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Acceleration of Body given Stiffness of Shaft Formula

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Acceleration is the rate of change in velocity to the change in Time. Check FAQs

a = (- \frac{s}{W attached}) \cdot s body

a - Acceleration?s - Stiffness of Shaft?W_attached - Load Attached to Free End of Constraint?s_body - Displacement of Body?

Acceleration of Body given Stiffness of Shaft Example

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Here is how the Acceleration of Body given Stiffness of Shaft equation looks like with Values.

Here is how the Acceleration of Body given Stiffness of Shaft equation looks like with Units.

Here is how the Acceleration of Body given Stiffness of Shaft equation looks like.

14.4046 = (- \frac{0.63}{0.4534}) \cdot -10.367

14.4046m/s² = (- \frac{0.63N/m}{0.4534kg}) \cdot -10.367m

14.4046 = (- \frac{0.63}{0.4534}) \cdot -10.367

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Acceleration of Body given Stiffness of Shaft Solution

Follow our step by step solution on how to calculate Acceleration of Body given Stiffness of Shaft?

FIRST Step Consider the formula

a = (- \frac{s}{W attached}) \cdot s body

Next Step Substitute values of Variables

∴

a = (- \frac{0.63N/m}{0.4534kg}) \cdot -10.367m

Next Step Prepare to Evaluate

∴

a = (- \frac{0.63}{0.4534}) \cdot -10.367

Next Step Evaluate

∴

a = 14.4046130332083m/s²

LAST Step Rounding Answer

∴

a = 14.4046m/s²

Acceleration of Body given Stiffness of Shaft Formula Elements

Variables

Acceleration

Acceleration is the rate of change in velocity to the change in Time.

Symbol: a

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Acceleration

Stiffness of Shaft

Stiffness of Shaft is the measure of a shaft's resistance to bending or deformation during free transverse vibrations, affecting its natural frequency.

Symbol: s

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Shaft

Load Attached to Free End of Constraint

Load Attached to Free End of Constraint is the force applied to the free end of a constraint in a system undergoing free transverse vibrations.

Symbol: W_attached

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Load Attached to Free End of Constraint

Displacement of Body

Displacement of Body is the maximum distance moved by an object from its mean position during free transverse vibrations at its natural frequency.

Symbol: s_body

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Displacement of Body

Other formulas in General Shaft category

Go Static Deflection given Moment of Inertia of Shaft

δ = \frac{W attached \cdot {L shaft}^{3}}{3 \cdot E \cdot I shaft}

Go Load at Free End in Free Transverse Vibrations

W attached = \frac{δ \cdot 3 \cdot E \cdot I shaft}{{L shaft}^{3}}

Go Length of Shaft

L shaft = {(\frac{δ \cdot 3 \cdot E \cdot I shaft}{W attached})}^{\frac{1}{3}}

Go Moment of Inertia of Shaft given Static Deflection

I shaft = \frac{W attached \cdot {L shaft}^{3}}{3 \cdot E \cdot δ}

How to Evaluate Acceleration of Body given Stiffness of Shaft?

Acceleration of Body given Stiffness of Shaft evaluator uses Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body to evaluate the Acceleration, Acceleration of Body given Stiffness of Shaft formula is defined as a measure of the rate of change of velocity of a body attached to a shaft, influenced by the stiffness of the shaft, which affects the natural frequency of free transverse vibrations. Acceleration is denoted by a symbol.

How to evaluate Acceleration of Body given Stiffness of Shaft using this online evaluator? To use this online evaluator for Acceleration of Body given Stiffness of Shaft, enter Stiffness of Shaft (s), Load Attached to Free End of Constraint (W_attached) & Displacement of Body (s_body) and hit the calculate button.

FAQs on Acceleration of Body given Stiffness of Shaft

What is the formula to find Acceleration of Body given Stiffness of Shaft?

The formula of Acceleration of Body given Stiffness of Shaft is expressed as Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body. Here is an example- 12.56002 = (-0.63/0.453411)*(-10.367).

How to calculate Acceleration of Body given Stiffness of Shaft?

With Stiffness of Shaft (s), Load Attached to Free End of Constraint (W_attached) & Displacement of Body (s_body) we can find Acceleration of Body given Stiffness of Shaft using the formula - Acceleration = (-Stiffness of Shaft/Load Attached to Free End of Constraint)*Displacement of Body.

Can the Acceleration of Body given Stiffness of Shaft be negative?

Yes, the Acceleration of Body given Stiffness of Shaft, measured in Acceleration can be negative.

Which unit is used to measure Acceleration of Body given Stiffness of Shaft?

Acceleration of Body given Stiffness of Shaft is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Acceleration of Body given Stiffness of Shaft can be measured.

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