Acceleration of Body given Stiffness of Constraint Calculator

✖Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.ⓘ Stiffness of Constraint [s_constrain]			+10% -10%
✖Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.ⓘ Displacement of Body [s_body]			+10% -10%
✖Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations.ⓘ Load Attached to Free End of Constraint [W_attached]			+10% -10%

✖Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared.ⓘ Acceleration of Body given Stiffness of Constraint [a]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Natural Frequency of Free Longitudinal Vibrations Formula PDF PDF Image

Acceleration of Body given Stiffness of Constraint Solution

STEP 0: Pre-Calculation Summary

Formula Used

Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
a = (s_constrain*s_body)/W_attached
This formula uses 4 Variables

Variables Used

Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change of velocity of an object in free longitudinal vibrations, measured in meters per second squared.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations.
Displacement of Body - (Measured in Meter) - Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations.

STEP 1: Convert Input(s) to Base Unit

Stiffness of Constraint: 13 Newton per Meter --> 13 Newton per Meter No Conversion Required
Displacement of Body: 0.75 Meter --> 0.75 Meter No Conversion Required
Load Attached to Free End of Constraint: 0.52 Kilogram --> 0.52 Kilogram No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a = (s_constrain*s_body)/W_attached --> (13*0.75)/0.52

Evaluating ... ...

a = 18.75

STEP 3: Convert Result to Output's Unit

18.75 Meter per Square Second --> No Conversion Required

FINAL ANSWER

18.75 Meter per Square Second <-- Acceleration of Body

(Calculation completed in 00.004 seconds)

You are here -

Home » Physics » Theory of Machine » Vibrations » Longitudinal and Transverse Vibrations » Natural Frequency of Free Longitudinal Vibrations » Mechanical » Equilibrium Method » Acceleration of Body given Stiffness of Constraint

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Payal Priya

Birsa Institute of Technology (BIT), Sindri

Payal Priya has verified this Calculator and 1900+ more calculators!

< Equilibrium Method Calculators

Acceleration of Body given Stiffness of Constraint

LaTeX Go Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint

Displacement of Body given Stiffness of Constraint

LaTeX Go Displacement of Body = (Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint

Gravitational Pull Balanced by Spring Force

LaTeX Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection

Restoring Force

LaTeX Go Restoring Force = -Stiffness of Constraint*Displacement of Body

Acceleration of Body given Stiffness of Constraint Formula

LaTeX Go

Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
a = (s_constrain*s_body)/W_attached

What is difference between longitudinal and transverse wave?

Transverse waves are always characterized by particle motion being perpendicular to wave motion. A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.

How to Calculate Acceleration of Body given Stiffness of Constraint?

Acceleration of Body given Stiffness of Constraint calculator uses Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint to calculate the Acceleration of Body, Acceleration of Body given Stiffness of Constraint formula is defined as a measure of the rate of change of velocity of an object under the influence of a constraining force, providing insight into the dynamic behavior of the system in natural frequency of free longitudinal vibrations. Acceleration of Body is denoted by a symbol.

How to calculate Acceleration of Body given Stiffness of Constraint using this online calculator? To use this online calculator for Acceleration of Body given Stiffness of Constraint, enter Stiffness of Constraint (s_constrain), Displacement of Body (s_body) & Load Attached to Free End of Constraint (W_attached) and hit the calculate button. Here is how the Acceleration of Body given Stiffness of Constraint calculation can be explained with given input values -> 18.75 = (13*0.75)/0.52.

FAQ

What is Acceleration of Body given Stiffness of Constraint?

Acceleration of Body given Stiffness of Constraint formula is defined as a measure of the rate of change of velocity of an object under the influence of a constraining force, providing insight into the dynamic behavior of the system in natural frequency of free longitudinal vibrations and is represented as a = (s_constrain*s_body)/W_attached or Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint. Stiffness of Constraint is the measure of the rigidity of a constraint in a system, affecting the natural frequency of free longitudinal vibrations, Displacement of Body is the maximum distance moved by an object from its mean position during free longitudinal vibrations & Load Attached to Free End of Constraint is the force exerted on the free end of a constraint, affecting natural frequency of free longitudinal vibrations.

How to calculate Acceleration of Body given Stiffness of Constraint?

Acceleration of Body given Stiffness of Constraint formula is defined as a measure of the rate of change of velocity of an object under the influence of a constraining force, providing insight into the dynamic behavior of the system in natural frequency of free longitudinal vibrations is calculated using Acceleration of Body = (Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint. To calculate Acceleration of Body given Stiffness of Constraint, you need Stiffness of Constraint (s_constrain), Displacement of Body (s_body) & Load Attached to Free End of Constraint (W_attached). With our tool, you need to enter the respective value for Stiffness of Constraint, Displacement of Body & Load Attached to Free End of Constraint and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search