Angular Acceleration of String Calculator

✖Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖Angular Displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.ⓘ Angular Displacement [θ]			+10% -10%
✖Length of String is the length measurement of the string of pendulum.ⓘ Length of String [L_s]			+10% -10%

✖Angular Acceleration refers to the time rate of change of angular velocity.ⓘ Angular Acceleration of String [α]

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Angular Acceleration of String Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String
α = g*θ/L_s
This formula uses 4 Variables

Variables Used

Angular Acceleration - (Measured in Radian per Square Second) - Angular Acceleration refers to the time rate of change of angular velocity.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - Acceleration Due to Gravity is acceleration gained by an object because of gravitational force.
Angular Displacement - (Measured in Radian) - Angular Displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point.
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

Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angular Displacement: 120 Radian --> 120 Radian No Conversion Required
Length of String: 6180 Millimeter --> 6.18 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α = g*θ/L_s --> 9.8*120/6.18

Evaluating ... ...

α = 190.291262135922

STEP 3: Convert Result to Output's Unit

190.291262135922 Radian per Square Second --> No Conversion Required

FINAL ANSWER

190.291262135922 ≈ 190.2913 Radian per Square Second <-- Angular Acceleration

(Calculation completed in 00.004 seconds)

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< Simple Pendulum Calculators

Restoring Torque for Simple Pendulum

LaTeX Go Torque Exerted on Wheel = Mass of Body*Acceleration Due to Gravity*sin(Angle through which the String is Displaced)*Length of String

Angular Acceleration of String

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

Angular Frequency of Simple Pendulum

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

Angular Frequency of Spring of given Stiffness Constant

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

Angular Acceleration of String Formula

LaTeX Go

Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String
α = g*θ/L_s

What is the difference between angular acceleration and centripetal acceleration?

In a circular motion, the centripetal acceleration takes the direction towards the center, which varies over the circulation, but the angular acceleration takes the direction of the corkscrew law, which is a fixed direction.

What causes angular acceleration?

Torque is a measure of the force that can cause an object to rotate about an axis. Just as force is what causes an object to accelerate in linear kinematics, torque is what causes an object to acquire angular acceleration.

How to Calculate Angular Acceleration of String?

Angular Acceleration of String calculator uses Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String to calculate the Angular Acceleration, Angular Acceleration of String formula is defined as a measure of the rate of change of angular velocity of an object rotating about a fixed axis, particularly in the context of simple harmonic motion, where the string's angular acceleration is influenced by the gravitational force and its length. Angular Acceleration is denoted by α symbol.

How to calculate Angular Acceleration of String using this online calculator? To use this online calculator for Angular Acceleration of String, enter Acceleration Due to Gravity (g), Angular Displacement (θ) & Length of String (L_s) and hit the calculate button. Here is how the Angular Acceleration of String calculation can be explained with given input values -> 24000 = 9.8*120/6.18.

FAQ

What is Angular Acceleration of String?

Angular Acceleration of String formula is defined as a measure of the rate of change of angular velocity of an object rotating about a fixed axis, particularly in the context of simple harmonic motion, where the string's angular acceleration is influenced by the gravitational force and its length and is represented as α = g*θ/L_s or Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String. Acceleration Due to Gravity is acceleration gained by an object because of gravitational force, Angular Displacement is defined as the shortest angle between the initial and the final points for a given object undergoing circular motion about a fixed point & Length of String is the length measurement of the string of pendulum.

How to calculate Angular Acceleration of String?

Angular Acceleration of String formula is defined as a measure of the rate of change of angular velocity of an object rotating about a fixed axis, particularly in the context of simple harmonic motion, where the string's angular acceleration is influenced by the gravitational force and its length is calculated using Angular Acceleration = Acceleration Due to Gravity*Angular Displacement/Length of String. To calculate Angular Acceleration of String, you need Acceleration Due to Gravity (g), Angular Displacement (θ) & Length of String (L_s). With our tool, you need to enter the respective value for Acceleration Due to Gravity, Angular Displacement & 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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