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

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✖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%
✖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 [d]			+10% -10%

✖Acceleration is the rate of change in velocity to the change in time.ⓘ Magnitude of acceleration of body in simple harmonic motion if displacement is known [a]

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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

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< 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

Periodic time for SHM

Time Period SHM=2*pi*sqrt(Displacement/Acceleration Due To Gravity) GO

Angular Momentum

Angular Momentum=Moment of Inertia*Angular Velocity GO

Mean Effective Pressure

mean effective pressure=Work /Displacement GO

Work

Work =Force*Displacement*cos(Angle A) GO

Torque

Torque=Force*Displacement*sin(θ) GO

< 11 Other formulas that calculate the same Output

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

Acceleration=((Angular velocity of the cam^2)*Distance b/w cam center and nose center)*((cos(Angle turned by cam when roller is at nose top))+((((Distance b/w roller centre and nose centre^2)*Distance b/w cam center and nose center*cos((2*pi/180)*Angle turned by cam when roller is at nose top))+((Distance b/w cam center and nose center^3)*((sin((4*pi/180)*Angle turned by cam when roller is at nose top))^4)))/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

Acceleration of the follower after time t (Cycloidal motion)

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

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

Acceleration=(Angular velocity of the cam^2)*(Radius of the base circle+Radius of the roller)*((2-((cos(Angle turned by cam from beginning of roller))^2))/((cos(Angle turned by cam from beginning of roller))^3)) GO

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

Acceleration=(Angular velocity of the cam^2)*(Radius of circular flank-Radius of the base circle)*cos(Total angle of action of cam) GO

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

Acceleration=(Angular velocity of the cam^2)*(Radius of circular flank-Radius of the base circle)*cos(Angle turned by cam) GO

Acceleration of body in terms of stiffness of the constraint

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

Acceleration of body in terms of stiffness of shaft

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

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

Acceleration=(Angular velocity of the cam^2)*(Radius of the base circle+Radius of the roller) GO

Acceleration in SHM (when angular frequency is given)

Acceleration=-(Angular Frequency^2)*Distance Traveled GO

Accelaration( K and x given)

Acceleration=(-Constant K*Distance Traveled)/Mass GO

Acceleration

Acceleration=Change in Velocity/Total Time Taken GO

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

Acceleration=(Angular Velocity^2)*Displacement
a=(ω^2)*d

More formulas

Displacement of body in simple harmonic motion GO

velocity of body in simple harmonic motion GO

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

Magnitude of acceleration of body in simple harmonic motion if displacement is known calculator uses Acceleration=(Angular Velocity^2)*Displacement to calculate the Acceleration, The Magnitude of acceleration of body in simple harmonic motion if displacement is known formula is defined as the square of angular velocity and displacement. Acceleration and is denoted by a symbol.

How to calculate Magnitude of acceleration of body in simple harmonic motion if displacement is known using this online calculator? To use this online calculator for Magnitude of acceleration of body in simple harmonic motion if displacement is known, enter Angular Velocity (ω) and Displacement (d) and hit the calculate button. Here is how the Magnitude of acceleration of body in simple harmonic motion if displacement is known calculation can be explained with given input values -> 40000 = (20^2)*100.

FAQ

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

The Magnitude of acceleration of body in simple harmonic motion if displacement is known formula is defined as the square of angular velocity and displacement and is represented as a=(ω^2)*d or Acceleration=(Angular Velocity^2)*Displacement. 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 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.

How to calculate Magnitude of acceleration of body in simple harmonic motion if displacement is known?

The Magnitude of acceleration of body in simple harmonic motion if displacement is known formula is defined as the square of angular velocity and displacement is calculated using Acceleration=(Angular Velocity^2)*Displacement. To calculate Magnitude of acceleration of body in simple harmonic motion if displacement is known, you need Angular Velocity (ω) and Displacement (d). With our tool, you need to enter the respective value for Angular Velocity and Displacement 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 Acceleration?

In this formula, Acceleration uses Angular Velocity and Displacement. We can use 11 other way(s) to calculate the same, which is/are as follows -

Acceleration=Change in Velocity/Total Time Taken
Acceleration=((2*pi*(Angular velocity of the cam^2)*Stroke of the follower)/(Angular displacement of the cam during out stroke^2))*sin((2*pi*Angle through which the cam rotates)/(Angular displacement of the cam during out stroke))
Acceleration=(Angular velocity of the cam^2)*(Radius of the base circle+Radius of the roller)*((2-((cos(Angle turned by cam from beginning of roller))^2))/((cos(Angle turned by cam from beginning of roller))^3))
Acceleration=(Angular velocity of the cam^2)*(Radius of the base circle+Radius of the roller)
Acceleration=((Angular velocity of the cam^2)*Distance b/w cam center and nose center)*((cos(Angle turned by cam when roller is at nose top))+((((Distance b/w roller centre and nose centre^2)*Distance b/w cam center and nose center*cos((2*pi/180)*Angle turned by cam when roller is at nose top))+((Distance b/w cam center and nose center^3)*((sin((4*pi/180)*Angle turned by cam when roller is at nose top))^4)))/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)))))
Acceleration=(Angular velocity of the cam^2)*(Radius of circular flank-Radius of the base circle)*cos(Total angle of action of cam)
Acceleration=(Angular velocity of the cam^2)*(Radius of circular flank-Radius of the base circle)*cos(Angle turned by cam)
Acceleration=(-Stiffness of the constraint*Displacement of Body)/Load attached to the free end of constraint
Acceleration=(-Stiffness of shaft*Displacement of Body)/Load attached to the free end of constraint
Acceleration=(-Constant K*Distance Traveled)/Mass
Acceleration=-(Angular Frequency^2)*Distance Traveled

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