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Displacement of Mass from Mean Position Formula

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Total Displacement is a vector quantity that represents the change in an object's position from its initial position. Check FAQs

d mass = A \cdot \cos (ω d \cdot t p)

d_mass - Total Displacement?A - Amplitude Vibration?ω_d - Circular Damped Frequency?t_p - Time Period?

Displacement of Mass from Mean Position Example

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Here is how the Displacement of Mass from Mean Position equation looks like with Values.

Here is how the Displacement of Mass from Mean Position equation looks like with Units.

Here is how the Displacement of Mass from Mean Position equation looks like.

6.3469 = 10 \cdot \cos (6 \cdot 0.9)

6.3469mm = 10mm \cdot \cos (6 \cdot 0.9s)

6.3469 = 10 \cdot \cos (6 \cdot 0.9)

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Displacement of Mass from Mean Position Solution

Follow our step by step solution on how to calculate Displacement of Mass from Mean Position?

FIRST Step Consider the formula

d mass = A \cdot \cos (ω d \cdot t p)

Next Step Substitute values of Variables

∴

d mass = 10mm \cdot \cos (6 \cdot 0.9s)

Next Step Convert Units

∴

d mass = 0.01m \cdot \cos (6 \cdot 0.9s)

Next Step Prepare to Evaluate

∴

d mass = 0.01 \cdot \cos (6 \cdot 0.9)

Next Step Evaluate

∴

d mass = 0.00634692875942635m

Next Step Convert to Output's Unit

∴

d mass = 6.34692875942635mm

LAST Step Rounding Answer

∴

d mass = 6.3469mm

Displacement of Mass from Mean Position Formula Elements

Variables

Functions

Total Displacement

Total Displacement is a vector quantity that represents the change in an object's position from its initial position.

Symbol: d_mass

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Displacement

Amplitude Vibration

Amplitude Vibration is the greatest distance that a wave, especially a sound or radio wave, moves up and down.

Symbol: A

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Amplitude Vibration

Circular Damped Frequency

Circular Damped Frequency refers to the angular displacement per unit time.

Symbol: ω_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Circular Damped Frequency

Time Period

Time Period is the time taken by a complete cycle of the wave to pass a point.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Frequency of Free Damped Vibrations category

Go Condition for Critical Damping

c c = 2 \cdot m \cdot \sqrt{\frac{k}{m}}

Go Critical Damping Coefficient

c c = 2 \cdot m \cdot ω n

Go Damping Factor

ζ = \frac{c}{c c}

Go Damping Factor given Natural Frequency

ζ = \frac{c}{2 \cdot m \cdot ω n}

How to Evaluate Displacement of Mass from Mean Position?

Displacement of Mass from Mean Position evaluator uses Total Displacement = Amplitude Vibration*cos(Circular Damped Frequency*Time Period) to evaluate the Total Displacement, Displacement of Mass from Mean Position formula is defined as a measure of the distance of an object from its mean position in a vibrational motion, describing the oscillatory behavior of an object in a damped vibration system, providing insight into the frequency of free damped vibrations. Total Displacement is denoted by d_mass symbol.

How to evaluate Displacement of Mass from Mean Position using this online evaluator? To use this online evaluator for Displacement of Mass from Mean Position, enter Amplitude Vibration (A), Circular Damped Frequency (ω_d) & Time Period (t_p) and hit the calculate button.

FAQs on Displacement of Mass from Mean Position

What is the formula to find Displacement of Mass from Mean Position?

The formula of Displacement of Mass from Mean Position is expressed as Total Displacement = Amplitude Vibration*cos(Circular Damped Frequency*Time Period). Here is an example- 6603.167 = 0.01*cos(6*0.9).

How to calculate Displacement of Mass from Mean Position?

With Amplitude Vibration (A), Circular Damped Frequency (ω_d) & Time Period (t_p) we can find Displacement of Mass from Mean Position using the formula - Total Displacement = Amplitude Vibration*cos(Circular Damped Frequency*Time Period). This formula also uses Cosine (cos) function(s).

Can the Displacement of Mass from Mean Position be negative?

No, the Displacement of Mass from Mean Position, measured in Length cannot be negative.

Which unit is used to measure Displacement of Mass from Mean Position?

Displacement of Mass from Mean Position is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Displacement of Mass from Mean Position can be measured.

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Displacement of Mass from Mean Position Formula

Displacement of Mass from Mean Position Example

Displacement of Mass from Mean Position Solution

Displacement of Mass from Mean Position Formula Elements

Other formulas in Frequency of Free Damped Vibrations category

How to Evaluate Displacement of Mass from Mean Position?

FAQs on Displacement of Mass from Mean Position

Variable Name