FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Minimum Periodic Time of SHM for Compound Pendulum Formula

Fx Copy

LaTeX Copy

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

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

t_p - Time Period SHM?k_G - Radius of Gyration?g - Acceleration Due to Gravity?π - Archimedes' constant?

Minimum Periodic Time of SHM for Compound Pendulum Example

With values

With units

Only example

Here is how the Minimum Periodic Time of SHM for Compound Pendulum equation looks like with Values.

Here is how the Minimum Periodic Time of SHM for Compound Pendulum equation looks like with Units.

Here is how the Minimum Periodic Time of SHM for Compound Pendulum equation looks like.

5 = 2 \cdot 3.1416 \cdot \sqrt{2 \cdot \frac{3103}{9.8}}

5s = 2 \cdot 3.1416 \cdot \sqrt{2 \cdot \frac{3103mm}{9.8m/s²}}

5 = 2 \cdot 3.1416 \cdot \sqrt{2 \cdot \frac{3103}{9.8}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Theory of Machine » fx Minimum Periodic Time of SHM for Compound Pendulum

Minimum Periodic Time of SHM for Compound Pendulum Solution

Follow our step by step solution on how to calculate Minimum Periodic Time of SHM for Compound Pendulum?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

t p = 2 \cdot π \cdot \sqrt{2 \cdot \frac{3103mm}{9.8m/s²}}

Next Step Substitute values of Constants

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{2 \cdot \frac{3103mm}{9.8m/s²}}

Next Step Convert Units

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{2 \cdot \frac{3.103m}{9.8m/s²}}

Next Step Prepare to Evaluate

∴

t p = 2 \cdot 3.1416 \cdot \sqrt{2 \cdot \frac{3.103}{9.8}}

Next Step Evaluate

∴

t p = 5.00003122084785s

LAST Step Rounding Answer

∴

t p = 5s

Minimum Periodic Time of SHM for Compound Pendulum 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

Radius of Gyration

The Radius of Gyration or gyradius is defined as the radial distance to a point that would have a moment of inertia the same as the body's actual distribution of mass.

Symbol: k_G

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Radius of Gyration

Acceleration Due to Gravity

Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

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 in Compound Pendulum category

Go Periodic Time of SHM for Compound Pendulum given Radius of Gyration

t' p = 2 \cdot π \cdot \sqrt{\frac{{k G}^{2} + h^{2}}{g \cdot h}}

Go Frequency of Compound Pendulum in SHM

f = \frac{1}{t' p}

How to Evaluate Minimum Periodic Time of SHM for Compound Pendulum?

Minimum Periodic Time of SHM for Compound Pendulum evaluator uses Time Period SHM = 2*pi*sqrt(2*Radius of Gyration/Acceleration Due to Gravity) to evaluate the Time Period SHM, Minimum Periodic Time of SHM for Compound Pendulum formula is defined as the time required for one complete oscillation of a compound pendulum in simple harmonic motion, which depends on the gravitational acceleration and the radius of gyration of the pendulum. Time Period SHM is denoted by t_p symbol.

How to evaluate Minimum Periodic Time of SHM for Compound Pendulum using this online evaluator? To use this online evaluator for Minimum Periodic Time of SHM for Compound Pendulum, enter Radius of Gyration (k_G) & Acceleration Due to Gravity (g) and hit the calculate button.

FAQs on Minimum Periodic Time of SHM for Compound Pendulum

What is the formula to find Minimum Periodic Time of SHM for Compound Pendulum?

The formula of Minimum Periodic Time of SHM for Compound Pendulum is expressed as Time Period SHM = 2*pi*sqrt(2*Radius of Gyration/Acceleration Due to Gravity). Here is an example- 0.500003 = 2*pi*sqrt(2*3.103/9.8).

How to calculate Minimum Periodic Time of SHM for Compound Pendulum?

With Radius of Gyration (k_G) & Acceleration Due to Gravity (g) we can find Minimum Periodic Time of SHM for Compound Pendulum using the formula - Time Period SHM = 2*pi*sqrt(2*Radius of Gyration/Acceleration Due to Gravity). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Minimum Periodic Time of SHM for Compound Pendulum be negative?

No, the Minimum Periodic Time of SHM for Compound Pendulum, measured in Time cannot be negative.

Which unit is used to measure Minimum Periodic Time of SHM for Compound Pendulum?

Minimum Periodic Time of SHM for Compound Pendulum is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Minimum Periodic Time of SHM for Compound Pendulum can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Minimum Periodic Time of SHM for Compound Pendulum Formula

Minimum Periodic Time of SHM for Compound Pendulum Example

Minimum Periodic Time of SHM for Compound Pendulum Solution

Minimum Periodic Time of SHM for Compound Pendulum Formula Elements

Other formulas in Compound Pendulum category

How to Evaluate Minimum Periodic Time of SHM for Compound Pendulum?

FAQs on Minimum Periodic Time of SHM for Compound Pendulum

Variable Name