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

✖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 Tight Side is defined as the belt's tension on the belt's tight side.ⓘ Belt Tension on Tight Side [P₁]			+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 Loose Side is defined as the belt's tension on the belt's loose side.ⓘ Belt Tension on Loose Side [P₂]			+10% -10%
✖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.ⓘ Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt [α]

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

STEP 0: Pre-Calculation Summary

Formula Used

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
α = sin(θ/2)*ln((P₁-m_v*v_b^2)/(P₂-m_v*v_b^2))/μ
This formula uses 2 Functions, 7 Variables

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)
ln - The natural logarithm, also known as the logarithm to the base e, is the inverse function of the natural exponential function., ln(Number)

Variables Used

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 Tight Side - (Measured in Newton) - Belt Tension on Tight Side is defined as the belt's tension on the belt's tight 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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

V Belt Angle: 62 Degree --> 1.08210413623628 Radian (Check conversion here)
Belt Tension on Tight Side: 800 Newton --> 800 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
Belt Tension on Loose Side: 550 Newton --> 550 Newton No Conversion Required
Coefficient of Friction for Belt Drive: 0.35 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = sin(θ/2)*ln((P₁-m_v*v_b^2)/(P₂-m_v*v_b^2))/μ --> sin(1.08210413623628/2)*ln((800-0.76*25.81^2)/(550-0.76*25.81^2))/0.35

Evaluating ... ...

α = 2.80297658045815

STEP 3: Convert Result to Output's Unit

2.80297658045815 Radian -->160.598728134294 Degree (Check conversion here)

FINAL ANSWER

160.598728134294 ≈ 160.5987 Degree <-- Wrap Angle on Pulley

(Calculation completed in 00.009 seconds)

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Home » Engineering » Mechanical » Machine Design » Design of Belt Drives » V Belt Drives » V Belt Characteristics and Parameters » Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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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

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

Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt calculator uses 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 to calculate the Wrap Angle on Pulley, The Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt formula is defined as a measure of the angle through which a V-belt wraps around a pulley, influencing the belt's grip and overall performance in mechanical systems. Wrap Angle on Pulley is denoted by α symbol.

How to calculate Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt using this online calculator? To use this online calculator for Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt, enter V Belt Angle (θ), Belt Tension on Tight Side (P₁), Mass of Meter Length of V Belt (m_v), Belt Velocity (v_b), Belt Tension on Loose Side (P₂) & Coefficient of Friction for Belt Drive (μ) and hit the calculate button. Here is how the Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt calculation can be explained with given input values -> 9201.629 = sin(1.08210413623628/2)*ln((800-0.76*25.81^2)/(550-0.76*25.81^2))/0.35.

FAQ

What is Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt?

The Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt formula is defined as a measure of the angle through which a V-belt wraps around a pulley, influencing the belt's grip and overall performance in mechanical systems and is represented as α = sin(θ/2)*ln((P₁-m_v*v_b^2)/(P₂-m_v*v_b^2))/μ or 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. V Belt Angle is defined as the angle included between the side faces of the V cross-section belt, Belt Tension on Tight Side is defined as the belt's tension on the belt's tight 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, Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side & Coefficient of Friction for Belt Drive is the ratio defining the force that resists the motion of the belt over the pulley.

How to calculate Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt?

The Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt formula is defined as a measure of the angle through which a V-belt wraps around a pulley, influencing the belt's grip and overall performance in mechanical systems is calculated using 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. To calculate Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt, you need V Belt Angle (θ), Belt Tension on Tight Side (P₁), Mass of Meter Length of V Belt (m_v), Belt Velocity (v_b), Belt Tension on Loose Side (P₂) & Coefficient of Friction for Belt Drive (μ). With our tool, you need to enter the respective value for V Belt Angle, Belt Tension on Tight Side, Mass of Meter Length of V Belt, Belt Velocity, Belt Tension on Loose Side & Coefficient of Friction for Belt Drive 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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