Displacement of body in simple harmonic motion Calculator

Category	Physics ↺
Physics	Mechanical vibrations ↺
Mechanical-Vibrations	Elements of vibration ↺

✖Amplitude is a measure of its change over a single period.ⓘ A			+10% -10%
✖The angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖time is what a clock reads, it is a scalar quantity.ⓘ Time [t]			+10% -10%

✖Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.ⓘ Displacement of body in simple harmonic motion [d]

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Displacement of body in simple harmonic motion

Chilvera Bhanu Teja

Institute of Aeronautical Engineering (IARE), Hyderabad

Chilvera Bhanu Teja has created this Calculator and 200+ more calculators!

Sagar S Kulkarni

Dayananda Sagar College of Engineering (DSCE), Bengaluru

Sagar S Kulkarni has verified this Calculator and 100+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Variation of acceleration due to gravity effect on the surface of earth

Variation of acceleration due to gravity=Acceleration Due To Gravity*(1-[Earth-R]*Angular Velocity/Acceleration Due To Gravity) GO

Angular Displacement if initial angular velocity, angular acceleration and time are given

Angular Displacement=(Angular Velocity*Time Taken to Travel)+((Angular Acceleration*(Time Taken to Travel)^2)/2) GO

Angular Displacement of body when initial and final angular velocity and angular acceleration are given

Angular Displacement=((Final Angular Velocity)^2-(Angular Velocity)^2)/(2*Angular Acceleration) GO

Angular Displacement if initial angular velocity, final angular velocity and time are given

Angular Displacement=((Angular Velocity+Final Angular Velocity)*Time Taken to Travel)/2 GO

Final Angular Velocity if initial angular velocity, angular acceleration and time is given

Final Angular Velocity=Angular Velocity+(Angular Acceleration*Time Taken to Travel) GO

angle traced in nth second( accelerated rotatory motion)

Angular Displacement=Angular Velocity+((Angular Acceleration*(2*Nth Second -1))/2) GO

Time Period for Alternating Current

Time Period Of Progressive Wave=(2*pi)/Angular Velocity GO

Capacitive Reactance

capacitive reactance=1/(Angular Velocity*Capacitance) GO

Angular Momentum

Angular Momentum=Moment of Inertia*Angular Velocity GO

Inductive Reactance

Inductive reactance=Angular Velocity*Inductance GO

Torque Of Series DC Generator Using Input Power

Torque=Input Power/Angular Velocity GO

< 8 Other formulas that calculate the same Output

Displacement of the roller of tangent cam with roller follower(contact with nose)

Displacement=Distance b/w roller centre and nose centre+Distance b/w cam center and nose center-(Distance b/w cam center and nose center*cos(Angle turned by cam when roller is at nose top))-sqrt((Distance b/w roller centre and nose centre^2)-((Distance b/w cam center and nose center^2)*((sin(Angle turned by cam when roller is at nose top))^2))) GO

Total displacement of the forced vibrations

Displacement=(A*cos(Circular damped frequency-Phase Constant))+((Static force*cos((Angular velocity*Time Period)-Phase Constant))/(sqrt(((Damping coefficient*Angular velocity)^2)-((Stiffness of spring-(Mass suspended from the spring*(Angular velocity^2)))^2)))) GO

Displacement of the follower after time t (Cycloidal motion)

Displacement=Stroke of the follower*((Angle through which the cam rotates/Angular displacement of the cam during out stroke)-sin((2*pi*Angle through which the cam rotates)/(Angular displacement of the cam during out stroke))) GO

Displacement of roller for tangent cam with roller follower(contact with straight flanks)

Displacement=(Radius of the base circle+Radius of the roller)*((1-cos(Angle turned by cam from beginning of roller))/cos(Angle turned by cam from beginning of roller)) GO

Displacement of the body in terms of stiffness of the constraint

Displacement=(-Load attached to the free end of constraint*Acceleration)/Stiffness of the constraint GO

Displacement of the follower for circular arc cam(contact on the circular flank)

Displacement=(Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam)) GO

Displacement of the mass from the mean position (underdamping)

Displacement=A*cos(Circular damped frequency*Time Period) GO

Total displacement of forced vibration in terms of particular integral and complementary function

Displacement=Particular integral+Complementary function GO

Displacement of body in simple harmonic motion Formula

Displacement=A*sin(Angular Velocity*Time)
d=A*sin(ω*t)

More formulas

velocity of body in simple harmonic motion GO

Magnitude of acceleration of body in simple harmonic motion GO

Magnitude of acceleration of body in simple harmonic motion if displacement is known GO

Damping force GO

Spring force GO

Inertia force GO

Angular frequency GO

Frequency if spring constant and mass is known GO

Maximum velocity of body in simple harmonic motion GO

Magnitude of maximum acceleration of body in simple harmonic motion GO

Period of motion in simple harmonic motion GO

Angular frequency if time period of motion is known GO

Work done by a harmonic force GO

What is simple harmonic motion?

Simple harmonic motion is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.

How to Calculate Displacement of body in simple harmonic motion?

Displacement of body in simple harmonic motion calculator uses Displacement=A*sin(Angular Velocity*Time) to calculate the Displacement, The Displacement of body in simple harmonic motion formula is defined as the product of amplitude and sine of product of angular velocity and time. Displacement and is denoted by d symbol.

How to calculate Displacement of body in simple harmonic motion using this online calculator? To use this online calculator for Displacement of body in simple harmonic motion, enter A (A), Angular Velocity (ω) and Time (t) and hit the calculate button. Here is how the Displacement of body in simple harmonic motion calculation can be explained with given input values -> 8.83649 = 200*sin(20*30).

FAQ

What is Displacement of body in simple harmonic motion?

The Displacement of body in simple harmonic motion formula is defined as the product of amplitude and sine of product of angular velocity and time and is represented as d=A*sin(ω*t) or Displacement=A*sin(Angular Velocity*Time). Amplitude is a measure of its change over a single period, The angular velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time and time is what a clock reads, it is a scalar quantity.

How to calculate Displacement of body in simple harmonic motion?

The Displacement of body in simple harmonic motion formula is defined as the product of amplitude and sine of product of angular velocity and time is calculated using Displacement=A*sin(Angular Velocity*Time). To calculate Displacement of body in simple harmonic motion, you need A (A), Angular Velocity (ω) and Time (t). With our tool, you need to enter the respective value for A, Angular Velocity and Time and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Displacement?

In this formula, Displacement uses A, Angular Velocity and Time. We can use 8 other way(s) to calculate the same, which is/are as follows -

Displacement=Stroke of the follower*((Angle through which the cam rotates/Angular displacement of the cam during out stroke)-sin((2*pi*Angle through which the cam rotates)/(Angular displacement of the cam during out stroke)))
Displacement=(Radius of the base circle+Radius of the roller)*((1-cos(Angle turned by cam from beginning of roller))/cos(Angle turned by cam from beginning of roller))
Displacement=Distance b/w roller centre and nose centre+Distance b/w cam center and nose center-(Distance b/w cam center and nose center*cos(Angle turned by cam when roller is at nose top))-sqrt((Distance b/w roller centre and nose centre^2)-((Distance b/w cam center and nose center^2)*((sin(Angle turned by cam when roller is at nose top))^2)))
Displacement=(Radius of circular flank-Radius of the base circle)*(1-cos(Angle turned by cam))
Displacement=(-Load attached to the free end of constraint*Acceleration)/Stiffness of the constraint
Displacement=A*cos(Circular damped frequency*Time Period)
Displacement=(A*cos(Circular damped frequency-Phase Constant))+((Static force*cos((Angular velocity*Time Period)-Phase Constant))/(sqrt(((Damping coefficient*Angular velocity)^2)-((Stiffness of spring-(Mass suspended from the spring*(Angular velocity^2)))^2))))
Displacement=Particular integral+Complementary function

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