FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Displacement of Body in Simple Harmonic Motion Formula

Fx Copy

LaTeX Copy

Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point. Check FAQs

d = A' \cdot \sin (ω \cdot t sec)

d - Displacement of Body?A' - Vibrational Amplitude?ω - Angular Velocity?t_sec - Time in seconds?

Displacement of Body in Simple Harmonic Motion Example

With values

With units

Only example

Here is how the Displacement of Body in Simple Harmonic Motion equation looks like with Values.

Here is how the Displacement of Body in Simple Harmonic Motion equation looks like with Units.

Here is how the Displacement of Body in Simple Harmonic Motion equation looks like.

12.7793 = 13.2 \cdot \sin (0.2 \cdot 38)

12.7793m = 13.2m \cdot \sin (0.2rad/s \cdot 38s)

12.7793 = 13.2 \cdot \sin (0.2 \cdot 38)

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Mechanical Vibrations » fx Displacement of Body in Simple Harmonic Motion

Displacement of Body in Simple Harmonic Motion Solution

Follow our step by step solution on how to calculate Displacement of Body in Simple Harmonic Motion?

FIRST Step Consider the formula

d = A' \cdot \sin (ω \cdot t sec)

Next Step Substitute values of Variables

∴

d = 13.2m \cdot \sin (0.2rad/s \cdot 38s)

Next Step Prepare to Evaluate

∴

d = 13.2 \cdot \sin (0.2 \cdot 38)

Next Step Evaluate

∴

d = 12.7793079083715m

LAST Step Rounding Answer

∴

d = 12.7793m

Displacement of Body in Simple Harmonic Motion Formula Elements

Variables

Functions

Displacement of Body

Displacement of Body is the distance moved by an object from its mean position in a mechanical vibrating system, measured from a reference point.

Symbol: d

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Vibrational Amplitude

Vibrational Amplitude is the maximum displacement of an object from its equilibrium position during a mechanical vibration or oscillation.

Symbol: A'

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Vibrational Amplitude

Angular Velocity

Angular Velocity is the rate of change of angular displacement of an object rotating around a fixed axis in mechanical vibrations.

Symbol: ω

Measurement: Angular VelocityUnit: rad/s

Note: Value can be positive or negative.

Formulas to find Angular Velocity

Time in seconds

Time in seconds is the duration of an event or process in mechanical vibrations, typically measured in seconds to analyze vibrational patterns.

Symbol: t_sec

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time in seconds

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Elements of Vibration category

Go Velocity of Body in Simple Harmonic Motion

V = A' \cdot ω \cdot \cos (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion

a = A' \cdot ω^{2} \cdot \sin (ω \cdot t sec)

Go Magnitude of Acceleration of Body in Simple Harmonic Motion given Displacement

a = ω^{2} \cdot d

Go Damping Force

F d = c \cdot V

How to Evaluate Displacement of Body in Simple Harmonic Motion?

Displacement of Body in Simple Harmonic Motion evaluator uses Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds) to evaluate the Displacement of Body, Displacement of Body in Simple Harmonic Motion formula is defined as the maximum distance of an object from its mean position in a harmonic motion, which is a type of periodic motion where the object moves back and forth about a fixed point, and is commonly observed in mechanical vibrations. Displacement of Body is denoted by d symbol.

How to evaluate Displacement of Body in Simple Harmonic Motion using this online evaluator? To use this online evaluator for Displacement of Body in Simple Harmonic Motion, enter Vibrational Amplitude (A'), Angular Velocity (ω) & Time in seconds (t_sec) and hit the calculate button.

FAQs on Displacement of Body in Simple Harmonic Motion

What is the formula to find Displacement of Body in Simple Harmonic Motion?

The formula of Displacement of Body in Simple Harmonic Motion is expressed as Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds). Here is an example- 12.77931 = 13.2*sin(0.200022*38).

How to calculate Displacement of Body in Simple Harmonic Motion?

With Vibrational Amplitude (A'), Angular Velocity (ω) & Time in seconds (t_sec) we can find Displacement of Body in Simple Harmonic Motion using the formula - Displacement of Body = Vibrational Amplitude*sin(Angular Velocity*Time in seconds). This formula also uses Sine (sin) function(s).

Can the Displacement of Body in Simple Harmonic Motion be negative?

Yes, the Displacement of Body in Simple Harmonic Motion, measured in Length can be negative.

Which unit is used to measure Displacement of Body in Simple Harmonic Motion?

Displacement of Body in Simple Harmonic Motion is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Displacement of Body in Simple Harmonic Motion can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit