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Restoring Torque for Simple Pendulum Formula

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Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ. Check FAQs

τ = M \cdot g \cdot \sin (θ d) \cdot L s

τ - Torque Exerted on Wheel?M - Mass of Body?g - Acceleration Due to Gravity?θ_d - Angle through which the String is Displaced?L_s - Length of String?

Restoring Torque for Simple Pendulum Example

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Here is how the Restoring Torque for Simple Pendulum equation looks like with Values.

Here is how the Restoring Torque for Simple Pendulum equation looks like with Units.

Here is how the Restoring Torque for Simple Pendulum equation looks like.

547.419 = 12.6 \cdot 9.8 \cdot \sin (0.8) \cdot 6180

547.419N*m = 12.6kg \cdot 9.8m/s² \cdot \sin (0.8rad) \cdot 6180mm

547.419 = 12.6 \cdot 9.8 \cdot \sin (0.8) \cdot 6180

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Restoring Torque for Simple Pendulum Solution

Follow our step by step solution on how to calculate Restoring Torque for Simple Pendulum?

FIRST Step Consider the formula

τ = M \cdot g \cdot \sin (θ d) \cdot L s

Next Step Substitute values of Variables

∴

τ = 12.6kg \cdot 9.8m/s² \cdot \sin (0.8rad) \cdot 6180mm

Next Step Convert Units

∴

τ = 12.6kg \cdot 9.8m/s² \cdot \sin (0.8rad) \cdot 6.18m

Next Step Prepare to Evaluate

∴

τ = 12.6 \cdot 9.8 \cdot \sin (0.8) \cdot 6.18

Next Step Evaluate

∴

τ = 547.419024044408N*m

LAST Step Rounding Answer

∴

τ = 547.419N*m

Restoring Torque for Simple Pendulum Formula Elements

Variables

Functions

Torque Exerted on Wheel

Torque Exerted on Wheel is described as the turning effect of force on the axis of rotation. In brief, it is a moment of force. It is characterized by τ.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque Exerted on Wheel

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

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

Angle through which the String is Displaced

Angle through which the String is Displaced is the displacement angle from mean position.

Symbol: θ_d

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Angle through which the String is Displaced

Length of String

Length of String is the length measurement of the string of pendulum.

Symbol: L_s

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Length of String

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Other formulas in Simple Pendulum category

Go Angular Frequency of Simple Pendulum

ω = \sqrt{\frac{g}{L}}

Go Angular Frequency of Spring of given Stiffness Constant

ω = \sqrt{\frac{K s}{M}}

Go Angular Acceleration of String

α = g \cdot \frac{θ}{L s}

Go Periodic Time for One Beat of SHM

t p = π \cdot \sqrt{\frac{L s}{g}}

How to Evaluate Restoring Torque for Simple Pendulum?

Restoring Torque for Simple Pendulum evaluator uses Torque Exerted on Wheel = Mass of Body*Acceleration Due to Gravity*sin(Angle through which the String is Displaced)*Length of String to evaluate the Torque Exerted on Wheel, Restoring Torque for Simple Pendulum formula is defined as the measure of the twisting force that tends to restore a simple pendulum to its equilibrium position, resulting from the gravitational force and the string's length, when the pendulum is displaced from its equilibrium position. Torque Exerted on Wheel is denoted by τ symbol.

How to evaluate Restoring Torque for Simple Pendulum using this online evaluator? To use this online evaluator for Restoring Torque for Simple Pendulum, enter Mass of Body (M), Acceleration Due to Gravity (g), Angle through which the String is Displaced (θ_d) & Length of String (L_s) and hit the calculate button.

FAQs on Restoring Torque for Simple Pendulum

What is the formula to find Restoring Torque for Simple Pendulum?

The formula of Restoring Torque for Simple Pendulum is expressed as Torque Exerted on Wheel = Mass of Body*Acceleration Due to Gravity*sin(Angle through which the String is Displaced)*Length of String. Here is an example- 547.419 = 12.6*9.8*sin(0.8)*6.18.

How to calculate Restoring Torque for Simple Pendulum?

With Mass of Body (M), Acceleration Due to Gravity (g), Angle through which the String is Displaced (θ_d) & Length of String (L_s) we can find Restoring Torque for Simple Pendulum using the formula - Torque Exerted on Wheel = Mass of Body*Acceleration Due to Gravity*sin(Angle through which the String is Displaced)*Length of String. This formula also uses Sine (sin) function(s).

Can the Restoring Torque for Simple Pendulum be negative?

No, the Restoring Torque for Simple Pendulum, measured in Torque cannot be negative.

Which unit is used to measure Restoring Torque for Simple Pendulum?

Restoring Torque for Simple Pendulum is usually measured using the Newton Meter[N*m] for Torque. Newton Centimeter[N*m], Newton Millimeter[N*m], Kilonewton Meter[N*m] are the few other units in which Restoring Torque for Simple Pendulum can be measured.

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Restoring Torque for Simple Pendulum Formula

Restoring Torque for Simple Pendulum Example

Restoring Torque for Simple Pendulum Solution

Restoring Torque for Simple Pendulum Formula Elements

Other formulas in Simple Pendulum category

How to Evaluate Restoring Torque for Simple Pendulum?

FAQs on Restoring Torque for Simple Pendulum

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