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

GoMass of One Meter Length of Belt given Velocity for Maximum Power Transmission Formula

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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. Check FAQs

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

m' - Mass of One Meter Length?P_max - Maximum Tension in Belt?v_o - Optimum Velocity of Belt?

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

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Here is how the Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt equation looks like with Values.

Here is how the Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt equation looks like with Units.

Here is how the Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt equation looks like.

1.0338 = \frac{1200}{3 \cdot {19.67}^{2}}

1.0338kg/m = \frac{1200N}{3 \cdot {19.67m/s}^{2}}

1.0338 = \frac{1200}{3 \cdot {19.67}^{2}}

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

Follow our step by step solution on how to calculate Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

m' = \frac{1200N}{3 \cdot {19.67m/s}^{2}}

Next Step Prepare to Evaluate

∴

m' = \frac{1200}{3 \cdot {19.67}^{2}}

Next Step Evaluate

∴

m' = 1.03383509658217kg/m

LAST Step Rounding Answer

∴

m' = 1.0338kg/m

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

Variables

Mass of One Meter Length

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.

Symbol: m'

Measurement: Linear Mass DensityUnit: kg/m

Note: Value should be greater than 0.

Formulas to find Mass of One Meter Length

Maximum Tension in Belt

Maximum Tension in Belt is the maximum amount of tensile force into the belt of a belt drive assembly.

Symbol: P_max

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Maximum Tension in Belt

Optimum Velocity of Belt

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.

Symbol: v_o

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Optimum Velocity of Belt

Other Formulas to find Mass of One Meter Length

Go Mass of One Meter Length of Belt given Velocity for Maximum Power Transmission

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

Other formulas in Maximum Power Conditions category

Go Initial Tension in Belt Drive

P i = \frac{P 1 + P 2}{2}

Go Belt Tension in Tight Side of Belt given Initial Tension in Belt

P 1 = 2 \cdot P i - P 2

Go Belt Tension in Loose Side of Belt given Initial Tension in Belt

P 2 = 2 \cdot P i - P 1

Go Optimum Velocity of Belt for Maximum Power Transmission

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

How to Evaluate 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 evaluator uses Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2) to evaluate 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 evaluate Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt?

The formula of Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt is expressed as Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2). Here is an example- 1.033835 = 1200/(3*19.67^2).

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

With Maximum Tension in Belt (P_max) & Optimum Velocity of Belt (v_o) we can find Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt using the formula - Mass of One Meter Length = Maximum Tension in Belt/(3*Optimum Velocity of Belt^2).

What are the other ways to Calculate Mass of One Meter Length?

Here are the different ways to Calculate Mass of One Meter Length-

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

Can the Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt be negative?

No, the Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt, measured in Linear Mass Density cannot be negative.

Which unit is used to measure 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 is usually measured using the Kilogram per Meter[kg/m] for Linear Mass Density. Gram per Meter[kg/m] are the few other units in which Mass of One Meter Length of Belt given Maximum Permissible Tensile Stress of Belt can be measured.

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

​GoMass of One Meter Length of Belt given Velocity for Maximum Power Transmission Formula

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

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

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

Other Formulas to find Mass of One Meter Length

Other formulas in Maximum Power Conditions category

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

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

Variable Name

GoMass of One Meter Length of Belt given Velocity for Maximum Power Transmission Formula