Optimum Velocity of Belt for Maximum Power Transmission Solution

STEP 0: Pre-Calculation Summary
Formula Used
Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))
vo = sqrt(Pi/(3*m))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
Initial Tension in Belt - (Measured in Newton) - Initial Tension in Belt is defined as the tension given to the belt drive at the beginning.
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.
STEP 1: Convert Input(s) to Base Unit
Initial Tension in Belt: 675 Newton --> 675 Newton No Conversion Required
Mass of Meter Length of Belt: 0.6 Kilogram per Meter --> 0.6 Kilogram per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vo = sqrt(Pi/(3*m)) --> sqrt(675/(3*0.6))
Evaluating ... ...
vo = 19.3649167310371
STEP 3: Convert Result to Output's Unit
19.3649167310371 Meter per Second --> No Conversion Required
FINAL ANSWER
19.3649167310371 19.36492 Meter per Second <-- Optimum Velocity of Belt
(Calculation completed in 00.004 seconds)

Credits

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Created by Kethavath Srinath
Osmania University (OU), Hyderabad
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Verified by Urvi Rathod
Vishwakarma Government Engineering College (VGEC), Ahmedabad
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Maximum Power Conditions Calculators

Optimum Velocity of Belt for Maximum Power Transmission
​ LaTeX ​ Go Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))
Initial Tension in Belt Drive
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Belt Tension on Loose Side = 2*Initial Tension in Belt-Belt Tension on Tight Side

Optimum Velocity of Belt for Maximum Power Transmission Formula

​LaTeX ​Go
Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))
vo = sqrt(Pi/(3*m))

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 Optimum Velocity of Belt for Maximum Power Transmission?

Optimum Velocity of Belt for Maximum Power Transmission calculator uses Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt)) to calculate the Optimum Velocity of Belt, Optimum Velocity of Belt for Maximum Power Transmission formula is defined as the speed at which a belt operates to achieve the highest efficiency in power transfer, ensuring minimal energy loss and optimal performance in mechanical systems. Optimum Velocity of Belt is denoted by vo symbol.

How to calculate Optimum Velocity of Belt for Maximum Power Transmission using this online calculator? To use this online calculator for Optimum Velocity of Belt for Maximum Power Transmission, enter Initial Tension in Belt (Pi) & Mass of Meter Length of Belt (m) and hit the calculate button. Here is how the Optimum Velocity of Belt for Maximum Power Transmission calculation can be explained with given input values -> 19.36492 = sqrt(675/(3*0.6)).

FAQ

What is Optimum Velocity of Belt for Maximum Power Transmission?
Optimum Velocity of Belt for Maximum Power Transmission formula is defined as the speed at which a belt operates to achieve the highest efficiency in power transfer, ensuring minimal energy loss and optimal performance in mechanical systems and is represented as vo = sqrt(Pi/(3*m)) or Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt)). Initial Tension in Belt is defined as the tension given to the belt drive at the beginning & Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.
How to calculate Optimum Velocity of Belt for Maximum Power Transmission?
Optimum Velocity of Belt for Maximum Power Transmission formula is defined as the speed at which a belt operates to achieve the highest efficiency in power transfer, ensuring minimal energy loss and optimal performance in mechanical systems is calculated using Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt)). To calculate Optimum Velocity of Belt for Maximum Power Transmission, you need Initial Tension in Belt (Pi) & Mass of Meter Length of Belt (m). With our tool, you need to enter the respective value for Initial Tension in Belt & Mass of Meter Length 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 Optimum Velocity of Belt?
In this formula, Optimum Velocity of Belt uses Initial Tension in Belt & Mass of Meter Length of Belt. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt)
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