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Mass of Particle given Angular Frequency Formula

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Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it. Check FAQs

M = \frac{K}{ω^{2}}

M - Mass?K - Spring Constant?ω - Angular Frequency?

Mass of Particle given Angular Frequency Example

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Here is how the Mass of Particle given Angular Frequency equation looks like with Values.

Here is how the Mass of Particle given Angular Frequency equation looks like with Units.

Here is how the Mass of Particle given Angular Frequency equation looks like.

35.45 = \frac{3750}{{10.2851}^{2}}

35.45kg = \frac{3750}{{10.2851rev/s}^{2}}

35.45 = \frac{3750}{{10.2851}^{2}}

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Mass of Particle given Angular Frequency Solution

Follow our step by step solution on how to calculate Mass of Particle given Angular Frequency?

FIRST Step Consider the formula

M = \frac{K}{ω^{2}}

Next Step Substitute values of Variables

∴

M = \frac{3750}{{10.2851rev/s}^{2}}

Next Step Convert Units

∴

M = \frac{3750}{{10.2851Hz}^{2}}

Next Step Prepare to Evaluate

∴

M = \frac{3750}{{10.2851}^{2}}

Next Step Evaluate

∴

M = 35.4499738804887kg

LAST Step Rounding Answer

∴

M = 35.45kg

Mass of Particle given Angular Frequency Formula Elements

Variables

Mass

Mass is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass

Spring Constant

Spring Constant is the force needed to stretch or compress a spring, divided by the distance that the spring gets longer or shorter.

Symbol: K

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Spring Constant

Angular Frequency

Angular Frequency of a steadily recurring phenomenon expressed in radians per second.

Symbol: ω

Measurement: FrequencyUnit: rev/s

Note: Value should be greater than 0.

Formulas to find Angular Frequency

Other formulas in Basic SHM Equations category

Go Time Period of SHM

t p = \frac{2 \cdot π}{ω}

Go Frequency of SHM

f = \frac{1}{t p}

Go Angular Frequency in SHM

ω = \frac{2 \cdot π}{t p}

Go Position of Particle in SHM

X = \frac{\sin (ω \cdot t p + θ)}{A}

How to Evaluate Mass of Particle given Angular Frequency?

Mass of Particle given Angular Frequency evaluator uses Mass = Spring Constant/(Angular Frequency^2) to evaluate the Mass, Mass of Particle given Angular Frequency formula is defined as a measure of the mass of a particle in simple harmonic motion, calculated by dividing the spring constant by the square of the angular frequency, providing a fundamental relationship between the particle's motion and its mass. Mass is denoted by M symbol.

How to evaluate Mass of Particle given Angular Frequency using this online evaluator? To use this online evaluator for Mass of Particle given Angular Frequency, enter Spring Constant (K) & Angular Frequency (ω) and hit the calculate button.

FAQs on Mass of Particle given Angular Frequency

What is the formula to find Mass of Particle given Angular Frequency?

The formula of Mass of Particle given Angular Frequency is expressed as Mass = Spring Constant/(Angular Frequency^2). Here is an example- 35.48502 = 3750/(10.28508^2).

How to calculate Mass of Particle given Angular Frequency?

With Spring Constant (K) & Angular Frequency (ω) we can find Mass of Particle given Angular Frequency using the formula - Mass = Spring Constant/(Angular Frequency^2).

Can the Mass of Particle given Angular Frequency be negative?

No, the Mass of Particle given Angular Frequency, measured in Weight cannot be negative.

Which unit is used to measure Mass of Particle given Angular Frequency?

Mass of Particle given Angular Frequency is usually measured using the Kilogram[kg] for Weight. Gram[kg], Milligram[kg], Ton (Metric)[kg] are the few other units in which Mass of Particle given Angular Frequency can be measured.

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