Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2
m = Pi/3*vo^2
This formula uses 3 Variables
Variables Used
Mass of Meter Length of Belt - (Measured in Kilogram per Meter) - Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
Initial Tension in Belt - (Measured in Newton) - Initial Tension in Belt is defined as the tension given to the belt drive at the beginning.
Optimum Velocity of Belt - (Measured in Meter per Second) - The Optimum Velocity of Belt is defined as the velocity with which the belt should be moving so that it can attain maximum power transmission.
STEP 1: Convert Input(s) to Base Unit
Initial Tension in Belt: 675 Newton --> 675 Newton No Conversion Required
Optimum Velocity of Belt: 19.36 Meter per Second --> 19.36 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
m = Pi/3*vo^2 --> 675/3*19.36^2
Evaluating ... ...
m = 84332.16
STEP 3: Convert Result to Output's Unit
84332.16 Kilogram per Meter --> No Conversion Required
FINAL ANSWER
84332.16 Kilogram per Meter <-- Mass of Meter Length of Belt
(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad
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21 Maximum Power Conditions Calculators

Optimum Velocity of Belt for Maximum Power Transmission
Go Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))
Belt Velocity given Tension in Belt Due to Centrifugal Force
Go Belt Velocity = sqrt(Belt Tension due to Centrifugal Force/Mass of Meter Length of Belt)
Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress
Go Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt)
Maximum Permissible Tensile Stress of Belt Material
Go Tensile Stress in Belt = Maximum Tension in Belt/(Width of Belt*Thickness of Belt)
Thickness of Belt given Maximum Belt Tension
Go Thickness of Belt = Maximum Tension in Belt/(Tensile Stress in Belt*Width of Belt)
Width of Belt given Maximum Belt Tension
Go Width of Belt = Maximum Tension in Belt/(Tensile Stress in Belt*Thickness of Belt)
Maximum Belt Tension
Go Maximum Tension in Belt = Tensile Stress in Belt*Width of Belt*Thickness of Belt
Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt
Go Mass of Meter Length of Belt = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2)
Mass of One Meter Length of Belt given Tension in Belt Due to Centrifugal Force
Go Mass of Meter Length of Belt = Belt Tension due to Centrifugal Force/Belt Velocity^2
Tension in Belt Due to Centrifugal Force
Go Belt Tension due to Centrifugal Force = Mass of Meter Length of Belt*Belt Velocity^2
Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission
Go Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2
Initial Tension in Belt given Velocity of Belt for Maximum Power Transmission
Go Initial Tension in Belt = 3*Mass of Meter Length of Belt*Optimum Velocity of Belt^2
Initial Tension in Belt Drive
Go Initial Tension in Belt = (Belt Tension on Tight Side+Belt Tension on Loose Side)/2
Belt Tension in Tight Side of Belt given Initial Tension in Belt
Go Belt Tension on Tight Side = 2*Initial Tension in Belt-Belt Tension on Loose Side
Belt Tension in Loose Side of Belt given Initial Tension in Belt
Go Belt Tension on Loose Side = 2*Initial Tension in Belt-Belt Tension on Tight Side
Load Correction Factor given Power Transmitted by Flat Belt for Design Purpose
Go Load Correction Factor = Design Power of Belt Drive/Power transmitted by belt
Actual Power Transmitted given Power Transmitted by Flat for Design Purpose
Go Power transmitted by belt = Design Power of Belt Drive/Load Correction Factor
Power Transmitted by Flat Belt for Design Purpose
Go Design Power of Belt Drive = Power transmitted by belt*Load Correction Factor
Belt Tension in Tight Side of Belt given Tension due to Centrifugal Force
Go Belt Tension on Tight Side = 2*Belt Tension due to Centrifugal Force
Tension in Belt Due to Centrifugal Force given Permissible Tensile Stress of Belt Material
Go Belt Tension due to Centrifugal Force = Maximum Tension in Belt/3
Maximum Belt Tension given Tension Due to Centrifugal Force
Go Maximum Tension in Belt = 3*Belt Tension due to Centrifugal Force

Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission Formula

Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2
m = Pi/3*vo^2

Defiine Optimum Velocity of a Body?

Optimum velocity is the velocity with which the body should be moving so that it can attain all the processes. For example there is optimum velocity for the body to be in stream lined motion and so on.Maximum means overlimit while optimum means right/perfect amount.

How to Calculate Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission?

Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission calculator uses Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2 to calculate the Mass of Meter Length of Belt, The Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission formula is defined as the mass of the belt per one meter length. Mass of Meter Length of Belt is denoted by m symbol.

How to calculate Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission using this online calculator? To use this online calculator for Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission, enter Initial Tension in Belt (Pi) & Optimum Velocity of Belt (vo) and hit the calculate button. Here is how the Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission calculation can be explained with given input values -> 84332.16 = 675/3*19.36^2.

FAQ

What is Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission?
The Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission formula is defined as the mass of the belt per one meter length and is represented as m = Pi/3*vo^2 or Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2. Initial Tension in Belt is defined as the tension given to the belt drive at the beginning & The Optimum Velocity of Belt is defined as the velocity with which the belt should be moving so that it can attain maximum power transmission.
How to calculate Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission?
The Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission formula is defined as the mass of the belt per one meter length is calculated using Mass of Meter Length of Belt = Initial Tension in Belt/3*Optimum Velocity of Belt^2. To calculate Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission, you need Initial Tension in Belt (Pi) & Optimum Velocity of Belt (vo). With our tool, you need to enter the respective value for Initial Tension in Belt & Optimum Velocity of Belt 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 Mass of Meter Length of Belt?
In this formula, Mass of Meter Length of Belt uses Initial Tension in Belt & Optimum Velocity of Belt. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Mass of Meter Length of Belt = Belt Tension due to Centrifugal Force/Belt Velocity^2
  • Mass of Meter Length of Belt = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2)
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