Restoring Torque for Simple Pendulum Calculator

✖Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.ⓘ Mass of Body [M]			+10% -10%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Angle through which the string is displaced is the displacement angle.ⓘ Angle through which the string is displaced [θ_displaced]			+10% -10%
✖Length of String is the length measurement of the string of pendulum.ⓘ Length of String [L_string]			+10% -10%

✖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.ⓘ Restoring Torque for Simple Pendulum [τ]

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Restoring Torque for Simple Pendulum

Formula

`"τ" = "M"*"g"*sin("θ"_{"displaced"})*"L"_{"string"}`

Example

`"4.340377N*m"="12.6kg"*"9.8m/s²"*sin("0.8rad")*"49mm"`

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Restoring Torque for Simple Pendulum Solution

STEP 0: Pre-Calculation Summary

Formula Used

Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String
τ = M*g*sin(θ_displaced)*L_string
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Torque Exerted on Wheel - (Measured in Newton Meter) - 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.
Mass of Body - (Measured in Kilogram) - Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Angle through which the string is displaced - (Measured in Radian) - Angle through which the string is displaced is the displacement angle.
Length of String - (Measured in Meter) - Length of String is the length measurement of the string of pendulum.

STEP 1: Convert Input(s) to Base Unit

Mass of Body: 12.6 Kilogram --> 12.6 Kilogram No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle through which the string is displaced: 0.8 Radian --> 0.8 Radian No Conversion Required
Length of String: 49 Millimeter --> 0.049 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ = M*g*sin(θ_displaced)*L_string --> 12.6*9.8*sin(0.8)*0.049

Evaluating ... ...

τ = 4.34037737510938

STEP 3: Convert Result to Output's Unit

4.34037737510938 Newton Meter --> No Conversion Required

FINAL ANSWER

4.34037737510938 ≈ 4.340377 Newton Meter <-- Torque Exerted on Wheel

(Calculation completed in 00.020 seconds)

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< 6 Simple Pendulum Calculators

Restoring Torque for Simple Pendulum

Go Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String

Periodic Time for One Beat of SHM

Go Time Period SHM = pi*sqrt(Length of String/Acceleration due to Gravity)

Angular Acceleration of String

Go Angular Acceleration = Acceleration due to Gravity*Angular Displacement/Length of String

Angular Frequency of Simple Pendulum

Go Angular Frequency = sqrt(Acceleration due to Gravity/Total Length)

Angular Frequency of Spring of given Stiffness Constant

Go Angular Frequency = sqrt(Spring Constant/Mass of Body)

Moment of Inertia of Pendulum Bob

Go Moment of Inertia = Mass of Body*Length of String^2

Restoring Torque for Simple Pendulum Formula

Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String
τ = M*g*sin(θ_displaced)*L_string

What causes the restoring force in a simple pendulum?

So there is a net force directed along the other coordinate axes. It is this tangential component of gravity that acts as the restoring force. As the pendulum bob moves to the right of the equilibrium position, this force component is directed opposite its motion back towards the equilibrium position.

How to Calculate Restoring Torque for Simple Pendulum?

Restoring Torque for Simple Pendulum calculator uses Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String to calculate the Torque Exerted on Wheel, Restoring torque for simple pendulum is the torque that rises to return an object (twisted, rotating, etc.) to its original orientation is the restoring torque. The oscillations of a simple pendulum are a very good example of the effects of restoring torque. Torque Exerted on Wheel is denoted by τ symbol.

How to calculate Restoring Torque for Simple Pendulum using this online calculator? To use this online calculator for Restoring Torque for Simple Pendulum, enter Mass of Body (M), Acceleration due to Gravity (g), Angle through which the string is displaced (θ_displaced) & Length of String (L_string) and hit the calculate button. Here is how the Restoring Torque for Simple Pendulum calculation can be explained with given input values -> 4.340377 = 12.6*9.8*sin(0.8)*0.049.

FAQ

What is Restoring Torque for Simple Pendulum?

Restoring torque for simple pendulum is the torque that rises to return an object (twisted, rotating, etc.) to its original orientation is the restoring torque. The oscillations of a simple pendulum are a very good example of the effects of restoring torque and is represented as τ = M*g*sin(θ_displaced)*L_string or Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String. Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it, Acceleration due to Gravity is acceleration gained by an object because of gravitational force, Angle through which the string is displaced is the displacement angle & Length of String is the length measurement of the string of pendulum.

How to calculate Restoring Torque for Simple Pendulum?

Restoring torque for simple pendulum is the torque that rises to return an object (twisted, rotating, etc.) to its original orientation is the restoring torque. The oscillations of a simple pendulum are a very good example of the effects of restoring torque is calculated using Torque Exerted on Wheel = Mass of Body*Acceleration due to Gravity*sin(Angle through which the string is displaced)*Length of String. To calculate Restoring Torque for Simple Pendulum, you need Mass of Body (M), Acceleration due to Gravity (g), Angle through which the string is displaced (θ_displaced) & Length of String (L_string). With our tool, you need to enter the respective value for Mass of Body, Acceleration due to Gravity, Angle through which the string is displaced & Length of String and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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