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Periodic Time of Mass Attached to Spring of given Mass Formula

GoPeriodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically Formula

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Time Period SHM is time required for the periodic motion. Check FAQs

t p = 2 \cdot π \cdot \sqrt{\frac{M + \frac{m}{3}}{k}}

t_p - Time Period SHM?M - Mass of Body?m - Mass of Spring?k - Stiffness of Spring?π - Archimedes' constant?

Periodic Time of Mass Attached to Spring of given Mass Example

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Here is how the Periodic Time of Mass Attached to Spring of given Mass equation looks like with Values.

Here is how the Periodic Time of Mass Attached to Spring of given Mass equation looks like with Units.

Here is how the Periodic Time of Mass Attached to Spring of given Mass equation looks like.

4.99 = 2 \cdot 3.1416 \cdot \sqrt{\frac{12.6 + \frac{0.1}{3}}{20.03}}

4.99s = 2 \cdot 3.1416 \cdot \sqrt{\frac{12.6kg + \frac{0.1kg}{3}}{20.03N/m}}

4.99 = 2 \cdot 3.1416 \cdot \sqrt{\frac{12.6 + \frac{0.1}{3}}{20.03}}

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Periodic Time of Mass Attached to Spring of given Mass Solution

Follow our step by step solution on how to calculate Periodic Time of Mass Attached to Spring of given Mass?

FIRST Step Consider the formula

t p = 2 \cdot π \cdot \sqrt{\frac{M + \frac{m}{3}}{k}}

Next Step Substitute values of Variables

∴

t p = 2 \cdot π \cdot \sqrt{\frac{12.6kg + \frac{0.1kg}{3}}{20.03N/m}}

Next Step Substitute values of Constants

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{\frac{12.6kg + \frac{0.1kg}{3}}{20.03N/m}}

Next Step Prepare to Evaluate

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{\frac{12.6 + \frac{0.1}{3}}{20.03}}

Next Step Evaluate

∴

t p = 4.98997501771332s

LAST Step Rounding Answer

∴

t p = 4.99s

Periodic Time of Mass Attached to Spring of given Mass Formula Elements

Variables

Constants

Functions

Time Period SHM

Time Period SHM is time required for the periodic motion.

Symbol: t_p

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period SHM

Mass of Body

Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.

Symbol: M

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Body

Mass of Spring

Mass of Spring is defined as the mass density of the spring multiplied by the volume of the spring Wire.

Symbol: m

Measurement: WeightUnit: kg

Note: Value should be greater than 0.

Formulas to find Mass of Spring

Stiffness of Spring

Stiffness of Spring is a measure of the resistance offered by an elastic body to deformation. every object in this universe has some stiffness.

Symbol: k

Measurement: Surface TensionUnit: N/m

Note: Value should be greater than 0.

Formulas to find Stiffness of Spring

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Time Period SHM

Go Periodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

t p = 2 \cdot π \cdot \sqrt{\frac{M}{k}}

Other formulas in Closely Coiled Helical Spring category

Go Frequency of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically

f = \frac{\sqrt{\frac{k}{M}}}{2 \cdot π}

Go Frequency of Mass Attached to Spring of given Mass

f = \frac{\sqrt{\frac{k}{M + \frac{m}{3}}}}{2 \cdot π}

Go Restoring Force Due to Spring

F = k \cdot x

Go Deflection of Spring when Mass m is Attached to it

δ = M \cdot \frac{g}{k}

How to Evaluate Periodic Time of Mass Attached to Spring of given Mass?

Periodic Time of Mass Attached to Spring of given Mass evaluator uses Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring) to evaluate the Time Period SHM, Periodic Time of Mass Attached to Spring of given Mass formula is defined as the time taken by an object attached to a spring to complete one oscillation, which depends on the mass of the object, the mass of the spring, and the spring constant, and is a fundamental concept in simple harmonic motion. Time Period SHM is denoted by t_p symbol.

How to evaluate Periodic Time of Mass Attached to Spring of given Mass using this online evaluator? To use this online evaluator for Periodic Time of Mass Attached to Spring of given Mass, enter Mass of Body (M), Mass of Spring (m) & Stiffness of Spring (k) and hit the calculate button.

FAQs on Periodic Time of Mass Attached to Spring of given Mass

What is the formula to find Periodic Time of Mass Attached to Spring of given Mass?

The formula of Periodic Time of Mass Attached to Spring of given Mass is expressed as Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring). Here is an example- 6.163897 = 2*pi*sqrt((12.6+0.1/3)/20.03).

How to calculate Periodic Time of Mass Attached to Spring of given Mass?

With Mass of Body (M), Mass of Spring (m) & Stiffness of Spring (k) we can find Periodic Time of Mass Attached to Spring of given Mass using the formula - Time Period SHM = 2*pi*sqrt((Mass of Body+Mass of Spring/3)/Stiffness of Spring). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Time Period SHM?

Here are the different ways to Calculate Time Period SHM-

Time Period SHM=2*pi*sqrt(Mass of Body/Stiffness of Spring)

Can the Periodic Time of Mass Attached to Spring of given Mass be negative?

No, the Periodic Time of Mass Attached to Spring of given Mass, measured in Time cannot be negative.

Which unit is used to measure Periodic Time of Mass Attached to Spring of given Mass?

Periodic Time of Mass Attached to Spring of given Mass is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Periodic Time of Mass Attached to Spring of given Mass can be measured.

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Periodic Time of Mass Attached to Spring of given Mass Formula

​GoPeriodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically Formula

Periodic Time of Mass Attached to Spring of given Mass Example

Periodic Time of Mass Attached to Spring of given Mass Solution

Periodic Time of Mass Attached to Spring of given Mass Formula Elements

Other Formulas to find Time Period SHM

Other formulas in Closely Coiled Helical Spring category

How to Evaluate Periodic Time of Mass Attached to Spring of given Mass?

FAQs on Periodic Time of Mass Attached to Spring of given Mass

Variable Name

GoPeriodic Time of Mass Attached to Closely Coiled Helical Spring which is Hanged Vertically Formula