Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt 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%
✖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 [v_o]			+10% -10%

✖Mass of One Meter Length refers to the weight per unit length of the belt material, It is crucial when designing belt drives to ensure proper tension and avoid slippage.ⓘ Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt [m']

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Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2)
m' = P_max/(3*v_o^2)
This formula uses 3 Variables

Variables Used

Mass of One Meter Length - (Measured in Kilogram per Meter) - Mass of One Meter Length refers to the weight per unit length of the belt material, It is crucial when designing belt drives to ensure proper tension and avoid slippage.
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.
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

Maximum Tension in Belt: 1200 Newton --> 1200 Newton No Conversion Required
Optimum Velocity of Belt: 19.67 Meter per Second --> 19.67 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m' = P_max/(3*v_o^2) --> 1200/(3*19.67^2)

Evaluating ... ...

m' = 1.03383509658217

STEP 3: Convert Result to Output's Unit

1.03383509658217 Kilogram per Meter --> No Conversion Required

FINAL ANSWER

1.03383509658217 ≈ 1.033835 Kilogram per Meter <-- Mass of One Meter Length

(Calculation completed in 00.004 seconds)

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Osmania University (OU), Hyderabad

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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

Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt Formula

LaTeX Go

Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2)
m' = P_max/(3*v_o^2)

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 Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt?

Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt calculator uses Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2) to calculate the Mass of One Meter Length, Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt formula is defined as a method to determine the mass of a belt per meter based on its maximum allowable tensile stress, ensuring optimal performance in belt drive systems. Mass of One Meter Length is denoted by m' symbol.

How to calculate Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt using this online calculator? To use this online calculator for Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt, enter Maximum Tension in Belt (P_max) & Optimum Velocity of Belt (v_o) and hit the calculate button. Here is how the Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt calculation can be explained with given input values -> 1.033835 = 1200/(3*19.67^2).

FAQ

What is Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt?

Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt formula is defined as a method to determine the mass of a belt per meter based on its maximum allowable tensile stress, ensuring optimal performance in belt drive systems and is represented as m' = P_max/(3*v_o^2) or Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2). Maximum Tension in Belt is the maximum amount of tensile force into the belt of a belt drive assembly & 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 Maximum Permissible Tensile Stress of Belt?

Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt formula is defined as a method to determine the mass of a belt per meter based on its maximum allowable tensile stress, ensuring optimal performance in belt drive systems is calculated using Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2). To calculate Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt, you need Maximum Tension in Belt (P_max) & Optimum Velocity of Belt (v_o). With our tool, you need to enter the respective value for Maximum 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 One Meter Length?

In this formula, Mass of One Meter Length uses Maximum Tension in Belt & Optimum Velocity of Belt. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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