Belt Tension in Loose Side of Belt given Tension in Tight Side Formula

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Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side. Check FAQs
P2=(P1-(mvb2)eμα)+(mvb2)
P2 - Belt Tension on Loose Side?P1 - Belt Tension on Tight Side?m - Mass of Meter Length of Belt?vb - Belt Velocity?μ - Coefficient of Friction for Belt Drive?α - Wrap Angle on Pulley?

Belt Tension in Loose Side of Belt given Tension in Tight Side Example

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With units
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Here is how the Belt Tension in Loose Side of Belt given Tension in Tight Side equation looks like with Values.

Here is how the Belt Tension in Loose Side of Belt given Tension in Tight Side equation looks like with Units.

Here is how the Belt Tension in Loose Side of Belt given Tension in Tight Side equation looks like.

550.1426Edit=(800Edit-(0.6Edit25.81Edit2)e0.35Edit160.2Edit)+(0.6Edit25.81Edit2)
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Belt Tension in Loose Side of Belt given Tension in Tight Side Solution

Follow our step by step solution on how to calculate Belt Tension in Loose Side of Belt given Tension in Tight Side?

FIRST Step Consider the formula
P2=(P1-(mvb2)eμα)+(mvb2)
Next Step Substitute values of Variables
P2=(800N-(0.6kg/m25.81m/s2)e0.35160.2°)+(0.6kg/m25.81m/s2)
Next Step Convert Units
P2=(800N-(0.6kg/m25.81m/s2)e0.352.796rad)+(0.6kg/m25.81m/s2)
Next Step Prepare to Evaluate
P2=(800-(0.625.812)e0.352.796)+(0.625.812)
Next Step Evaluate
P2=550.142635337499N
LAST Step Rounding Answer
P2=550.1426N

Belt Tension in Loose Side of Belt given Tension in Tight Side Formula Elements

Variables
Belt Tension on Loose Side
Belt Tension on Loose Side is defined as the belt's tension on the belt's loose side.
Symbol: P2
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Belt Tension on Tight Side
Belt Tension on Tight Side is defined as the belt's tension on the belt's tight side.
Symbol: P1
Measurement: ForceUnit: N
Note: Value should be greater than 0.
Mass of Meter Length of Belt
Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
Symbol: m
Measurement: Linear Mass DensityUnit: kg/m
Note: Value should be greater than 0.
Belt Velocity
Belt Velocity is defined as the velocity of the belt used in a belt drive.
Symbol: vb
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
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.
Symbol: μ
Measurement: NAUnit: Unitless
Note: Value should be between 0 to 1.
Wrap Angle on Pulley
Wrap Angle on Pulley is the angle between the run-up and run-off of the belt on the pulley.
Symbol: α
Measurement: AngleUnit: °
Note: Value should be greater than 0.

Other formulas in Introduction of Belt Drives category

​Go Wrap Angle for Small Pulley
αs=3.14-(2(asin(D-d2C)))
​Go Center Distance from Small Pulley to Big Pulley given Wrap Angle of Small Pulley
C=D-d2sin(3.14-αs2)
​Go Diameter of Small Pulley given Wrap Angle of Small Pulley
d=D-(2Csin(3.14-αs2))
​Go Diameter of Big Pulley given Wrap Angle of Small Pulley
D=d+(2Csin(3.14-αs2))

How to Evaluate Belt Tension in Loose Side of Belt given Tension in Tight Side?

Belt Tension in Loose Side of Belt given Tension in Tight Side evaluator uses Belt Tension on Loose Side = ((Belt Tension on Tight Side-(Mass of Meter Length of Belt*Belt Velocity^2))/(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley)))+(Mass of Meter Length of Belt*Belt Velocity^2) to evaluate the Belt Tension on Loose Side, The Belt Tension in Loose Side of Belt given Tension in Tight Side formula is defined as force acting on loose side of belt. Belt Tension on Loose Side is denoted by P2 symbol.

How to evaluate Belt Tension in Loose Side of Belt given Tension in Tight Side using this online evaluator? To use this online evaluator for Belt Tension in Loose Side of Belt given Tension in Tight Side, enter Belt Tension on Tight Side (P1), Mass of Meter Length of Belt (m), Belt Velocity (vb), Coefficient of Friction for Belt Drive (μ) & Wrap Angle on Pulley (α) and hit the calculate button.

FAQs on Belt Tension in Loose Side of Belt given Tension in Tight Side

What is the formula to find Belt Tension in Loose Side of Belt given Tension in Tight Side?
The formula of Belt Tension in Loose Side of Belt given Tension in Tight Side is expressed as Belt Tension on Loose Side = ((Belt Tension on Tight Side-(Mass of Meter Length of Belt*Belt Velocity^2))/(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley)))+(Mass of Meter Length of Belt*Belt Velocity^2). Here is an example- 550.1426 = ((800-(0.6*25.81^2))/(e^(0.35*2.79601746169439)))+(0.6*25.81^2).
How to calculate Belt Tension in Loose Side of Belt given Tension in Tight Side?
With Belt Tension on Tight Side (P1), Mass of Meter Length of Belt (m), Belt Velocity (vb), Coefficient of Friction for Belt Drive (μ) & Wrap Angle on Pulley (α) we can find Belt Tension in Loose Side of Belt given Tension in Tight Side using the formula - Belt Tension on Loose Side = ((Belt Tension on Tight Side-(Mass of Meter Length of Belt*Belt Velocity^2))/(e^(Coefficient of Friction for Belt Drive*Wrap Angle on Pulley)))+(Mass of Meter Length of Belt*Belt Velocity^2).
Can the Belt Tension in Loose Side of Belt given Tension in Tight Side be negative?
No, the Belt Tension in Loose Side of Belt given Tension in Tight Side, measured in Force cannot be negative.
Which unit is used to measure Belt Tension in Loose Side of Belt given Tension in Tight Side?
Belt Tension in Loose Side of Belt given Tension in Tight Side is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Belt Tension in Loose Side of Belt given Tension in Tight Side can be measured.
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