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Belt Tension in the Tight Side Solution

STEP 0: Pre-Calculation Summary
Formula Used
belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2
P1 = (e^μ*θ)*(P2-m*v^2)+m*v^2
This formula uses 1 Constants, 5 Variables
Constants Used
e - Napier's constant Value Taken As 2.71828182845904523536028747135266249
Variables Used
Coefficient of Friction- The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1.
Angle of Wrap - Angle of Wrap is defined as the distance, expressed in degrees. (Measured in Radian)
Belt Tension in loose Side - Belt Tension in loose Side is defined as the tension of the belt in the loose side of the belt. (Measured in Newton)
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.
Belt Velocity - Belt Velocity is defined as the velocity of the belt used in a belt drive. (Measured in Meter per Second)
STEP 1: Convert Input(s) to Base Unit
Coefficient of Friction: 0.2 --> No Conversion Required
Angle of Wrap: 100 Radian --> 100 Radian No Conversion Required
Belt Tension in loose Side: 50 Newton --> 50 Newton No Conversion Required
Mass of Meter Length of Belt: 10 --> No Conversion Required
Belt Velocity: 30 Meter per Second --> 30 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P1 = (e^μ*θ)*(P2-m*v^2)+m*v^2 --> (e^0.2*100)*(50-10*30^2)+10*30^2
Evaluating ... ...
P1 = -1084155.46855335
STEP 3: Convert Result to Output's Unit
-1084155.46855335 Newton --> No Conversion Required
FINAL ANSWER
-1084155.46855335 Newton <-- Belt Tension in Tight Side
(Calculation completed in 00.016 seconds)

10+ Design of Belt Drives Calculators

Belt Tension in the Tight Side
belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2 Go
Length of the Belt
belt_length = 2*Center Distance+(pi*(Diameter of Big Pulley+Diameter of Small Pulley)/2)+((Diameter of Big Pulley-Diameter of Small Pulley)^2/4*Center Distance) Go
Center Distance from Small Pulley to Big Pulley When Wrap Angle of Small Pulley is Given
center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle for Small Pulley)/2)) Go
Center Distance from Small Pulley to Big Pulley When Wrap Angle of Big Pulley is Given
center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2)) Go
Wrap Angle for the Small Pulley
wrap_angle_for_small_pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance) Go
Diameter of Small Pully When Wrap Angle of the Big Pulley is Given
diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2) Go
Diameter of Big Pulley When Wrap Angle for the Big Pulley is Given
diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2) Go
Diameter of Small Pulley When Wrap Angle of Small Pulley is Given
diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2) Go
Diameter of Big Pulley When Wrap Angle of Small Pulley is Given
diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2) Go
Wrap Angle for the Big Pulley
wrap_angle_for_big_pulley = 3.14+2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance) Go

Belt Tension in the Tight Side Formula

belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2
P1 = (e^μ*θ)*(P2-m*v^2)+m*v^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 the Tight Side?

Belt Tension in the Tight Side calculator uses belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2 to calculate the Belt Tension in Tight Side, The Belt Tension in the Tight Side formula is defined as the force acting on the tighter side of the belt. Belt Tension in Tight Side and is denoted by P1 symbol.

How to calculate Belt Tension in the Tight Side using this online calculator? To use this online calculator for Belt Tension in the Tight Side, enter Coefficient of Friction (μ), Angle of Wrap (θ), Belt Tension in loose Side (P2), Mass of Meter Length of Belt (m) and Belt Velocity (v) and hit the calculate button. Here is how the Belt Tension in the Tight Side calculation can be explained with given input values -> -1084155.468553 = (e^0.2*100)*(50-10*30^2)+10*30^2.

FAQ

What is Belt Tension in the Tight Side?
The Belt Tension in the Tight Side formula is defined as the force acting on the tighter side of the belt and is represented as P1 = (e^μ*θ)*(P2-m*v^2)+m*v^2 or belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2. The Coefficient of Friction (μ) is the ratio defining the force that resists the motion of one body in relation to another body in contact with it. This ratio is dependent on material properties and most materials have a value between 0 and 1. , Angle of Wrap is defined as the distance, expressed in degrees, Belt Tension in loose Side is defined as the tension of the belt in the loose side of the 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 and Belt Velocity is defined as the velocity of the belt used in a belt drive.
How to calculate Belt Tension in the Tight Side?
The Belt Tension in the Tight Side formula is defined as the force acting on the tighter side of the belt is calculated using belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2. To calculate Belt Tension in the Tight Side, you need Coefficient of Friction (μ), Angle of Wrap (θ), Belt Tension in loose Side (P2), Mass of Meter Length of Belt (m) and Belt Velocity (v). With our tool, you need to enter the respective value for Coefficient of Friction, Angle of Wrap, Belt Tension in loose Side, Mass of Meter Length of Belt and 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 in Tight Side?
In this formula, Belt Tension in Tight Side uses Coefficient of Friction, Angle of Wrap, Belt Tension in loose Side, Mass of Meter Length of Belt and Belt Velocity. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • wrap_angle_for_small_pulley = 3.14-2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance)
  • center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((3.14-Wrap Angle for Small Pulley)/2))
  • diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2)
  • diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((3.14-Wrap Angle for Small Pulley)/2)
  • wrap_angle_for_big_pulley = 3.14+2*asin((Diameter of Big Pulley-Diameter of Small Pulley)/2*Center Distance)
  • center_distance = (Diameter of Big Pulley-Diameter of Small Pulley)/(2*sin((Wrap Angle for Small Pulley-3.14)/2))
  • diameter_of_small_pulley = Diameter of Big Pulley-2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)
  • diameter_of_big_pulley = Diameter of Small Pulley+2*Center Distance*sin((Wrap Angle for Small Pulley-3.14)/2)
  • belt_length = 2*Center Distance+(pi*(Diameter of Big Pulley+Diameter of Small Pulley)/2)+((Diameter of Big Pulley-Diameter of Small Pulley)^2/4*Center Distance)
  • belt_tension_in_tight_side = (e^Coefficient of Friction*Angle of Wrap)*(Belt Tension in loose Side-Mass of Meter Length of Belt*Belt Velocity^2)+Mass of Meter Length of Belt*Belt Velocity^2
Where is the Belt Tension in the Tight Side calculator used?
Among many, Belt Tension in the Tight Side calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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