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 = (-sconstrain*sbody)/Wattached
This formula uses 4 Variables
Variables Used
Acceleration of Body - (Measured in Meter per Square Second) - Acceleration of Body is the rate of change in velocity to the change in time.
Stiffness of Constraint - (Measured in Newton per Meter) - Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration.
Displacement of Body - (Measured in Meter) - Displacement of Body is defined to be the change in position of an object.
Load Attached to Free End of Constraint - (Measured in Kilogram) - Load attached to free end of constraint is a weight or source of pressure.
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 = (-sconstrain*sbody)/Wattached --> (-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)

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National Institute Of Technology (NIT), Hamirpur
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12 Equilibrium Method Calculators

Load Attached to Free End of Constraint
Go Weight of Body in Newtons = (Static Deflection*Young's Modulus*Cross Sectional Area)/Length of Constraint
Length of Constraint
Go Length of Constraint = (Static Deflection*Young's Modulus*Cross Sectional Area)/Weight of Body in Newtons
Restoring Force using Weight of Body
Go Force = Weight of Body in Newtons-Stiffness of Constraint*(Static Deflection+Displacement of Body)
Acceleration of Body given Stiffness of Constraint
Go Acceleration of Body = (-Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
Displacement of Body given Stiffness of Constraint
Go Displacement of Body = (-Load Attached to Free End of Constraint*Acceleration of Body)/Stiffness of Constraint
Time Period of Free Longitudinal Vibrations
Go Time Period = 2*pi*sqrt(Weight of Body in Newtons/Stiffness of Constraint)
Angular Velocity of Free Longitudinal Vibrations
Go Natural Circular Frequency = sqrt(Stiffness of Constraint/Mass suspended from spring)
Critical Damping Coefficient given Spring Constant
Go Critical Damping Coefficient = 2*sqrt(Spring Constant/Mass suspended from spring)
Static Deflection given Natural Frequency
Go Static Deflection = (Acceleration due to Gravity)/((2*pi*Frequency)^2)
Gravitational Pull Balanced by Spring Force
Go Weight of Body in Newtons = Stiffness of Constraint*Static Deflection
Restoring Force
Go Force = -Stiffness of Constraint*Displacement of Body
Young's Modulus
Go Young's Modulus = Stress/Strain

Acceleration of Body given Stiffness of Constraint Formula

Acceleration of Body = (-Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint
a = (-sconstrain*sbody)/Wattached

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, The Acceleration of Body given Stiffness of Constraint formula is defined as the rate of change of the velocity of an object with respect to time. 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 (sconstrain), Displacement of Body (sbody) & Load Attached to Free End of Constraint (Wattached) and hit the calculate button. Here is how the Acceleration of Body given Stiffness of Constraint calculation can be explained with given input values -> -9375 = (-13*0.75)/0.52.

FAQ

What is Acceleration of Body given Stiffness of Constraint?
The Acceleration of Body given Stiffness of Constraint formula is defined as the rate of change of the velocity of an object with respect to time and is represented as a = (-sconstrain*sbody)/Wattached or Acceleration of Body = (-Stiffness of Constraint*Displacement of Body)/Load Attached to Free End of Constraint. Stiffness of Constraint is the force required to produce unit displacement in the direction of vibration, Displacement of Body is defined to be the change in position of an object & Load attached to free end of constraint is a weight or source of pressure.
How to calculate Acceleration of Body given Stiffness of Constraint?
The Acceleration of Body given Stiffness of Constraint formula is defined as the rate of change of the velocity of an object with respect to time 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 (sconstrain), Displacement of Body (sbody) & Load Attached to Free End of Constraint (Wattached). 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.
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