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Total Mass of Constraint for Transverse Vibrations Formula

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Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia. Check FAQs

m c = \frac{280 \cdot KE}{33 \cdot {V traverse}^{2}}

m_c - Total Mass of Constraint?KE - Kinetic Energy?V_traverse - Transverse Velocity of Free End?

Total Mass of Constraint for Transverse Vibrations Example

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Here is how the Total Mass of Constraint for Transverse Vibrations equation looks like with Values.

Here is how the Total Mass of Constraint for Transverse Vibrations equation looks like with Units.

Here is how the Total Mass of Constraint for Transverse Vibrations equation looks like.

28.125 = \frac{280 \cdot 75}{33 \cdot {4.7567}^{2}}

28.125kg = \frac{280 \cdot 75J}{33 \cdot {4.7567m/s}^{2}}

28.125 = \frac{280 \cdot 75}{33 \cdot {4.7567}^{2}}

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Total Mass of Constraint for Transverse Vibrations Solution

Follow our step by step solution on how to calculate Total Mass of Constraint for Transverse Vibrations?

FIRST Step Consider the formula

m c = \frac{280 \cdot KE}{33 \cdot {V traverse}^{2}}

Next Step Substitute values of Variables

∴

m c = \frac{280 \cdot 75J}{33 \cdot {4.7567m/s}^{2}}

Next Step Prepare to Evaluate

∴

m c = \frac{280 \cdot 75}{33 \cdot {4.7567}^{2}}

Next Step Evaluate

∴

m c = 28.1250014200483kg

LAST Step Rounding Answer

∴

m c = 28.125kg

Total Mass of Constraint for Transverse Vibrations Formula Elements

Variables

Total Mass of Constraint

Total Mass of Constraint is the total mass of the constraint that affects the longitudinal and transverse vibrations of an object due to its inertia.

Symbol: m_c

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Total Mass of Constraint

Kinetic Energy

Kinetic Energy is the energy of motion of an object, influenced by the inertia of constraint in longitudinal and transverse vibrations, affecting its oscillatory behavior.

Symbol: KE

Measurement: EnergyUnit: J

Note: Value can be positive or negative.

Formulas to find Kinetic Energy

Transverse Velocity of Free End

Transverse Velocity of Free End is the velocity of the free end of a vibrating system, influenced by the inertia of constraints in longitudinal and transverse vibrations.

Symbol: V_traverse

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Transverse Velocity of Free End

Other formulas in Transverse Vibration category

Go Velocity of Small Element for Transverse Vibrations

v s = \frac{(3 \cdot l \cdot x^{2} - x^{3}) \cdot V traverse}{2 \cdot l^{3}}

Go Total Kinetic Energy of Constraint for Transverse Vibrations

KE = \frac{33 \cdot m c \cdot {V traverse}^{2}}{280}

Go Transverse Velocity of Free End

V traverse = \sqrt{\frac{280 \cdot KE}{33 \cdot m c}}

Go Natural Frequency of Transverse Vibration

f = \frac{\sqrt{\frac{s constrain}{W attached + m c \cdot \frac{33}{140}}}}{2 \cdot π}

How to Evaluate Total Mass of Constraint for Transverse Vibrations?

Total Mass of Constraint for Transverse Vibrations evaluator uses Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2) to evaluate the Total Mass of Constraint, Total Mass of Constraint for Transverse Vibrations formula is defined as a measure of the mass of the constraint that affects the transverse vibrations of a system, taking into account the kinetic energy and traverse velocity of the system, which is essential in understanding the effect of inertia of constraint in longitudinal and transverse vibrations. Total Mass of Constraint is denoted by m_c symbol.

How to evaluate Total Mass of Constraint for Transverse Vibrations using this online evaluator? To use this online evaluator for Total Mass of Constraint for Transverse Vibrations, enter Kinetic Energy (KE) & Transverse Velocity of Free End (V_traverse) and hit the calculate button.

FAQs on Total Mass of Constraint for Transverse Vibrations

What is the formula to find Total Mass of Constraint for Transverse Vibrations?

The formula of Total Mass of Constraint for Transverse Vibrations is expressed as Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2). Here is an example- 28.12508 = (280*75)/(33*4.756707^2).

How to calculate Total Mass of Constraint for Transverse Vibrations?

With Kinetic Energy (KE) & Transverse Velocity of Free End (V_traverse) we can find Total Mass of Constraint for Transverse Vibrations using the formula - Total Mass of Constraint = (280*Kinetic Energy)/(33*Transverse Velocity of Free End^2).

Can the Total Mass of Constraint for Transverse Vibrations be negative?

No, the Total Mass of Constraint for Transverse Vibrations, measured in Weight cannot be negative.

Which unit is used to measure Total Mass of Constraint for Transverse Vibrations?

Total Mass of Constraint for Transverse Vibrations is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Total Mass of Constraint for Transverse Vibrations can be measured.

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