Resultant Acceleration Calculator

✖Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.ⓘ Tangential Acceleration [a_t]			+10% -10%
✖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.ⓘ Normal Acceleration [a_n]			+10% -10%

✖Resultant Acceleration is set by the resultant force.ⓘ Resultant Acceleration [a_r]

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Formula

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Resultant Acceleration

Formula

`"a"_{"r"} = sqrt("a"_{"t"}^2+"a"_{"n"}^2)`

Example

`"6000.048m/s²"=sqrt(("24m/s²")^2+("6000m/s²")^2)`

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Resultant Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)
a_r = sqrt(a_t^2+a_n^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Resultant Acceleration - (Measured in Meter per Square Second) - Resultant Acceleration is set by the resultant force.
Tangential Acceleration - (Measured in Meter per Square Second) - Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path.
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.

STEP 1: Convert Input(s) to Base Unit

Tangential Acceleration: 24 Meter per Square Second --> 24 Meter per Square Second No Conversion Required
Normal Acceleration: 6000 Meter per Square Second --> 6000 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_r = sqrt(a_t^2+a_n^2) --> sqrt(24^2+6000^2)

Evaluating ... ...

a_r = 6000.047999808

STEP 3: Convert Result to Output's Unit

6000.047999808 Meter per Square Second --> No Conversion Required

FINAL ANSWER

6000.047999808 ≈ 6000.048 Meter per Square Second <-- Resultant Acceleration

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< 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

Resultant Acceleration Formula

Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2)
a_r = sqrt(a_t^2+a_n^2)

What is acceleration?

Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities (in that they have magnitude and direction). The orientation of an object's acceleration is given by the orientation of the net force acting on that object.

How to Calculate Resultant Acceleration?

Resultant Acceleration calculator uses Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2) to calculate the Resultant Acceleration, Resultant Acceleration is set by resultant force. When the forces acting on an object do not balance, the resultant force will cause the object to accelerate in the direction of the resultant force. In other words, a resultant force on a body will cause it to change its velocity . This simply means that unbalanced forces will cause acceleration. Resultant Acceleration is denoted by a_r symbol.

How to calculate Resultant Acceleration using this online calculator? To use this online calculator for Resultant Acceleration, enter Tangential Acceleration (a_t) & Normal Acceleration (a_n) and hit the calculate button. Here is how the Resultant Acceleration calculation can be explained with given input values -> 6000.048 = sqrt(24^2+6000^2).

FAQ

What is Resultant Acceleration?

Resultant Acceleration is set by resultant force. When the forces acting on an object do not balance, the resultant force will cause the object to accelerate in the direction of the resultant force. In other words, a resultant force on a body will cause it to change its velocity . This simply means that unbalanced forces will cause acceleration and is represented as a_r = sqrt(a_t^2+a_n^2) or Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2). Tangential acceleration is defined as the rate of change of tangential velocity of the matter in the circular path & 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.

How to calculate Resultant Acceleration?

Resultant Acceleration is set by resultant force. When the forces acting on an object do not balance, the resultant force will cause the object to accelerate in the direction of the resultant force. In other words, a resultant force on a body will cause it to change its velocity . This simply means that unbalanced forces will cause acceleration is calculated using Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2). To calculate Resultant Acceleration, you need Tangential Acceleration (a_t) & Normal Acceleration (a_n). With our tool, you need to enter the respective value for Tangential Acceleration & Normal Acceleration 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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