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Maximum Displacement given Magnification Factor Formula

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Total 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. Check FAQs

d mass = D \cdot x o

d_mass - Total Displacement?D - Magnification Factor?x_o - Deflection Under the Static Force?

Maximum Displacement given Magnification Factor Example

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Here is how the Maximum Displacement given Magnification Factor equation looks like with Values.

Here is how the Maximum Displacement given Magnification Factor equation looks like with Units.

Here is how the Maximum Displacement given Magnification Factor equation looks like.

2 = 0.001 \cdot 2000

2mm = 0.001 \cdot 2000mm

2 = 0.001 \cdot 2000

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Maximum Displacement given Magnification Factor Solution

Follow our step by step solution on how to calculate Maximum Displacement given Magnification Factor?

FIRST Step Consider the formula

d mass = D \cdot x o

Next Step Substitute values of Variables

∴

d mass = 0.001 \cdot 2000mm

Next Step Convert Units

∴

d mass = 0.001 \cdot 2m

Next Step Prepare to Evaluate

∴

d mass = 0.001 \cdot 2

Next Step Evaluate

∴

d mass = 0.002m

LAST Step Convert to Output's Unit

∴

d mass = 2mm

Maximum Displacement given Magnification Factor Formula Elements

Variables

Total Displacement

Total 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.

Symbol: d_mass

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Total Displacement

Magnification Factor

Magnification Factor is the value of deflection under the dynamic force divided by the deflection under the static type of force.

Symbol: D

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Magnification Factor

Deflection Under the Static Force

Deflection under the static force is the deflection of system caused due to static force.

Symbol: x_o

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Deflection Under the Static Force

Other formulas in Magnification Factor or Dynamic Magnifier category

Go Magnification Factor at Resonance

D = \frac{k}{c \cdot ω n}

Go Magnification Factor if there is No Damping

D = \frac{{ω n}^{2}}{{ω n}^{2} - ω^{2}}

Go Magnification Factor

D = \frac{1}{\sqrt{{(c \cdot \frac{ω}{k})}^{2} + {(1 - {(\frac{ω}{ω n})}^{2})}^{2}}}

Go Magnification Factor given Displacement of Vibrations

D = \frac{d mass}{x o}

How to Evaluate Maximum Displacement given Magnification Factor?

Maximum Displacement given Magnification Factor evaluator uses Total Displacement = Magnification Factor*Deflection Under the Static Force to evaluate the Total Displacement, Maximum Displacement given Magnification Factor formula is defined as a measure of the maximum distance an object is displaced from its original position, which is directly proportional to the magnification factor and the object's original distance from the lens. Total Displacement is denoted by d_mass symbol.

How to evaluate Maximum Displacement given Magnification Factor using this online evaluator? To use this online evaluator for Maximum Displacement given Magnification Factor, enter Magnification Factor (D) & Deflection Under the Static Force (x_o) and hit the calculate button.

FAQs on Maximum Displacement given Magnification Factor

What is the formula to find Maximum Displacement given Magnification Factor?

The formula of Maximum Displacement given Magnification Factor is expressed as Total Displacement = Magnification Factor*Deflection Under the Static Force. Here is an example- 2000 = 0.001*2.

How to calculate Maximum Displacement given Magnification Factor?

With Magnification Factor (D) & Deflection Under the Static Force (x_o) we can find Maximum Displacement given Magnification Factor using the formula - Total Displacement = Magnification Factor*Deflection Under the Static Force.

Can the Maximum Displacement given Magnification Factor be negative?

No, the Maximum Displacement given Magnification Factor, measured in Length cannot be negative.

Which unit is used to measure Maximum Displacement given Magnification Factor?

Maximum Displacement given Magnification Factor is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Maximum Displacement given Magnification Factor can be measured.

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Maximum Displacement given Magnification Factor Formula

Maximum Displacement given Magnification Factor Example

Maximum Displacement given Magnification Factor Solution

Maximum Displacement given Magnification Factor Formula Elements

Other formulas in Magnification Factor or Dynamic Magnifier category

How to Evaluate Maximum Displacement given Magnification Factor?

FAQs on Maximum Displacement given Magnification Factor

Variable Name