Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress Calculator

✖Maximum Tension in Belt is the maximum amount of tensile force into the belt of a belt drive assembly.ⓘ Maximum Tension in Belt [P_max]			+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.ⓘ Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress [v_o]

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Formula

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Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress

Formula

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

Example

15.49193 m/s = \sqrt{\frac{1200 N}{3} \cdot 0.6 kg/m}

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Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt)
v_o = sqrt(P_max/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.
Maximum Tension in Belt - (Measured in Newton) - Maximum Tension in Belt is the maximum amount of tensile force into the belt of a belt drive assembly.
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

Maximum Tension in Belt: 1200 Newton --> 1200 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_max/3*m) --> sqrt(1200/3*0.6)

Evaluating ... ...

v_o = 15.4919333848297

STEP 3: Convert Result to Output's Unit

15.4919333848297 Meter per Second --> No Conversion Required

FINAL ANSWER

15.4919333848297 ≈ 15.49193 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

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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

Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress Formula

Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt)
v_o = sqrt(P_max/3*m)

Define Belt?

A belt is a loop of flexible material used to link two or more rotating shafts mechanically, most often parallel. Belts may be used as a source of motion, to transmit power efficiently or to track relative movement.

How to Calculate Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress?

Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress calculator uses Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt) to calculate the Optimum Velocity of Belt, The Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress formula is defined as the required velocity of the belt for maximum power transmission. Optimum Velocity of Belt is denoted by v_o symbol.

How to calculate Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress using this online calculator? To use this online calculator for Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress, enter Maximum Tension in Belt (P_max) & Mass of Meter Length of Belt (m) and hit the calculate button. Here is how the Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress calculation can be explained with given input values -> 15.49193 = sqrt(1200/3*0.6).

FAQ

What is Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress?

The Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress formula is defined as the required velocity of the belt for maximum power transmission and is represented as v_o = sqrt(P_max/3*m) or Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt). Maximum Tension in Belt is the maximum amount of tensile force into the belt of a belt drive assembly & 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 Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress?

The Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress formula is defined as the required velocity of the belt for maximum power transmission is calculated using Optimum Velocity of Belt = sqrt(Maximum Tension in Belt/3*Mass of Meter Length of Belt). To calculate Velocity of Belt for Maximum Power Transmission given Maximum Permissible tensile Stress, you need Maximum Tension in Belt (P_max) & Mass of Meter Length of Belt (m). With our tool, you need to enter the respective value for Maximum 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 Maximum 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(Initial Tension in Belt/(3*Mass of Meter Length of Belt))

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