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-mv*vb^2)+mv*vb^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-mv*vb^2)+mv*vb^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)

Credits

Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Vishwakarma Government Engineering College (VGEC), Ahmedabad
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17 V-Belt Drives Calculators

Belt Velocity of V-Belt given Belt Tension in Loose Side
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))))))
Mass of One Meter Length of V-Belt given Belt Tension in Loose Side
Go Mass of Meter Length of V Belt = (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)/(Belt Velocity^2*(1-(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley/sin(V belt angle/2)))))
Coefficient of Friction in V-Belt given Belt Tension in Loose Side of Belt
Go Coefficient of Friction for Belt Drive = 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))/Wrap Angle on Pulley
Angle of Wrap of V-Belt given Belt Tension in Loose Side of Belt
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
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
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
Correction Factor for Industrial Services given Number of Belts Required
Go Correction Factor for Industrial Service = Number of Belts*(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt)/Power transmitted by belt
Correction Factor for Arc of Contact given Number of Belts Required
Go Correction Factor for Arc of Contact = Power transmitted by belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Number of Belts*Power Rating of Single V-Belt)
Correcting Factor for Belt Length given Number of Belts Required
Go Correction Factor for Belt Length = Power transmitted by belt*Correction Factor for Industrial Service/(Number of Belts*Correction Factor for Arc of Contact*Power Rating of Single V-Belt)
Drive Power to be Transmitted given Number of Belts Required
Go Power transmitted by belt = Number of Belts*(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt)/Correction Factor for Industrial Service
Power Rating of Single V-Belt given Number of Belts Required
Go Power Rating of Single V-Belt = Power transmitted by belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Number of Belts)
Number of V Belts Required for Given Applications
Go Number of Belts = Power transmitted by belt*Correction Factor for Industrial Service/(Correction Factor for Belt Length*Correction Factor for Arc of Contact*Power Rating of Single V-Belt)
Belt Velocity given Power Transmitted using V-Belt
Go Belt Velocity = Power transmitted by belt/(Belt Tension on Tight Side-Belt Tension on Loose Side)
Power Transmitted using V Belt
Go Power transmitted by belt = (Belt Tension on Tight Side-Belt Tension on Loose Side)*Belt Velocity
Belt Tension in Tight Side of Belt given Power Transmitted using V-Belt
Go Belt Tension on Tight Side = Power transmitted by belt/Belt Velocity+Belt Tension on Loose Side
Belt Tension in Loose Side of V-Belt given Power Transmitted
Go Belt Tension on Loose Side = Belt Tension on Tight Side-Power transmitted by belt/Belt Velocity
Effective Pull in V-Belt
Go Effective Pull in V Belt = Belt Tension on Tight Side-Belt Tension on Loose Side

Belt Tension in Tight Side of V-Belt Formula

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-mv*vb^2)+mv*vb^2

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 the force acting on the tighter side of the belt. 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 (mv) & Belt Velocity (vb) 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 the force acting on the tighter side of the belt and is represented as P1 = (e^μ*α/sin(θ/2))*(P2-mv*vb^2)+mv*vb^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 the force acting on the tighter side of the belt 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 (mv) & Belt Velocity (vb). 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.
How many ways are there to calculate Belt Tension on Tight Side?
In this formula, Belt Tension on Tight Side uses 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. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Belt Tension on Tight Side = Power transmitted by belt/Belt Velocity+Belt Tension on Loose Side
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