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Time Period of Magnetometer Formula

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Time Period of Magnetometer is the duration it takes for the device to complete one oscillation or cycle when detecting magnetic fields. Check FAQs

T = 2 \cdot π \cdot \sqrt{\frac{I}{M \cdot B H}}

T - Time Period of Magnetometer?I - Moment of Inertia?M - Magnetic Moment?B_H - Horizontal Component of Earth's Magnetic Field?π - Archimedes' constant?

Time Period of Magnetometer Example

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

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

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

157.0796 = 2 \cdot 3.1416 \cdot \sqrt{\frac{1.125}{90 \cdot 2E-5}}

157.0796s = 2 \cdot 3.1416 \cdot \sqrt{\frac{1.125kg·m²}{90Wb/m² \cdot 2E-5Wb/m²}}

157.0796 = 2 \cdot 3.1416 \cdot \sqrt{\frac{1.125}{90 \cdot 2E-5}}

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Time Period of Magnetometer Solution

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

FIRST Step Consider the formula

T = 2 \cdot π \cdot \sqrt{\frac{I}{M \cdot B H}}

Next Step Substitute values of Variables

∴

T = 2 \cdot π \cdot \sqrt{\frac{1.125kg·m²}{90Wb/m² \cdot 2E-5Wb/m²}}

Next Step Substitute values of Constants

∴

T = 2 \cdot 3.1416 \cdot \sqrt{\frac{1.125kg·m²}{90Wb/m² \cdot 2E-5Wb/m²}}

Next Step Convert Units

∴

T = 2 \cdot 3.1416 \cdot \sqrt{\frac{1.125kg·m²}{90T \cdot 2E-5T}}

Next Step Prepare to Evaluate

∴

T = 2 \cdot 3.1416 \cdot \sqrt{\frac{1.125}{90 \cdot 2E-5}}

Next Step Evaluate

∴

T = 157.07963267949s

LAST Step Rounding Answer

∴

T = 157.0796s

Time Period of Magnetometer Formula Elements

Variables

Constants

Functions

Time Period of Magnetometer

Time Period of Magnetometer is the duration it takes for the device to complete one oscillation or cycle when detecting magnetic fields.

Symbol: T

Measurement: TimeUnit: s

Note: Value should be greater than 0.

Formulas to find Time Period of Magnetometer

Moment of Inertia

Moment of Inertia is a measure of an object's resistance to changes in its rotation. It depends on the object's mass distribution relative to the axis of rotation.

Symbol: I

Measurement: Moment of InertiaUnit: kg·m²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia

Magnetic Moment

Magnetic Moment is a measure of the strength and direction of a magnetic source, such as a magnet or current loop. It determines the torque experienced by the source in a magnetic field.

Symbol: M

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Magnetic Moment

Horizontal Component of Earth's Magnetic Field

Horizontal Component of Earth's Magnetic Field is the part of the Earth's magnetic field that lies parallel to the Earth's surface.

Symbol: B_H

Measurement: Magnetic FieldUnit: Wb/m²

Note: Value can be positive or negative.

Formulas to find Horizontal Component of Earth's Magnetic Field

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 Magnetism category

Go Magnetic Field on Axis of Ring

B = \frac{[Permeability-vacuum] \cdot i \cdot {r ring}^{2}}{2 \cdot {({r ring}^{2} + d^{2})}^{\frac{3}{2}}}

Go Force between Parallel Wires

F 𝑙 = \frac{[Permeability-vacuum] \cdot I 1 \cdot I 2}{2 \cdot π \cdot d}

Go Magnetic Field at Center of Arc

M arc = \frac{[Permeability-vacuum] \cdot i \cdot θ arc}{4 \cdot π \cdot r ring}

Go Field Inside Solenoid

B = \frac{[Permeability-vacuum] \cdot i \cdot N}{L solenoid}

How to Evaluate Time Period of Magnetometer?

Time Period of Magnetometer evaluator uses Time Period of Magnetometer = 2*pi*sqrt(Moment of Inertia/(Magnetic Moment*Horizontal Component of Earth's Magnetic Field)) to evaluate the Time Period of Magnetometer, Time Period of Magnetometer formula is defined as a measure of the duration of one complete oscillation of the magnetometer's magnetic field, which is influenced by the moment of inertia, magnetic field strength, and other physical parameters that affect the oscillatory motion. Time Period of Magnetometer is denoted by T symbol.

How to evaluate Time Period of Magnetometer using this online evaluator? To use this online evaluator for Time Period of Magnetometer, enter Moment of Inertia (I), Magnetic Moment (M) & Horizontal Component of Earth's Magnetic Field (B_H) and hit the calculate button.

FAQs on Time Period of Magnetometer

What is the formula to find Time Period of Magnetometer?

The formula of Time Period of Magnetometer is expressed as Time Period of Magnetometer = 2*pi*sqrt(Moment of Inertia/(Magnetic Moment*Horizontal Component of Earth's Magnetic Field)). Here is an example- 157.0796 = 2*pi*sqrt(1.125/(90*2E-05)).

How to calculate Time Period of Magnetometer?

With Moment of Inertia (I), Magnetic Moment (M) & Horizontal Component of Earth's Magnetic Field (B_H) we can find Time Period of Magnetometer using the formula - Time Period of Magnetometer = 2*pi*sqrt(Moment of Inertia/(Magnetic Moment*Horizontal Component of Earth's Magnetic Field)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Time Period of Magnetometer be negative?

No, the Time Period of Magnetometer, measured in Time cannot be negative.

Which unit is used to measure Time Period of Magnetometer?

Time Period of Magnetometer 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 Magnetometer can be measured.

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