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Time Period of Rolling Formula

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Time Period of Rolling is the time taken by an object to return to its upright position while it is rolling. Check FAQs

T = 2 \cdot π \cdot \sqrt{\frac{{k G}^{2}}{g \cdot GM}}

T - Time Period of Rolling?k_G - Radius of Gyration?g - Acceleration due to Gravity?GM - Metacentric Height?π - Archimedes' constant?

Time Period of Rolling Example

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Here is how the Time Period of Rolling equation looks like with Values.

Here is how the Time Period of Rolling equation looks like with Units.

Here is how the Time Period of Rolling equation looks like.

4.9163 = 2 \cdot 3.1416 \cdot \sqrt{\frac{3^{2}}{9.8 \cdot 1.5}}

4.9163s = 2 \cdot 3.1416 \cdot \sqrt{\frac{{3m}^{2}}{9.8m/s² \cdot 1.5m}}

4.9163 = 2 \cdot 3.1416 \cdot \sqrt{\frac{3^{2}}{9.8 \cdot 1.5}}

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Time Period of Rolling Solution

Follow our step by step solution on how to calculate Time Period of Rolling?

FIRST Step Consider the formula

T = 2 \cdot π \cdot \sqrt{\frac{{k G}^{2}}{g \cdot GM}}

Next Step Substitute values of Variables

∴

T = 2 \cdot π \cdot \sqrt{\frac{{3m}^{2}}{9.8m/s² \cdot 1.5m}}

Next Step Substitute values of Constants

∴

T = 2 \cdot 3.1416 \cdot \sqrt{\frac{{3m}^{2}}{9.8m/s² \cdot 1.5m}}

Next Step Prepare to Evaluate

∴

T = 2 \cdot 3.1416 \cdot \sqrt{\frac{3^{2}}{9.8 \cdot 1.5}}

Next Step Evaluate

∴

T = 4.91634617961041s

LAST Step Rounding Answer

∴

T = 4.9163s

Time Period of Rolling Formula Elements

Variables

Constants

Functions

Time Period of Rolling

Time Period of Rolling is the time taken by an object to return to its upright position while it is rolling.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time Period of Rolling

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: m

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

Metacentric Height

Metacentric height is defined as the vertical distance between the center of gravity of a body and metacenter of that body.

Symbol: GM

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Metacentric Height

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)

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HEL = h p + Z

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P = y \cdot q flow \cdot (H ent - h f)

How to Evaluate Time Period of Rolling?

Time Period of Rolling evaluator uses Time Period of Rolling = 2*pi*sqrt((Radius of Gyration^(2))/(Acceleration due to Gravity*Metacentric Height)) to evaluate the Time Period of Rolling, Time period of Rolling is defined as the time taken by an object to return to its upright position while it is rolling. Time Period of Rolling is denoted by T symbol.

How to evaluate Time Period of Rolling using this online evaluator? To use this online evaluator for Time Period of Rolling, enter Radius of Gyration (k_G), Acceleration due to Gravity (g) & Metacentric Height (GM) and hit the calculate button.

FAQs on Time Period of Rolling

What is the formula to find Time Period of Rolling?

The formula of Time Period of Rolling is expressed as Time Period of Rolling = 2*pi*sqrt((Radius of Gyration^(2))/(Acceleration due to Gravity*Metacentric Height)). Here is an example- 4.916346 = 2*pi*sqrt((3^(2))/(9.8*1.5)).

How to calculate Time Period of Rolling?

With Radius of Gyration (k_G), Acceleration due to Gravity (g) & Metacentric Height (GM) we can find Time Period of Rolling using the formula - Time Period of Rolling = 2*pi*sqrt((Radius of Gyration^(2))/(Acceleration due to Gravity*Metacentric Height)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Time Period of Rolling be negative?

Yes, the Time Period of Rolling, measured in Time can be negative.

Which unit is used to measure Time Period of Rolling?

Time Period of Rolling is usually measured using the Second[s] for Time. Millisecond[s], Microsecond[s], Nanosecond[s] are the few other units in which Time Period of Rolling can be measured.

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