Normal Acceleration Solution

STEP 0: Pre-Calculation Summary
Formula Used
Normal Acceleration = Angular Velocity^2*Radius of Curvature
an = ω^2*Rc
This formula uses 3 Variables
Variables Used
Normal Acceleration - (Measured in Meter per Square Second) - Normal Acceleration is the component of acceleration for a point in curvilinear motion that is directed along the principal normal to the trajectory toward the center of curvature.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Radius of Curvature - (Measured in Meter) - The Radius of Curvature is the reciprocal of the curvature.
STEP 1: Convert Input(s) to Base Unit
Angular Velocity: 11.2 Radian per Second --> 11.2 Radian per Second No Conversion Required
Radius of Curvature: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
an = ω^2*Rc --> 11.2^2*15
Evaluating ... ...
an = 1881.6
STEP 3: Convert Result to Output's Unit
1881.6 Meter per Square Second --> No Conversion Required
FINAL ANSWER
1881.6 Meter per Square Second <-- Normal Acceleration
(Calculation completed in 00.004 seconds)

Credits

Created by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has created this Calculator and 2000+ more calculators!
Verified by Team Softusvista
Softusvista Office (Pune), India
Team Softusvista has verified this Calculator and 1100+ more calculators!

18 Kinematics Calculators

Angular Displacement given Initial Angular Velocity Angular Acceleration and Time
Go Angular Displacement = Initial Angular Velocity*Time Taken to Travel the Path+(Angular Acceleration*Time Taken to Travel the Path^2)/2
Displacement of Body given Initial Velocity Acceleration and Time
Go Displacement of Body = Initial Velocity*Time Taken to Travel the Path+(Acceleration of Body*Time Taken to Travel the Path^2)/2
Angular Displacement given Initial Angular Velocity Final Angular Velocity and Time
Go Angular Displacement = ((Initial Angular Velocity+Final Angular Velocity)/2)*Time Taken to Travel the Path
Angular Displacement of Body for given Initial and Final Angular Velocity
Go Angular Displacement = (Final Angular Velocity^2-Initial Angular Velocity^2)/(2*Angular Acceleration)
Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time
Go Final Angular Velocity = Initial Angular Velocity+Angular Acceleration*Time Taken to Travel the Path
Displacement of Body given Initial Velocity and Final Velocity
Go Displacement of Body = ((Initial Velocity+Final Velocity)/2)*Time Taken to Travel the Path
Angle Traced in Nth Second (Accelerated Rotatory Motion)
Go Angular Displacement = Initial Angular Velocity+((2*Nth Second-1)/2)*Angular Acceleration
Displacement of Body given Initial Velocity Final Velocity and Acceleration
Go Displacement of Body = (Final Velocity^2-Initial Velocity^2)/(2*Acceleration of Body)
Final Velocity of Body
Go Final Velocity = Initial Velocity+Acceleration of Body*Time Taken to Travel the Path
Final Velocity of Freely Falling Body from Height when it Reaches Ground
Go Velocity on Reaching Ground = sqrt(2*Acceleration due to Gravity*Height of Crack)
Distance Travelled in Nth Second (Accelerated Translatory Motion)
Go Distance Traveled = Initial Velocity+((2*Nth Second-1)/2)*Acceleration of Body
Resultant Acceleration
Go Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)
Angle of Inclination of Resultant Acceleration with Tangential Acceleration
Go Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)
Tangential Acceleration
Go Tangential Acceleration = Angular Acceleration*Radius of Curvature
Centripetal or Radial Acceleration
Go Angular Acceleration = Angular Velocity^2*Radius of Curvature
Normal Acceleration
Go Normal Acceleration = Angular Velocity^2*Radius of Curvature
Angular Velocity given Tangential Velocity
Go Angular Velocity = Tangential Velocity/Radius of Curvature
Average Velocity of Body given Initial and Final Velocity
Go Average Velocity = (Initial Velocity+Final Velocity)/2

Normal Acceleration Formula

Normal Acceleration = Angular Velocity^2*Radius of Curvature
an = ω^2*Rc

What is centripetal acceleration?

Centripetal acceleration, property of the motion of a body traversing a circular path. The acceleration is directed radially toward the center of the circle and has a magnitude equal to the square of the body's speed along the curve divided by the distance from the center of the circle to the moving body.

How to Calculate Normal Acceleration?

Normal Acceleration calculator uses Normal Acceleration = Angular Velocity^2*Radius of Curvature to calculate the Normal Acceleration, Normal Acceleration is also called centripetal acceleration. It is the component of acceleration for a point in curvilinear motion that is directed along the principal normal to the trajectory toward the center of curvature. Normal Acceleration is denoted by an symbol.

How to calculate Normal Acceleration using this online calculator? To use this online calculator for Normal Acceleration, enter Angular Velocity (ω) & Radius of Curvature (Rc) and hit the calculate button. Here is how the Normal Acceleration calculation can be explained with given input values -> 3024.6 = 11.2^2*15.

FAQ

What is Normal Acceleration?
Normal Acceleration is also called centripetal acceleration. It is the component of acceleration for a point in curvilinear motion that is directed along the principal normal to the trajectory toward the center of curvature and is represented as an = ω^2*Rc or Normal Acceleration = Angular Velocity^2*Radius of Curvature. The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time & The Radius of Curvature is the reciprocal of the curvature.
How to calculate Normal Acceleration?
Normal Acceleration is also called centripetal acceleration. It is the component of acceleration for a point in curvilinear motion that is directed along the principal normal to the trajectory toward the center of curvature is calculated using Normal Acceleration = Angular Velocity^2*Radius of Curvature. To calculate Normal Acceleration, you need Angular Velocity (ω) & Radius of Curvature (Rc). With our tool, you need to enter the respective value for Angular Velocity & Radius of Curvature and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!