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External Periodic Disturbing Force Formula

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External Periodic Disturbing Force is the force that causes vibrations in a system, resulting in oscillations at a specific frequency. Check FAQs

F = F x \cdot \cos (ω \cdot t p)

F - External Periodic Disturbing Force?F_x - Static Force?ω - Angular Velocity?t_p - Time Period?

External Periodic Disturbing Force Example

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Here is how the External Periodic Disturbing Force equation looks like with Values.

Here is how the External Periodic Disturbing Force equation looks like with Units.

Here is how the External Periodic Disturbing Force equation looks like.

16.8771 = 20 \cdot \cos (10 \cdot 1.2)

16.8771N = 20N \cdot \cos (10rad/s \cdot 1.2s)

16.8771 = 20 \cdot \cos (10 \cdot 1.2)

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External Periodic Disturbing Force Solution

Follow our step by step solution on how to calculate External Periodic Disturbing Force?

FIRST Step Consider the formula

F = F x \cdot \cos (ω \cdot t p)

Next Step Substitute values of Variables

∴

F = 20N \cdot \cos (10rad/s \cdot 1.2s)

Next Step Prepare to Evaluate

∴

F = 20 \cdot \cos (10 \cdot 1.2)

Next Step Evaluate

∴

F = 16.8770791746498N

LAST Step Rounding Answer

∴

F = 16.8771N

External Periodic Disturbing Force Formula Elements

Variables

Functions

External Periodic Disturbing Force

External Periodic Disturbing Force is the force that causes vibrations in a system, resulting in oscillations at a specific frequency.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find External Periodic Disturbing Force

Static Force

Static Force is the constant force applied to an object undergoing under damped forced vibrations, affecting its frequency of oscillations.

Symbol: F_x

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Static Force

Angular Velocity

Angular velocity is the rate of change of angular displacement over time, describing how fast an object rotates around a point or axis.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Velocity

Time Period

Time Period is the duration of one cycle of oscillation in under damped forced vibrations, where the system oscillates about a mean position.

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 Under Damped Forced Vibrations category

Go Static Force using Maximum Displacement or Amplitude of Forced Vibration

F x = d max \cdot (\sqrt{{(c \cdot ω)}^{2} - {(k - m \cdot ω^{2})}^{2}})

Go Static Force when Damping is Negligible

F x = d max \cdot (m) \cdot ({ω nat}^{2} - ω^{2})

Go Deflection of System under Static Force

x o = \frac{F x}{k}

Go Static Force

F x = x o \cdot k

How to Evaluate External Periodic Disturbing Force?

External Periodic Disturbing Force evaluator uses External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period) to evaluate the External Periodic Disturbing Force, External Periodic Disturbing Force formula is defined as a measure of the external force that causes a vibrating system to oscillate at a specific frequency, often observed in under-damped forced vibrations, where the force is periodic and disturbs the system's natural frequency, leading to a complex vibrational pattern. External Periodic Disturbing Force is denoted by F symbol.

How to evaluate External Periodic Disturbing Force using this online evaluator? To use this online evaluator for External Periodic Disturbing Force, enter Static Force (F_x), Angular Velocity (ω) & Time Period (t_p) and hit the calculate button.

FAQs on External Periodic Disturbing Force

What is the formula to find External Periodic Disturbing Force?

The formula of External Periodic Disturbing Force is expressed as External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period). Here is an example- 16.87708 = 20*cos(10*1.2).

How to calculate External Periodic Disturbing Force?

With Static Force (F_x), Angular Velocity (ω) & Time Period (t_p) we can find External Periodic Disturbing Force using the formula - External Periodic Disturbing Force = Static Force*cos(Angular Velocity*Time Period). This formula also uses Cosine (cos) function(s).

Can the External Periodic Disturbing Force be negative?

No, the External Periodic Disturbing Force, measured in Force cannot be negative.

Which unit is used to measure External Periodic Disturbing Force?

External Periodic Disturbing Force is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which External Periodic Disturbing Force can be measured.

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External Periodic Disturbing Force Formula

External Periodic Disturbing Force Example

External Periodic Disturbing Force Solution

External Periodic Disturbing Force Formula Elements

Other formulas in Frequency of Under Damped Forced Vibrations category

How to Evaluate External Periodic Disturbing Force?

FAQs on External Periodic Disturbing Force

Variable Name