coefficient of Friction for Belt Drive

Belt Tension in Loose Side of V-Belt

LaTeX Go Belt Tension on Loose Side = (Belt Tension on Tight Side-Mass of Meter Length of V Belt*Belt Velocity^2)/(e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))+Mass of Meter Length of V Belt*Belt Velocity^2

Belt Tension in Tight Side of V-Belt

LaTeX Go Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2

Belt Tension in Tight Side of V-Belt Formula

LaTeX Go

Types of Belt Drives?

There are five different kinds of belt drive that can be found and those are:
Open belt drive.
Closed or crossed belt drive.
Fast and loose cone pulley.
Stepped cone pulley.
Jockey pulley drive.

How to Calculate Belt Tension in Tight Side of V-Belt?

Belt Tension in Tight Side of V-Belt calculator uses Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2 to calculate the Belt Tension on Tight Side, The Belt Tension in Tight Side of V-Belt formula is defined as a measure of the tension exerted on the tight side of a V-belt, which is crucial for ensuring efficient power transmission and minimizing slippage in mechanical systems. Belt Tension on Tight Side is denoted by P₁ symbol.

How to calculate Belt Tension in Tight Side of V-Belt using this online calculator? To use this online calculator for Belt Tension in Tight Side of V-Belt, enter Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), V Belt Angle (θ), Belt Tension on Loose Side (P₂), Mass of Meter Length of V Belt (m_v) & Belt Velocity (v_b) and hit the calculate button. Here is how the Belt Tension in Tight Side of V-Belt calculation can be explained with given input values -> 843.0982 = (e^0.35*2.79601746169439/sin(1.08210413623628/2))*(550-0.76*25.81^2)+0.76*25.81^2.

FAQ

What is Belt Tension in Tight Side of V-Belt?

The Belt Tension in Tight Side of V-Belt formula is defined as a measure of the tension exerted on the tight side of a V-belt, which is crucial for ensuring efficient power transmission and minimizing slippage in mechanical systems and is represented as P₁ = (e^μ*α/sin(θ/2))*(P₂-m_v*v_b^2)+m_v*v_b^2 or Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2. Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley, Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley, V Belt Angle is defined as the angle included between the side faces of the V cross-section belt, Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side, Mass of Meter Length of V Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt & Belt Velocity is defined as the velocity of the belt used in a belt drive.

How to calculate Belt Tension in Tight Side of V-Belt?

The Belt Tension in Tight Side of V-Belt formula is defined as a measure of the tension exerted on the tight side of a V-belt, which is crucial for ensuring efficient power transmission and minimizing slippage in mechanical systems is calculated using Belt Tension on Tight Side = (e^Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V Belt Angle/2))*(Belt Tension on Loose Side-Mass of Meter Length of V Belt*Belt Velocity^2)+Mass of Meter Length of V Belt*Belt Velocity^2. To calculate Belt Tension in Tight Side of V-Belt, you need Coefficient of Friction for Belt Drive (μ), Wrap Angle on Pulley (α), V Belt Angle (θ), Belt Tension on Loose Side (P₂), Mass of Meter Length of V Belt (m_v) & Belt Velocity (v_b). With our tool, you need to enter the respective value for Coefficient of Friction for Belt Drive, Wrap Angle on Pulley, V Belt Angle, Belt Tension on Loose Side, Mass of Meter Length of V Belt & Belt Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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