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 Meter Length of Belt is the mass of 1-meter length of the belt simply mass per unit length of the belt.ⓘ Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt [m]

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Formula

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

Formula

m = \frac{P max}{3 \cdot {v o}^{2}}

Example

1.067209 kg/m = \frac{1200 N}{3 \cdot {19.36 m/s}^{2}}

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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 Meter Length of Belt = 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 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.
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: 19.36 Meter per Second --> 19.36 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

m = P_max/(3*v_o^2) --> 1200/(3*19.36^2)

Evaluating ... ...

m = 1.06720852400792

STEP 3: Convert Result to Output's Unit

1.06720852400792 Kilogram per Meter --> No Conversion Required

FINAL ANSWER

1.06720852400792 ≈ 1.067209 Kilogram per Meter <-- Mass of Meter Length 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

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

Mass of Meter Length of Belt = 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 Meter Length of Belt = Maximum 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 Maximum Permissible Tensile Stress of Belt formula is defined as the mass of the belt per one meter length of the belt. Mass of Meter Length of Belt 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 -> 1.067209 = 1200/(3*19.36^2).

FAQ

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

The Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt formula is defined as the mass of the belt per one meter length of the belt and is represented as m = P_max/(3*v_o^2) or Mass of Meter Length of Belt = 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?

The Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt formula is defined as the mass of the belt per one meter length of the belt is calculated using Mass of Meter Length of Belt = 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 Meter Length of Belt?

In this formula, Mass of Meter Length of Belt uses Maximum 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 = Initial Tension in Belt/3*Optimum Velocity of Belt^2
Mass of Meter Length of Belt = Belt Tension due to Centrifugal Force/Belt Velocity^2

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