Optimum Velocity of Belt for Maximum Power Transmission Calculator

✖Initial Tension in Belt is defined as the tension given to the belt drive at the beginning.ⓘ Initial Tension in Belt [P_i]			+10% -10%
✖Mass of Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.ⓘ Mass of Meter Length of Belt [m]			+10% -10%

✖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.ⓘ Optimum Velocity of Belt for Maximum Power Transmission [v_o]

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Formula

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Optimum Velocity of Belt for Maximum Power Transmission

Formula

v o = \sqrt{\frac{P i}{3 \cdot m}}

Example

19.36492 m/s = \sqrt{\frac{675 N}{3 \cdot 0.6 kg/m}}

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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))
v_o = sqrt(P_i/(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

v_o = sqrt(P_i/(3*m)) --> sqrt(675/(3*0.6))

Evaluating ... ...

v_o = 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)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

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

Go Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))

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

Optimum Velocity of Belt for Maximum Power Transmission Formula

Optimum Velocity of Belt = sqrt(Initial Tension in Belt/(3*Mass of Meter Length of Belt))
v_o = sqrt(P_i/(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, The Optimum Velocity of Belt for Maximum Power Transmission formula is defined as the velocity with which the body should be moving so that it can attain all the processes. Optimum Velocity of Belt is denoted by v_o 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 (P_i) & 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?

The Optimum Velocity of Belt for Maximum Power Transmission formula is defined as the velocity with which the body should be moving so that it can attain all the processes and is represented as v_o = sqrt(P_i/(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?

The Optimum Velocity of Belt for Maximum Power Transmission formula is defined as the velocity with which the body should be moving so that it can attain all the processes 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 (P_i) & 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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