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/Lstring
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: 49 Millimeter --> 0.049 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
α = g*θ/Lstring --> 9.8*120/0.049
Evaluating ... ...
α = 24000
STEP 3: Convert Result to Output's Unit
24000 Radian per Square Second --> No Conversion Required
FINAL ANSWER
24000 Radian per Square Second <-- Angular Acceleration
(Calculation completed in 00.020 seconds)

Credits

Created by Pavan Kumar
Default Institute Name (Default Institute Short Name), Default Institute Location
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Verified by sanjay shiva
national institute of technology hamirpur (NITH ), hamirpur , himachal pradesh
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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

Angular Acceleration of String Formula

Angular Acceleration = Acceleration due to Gravity*Angular Displacement/Length of String
α = g*θ/Lstring

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, The Angular Acceleration of String formula is defined as the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second. 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 (Lstring) and hit the calculate button. Here is how the Angular Acceleration of String calculation can be explained with given input values -> 24000 = 9.8*120/0.049.

FAQ

What is Angular Acceleration of String?
The Angular Acceleration of String formula is defined as the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second and is represented as α = g*θ/Lstring 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?
The Angular Acceleration of String formula is defined as the time rate of change of the angular velocity and is usually designated by α and expressed in radians per second per second 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 (Lstring). 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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