Resultant Acceleration Calculator

✖Tangential Acceleration is the rate of change of tangential velocity of an object moving in a circular path, describing its acceleration along the direction of motion.ⓘ Tangential Acceleration [a_t]			+10% -10%
✖Normal Acceleration is the rate of change of velocity in the direction perpendicular to the motion of an object in a circular path.ⓘ Normal Acceleration [a_n]			+10% -10%

✖Resultant Acceleration is the net acceleration of an object, resulting from the combination of multiple accelerations acting on it in different directions.ⓘ 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

24.05353 m/s² = \sqrt{{24 m/s²}^{2} + {1.6039 m/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 the net acceleration of an object, resulting from the combination of multiple accelerations acting on it in different directions.
Tangential Acceleration - (Measured in Meter per Square Second) - Tangential Acceleration is the rate of change of tangential velocity of an object moving in a circular path, describing its acceleration along the direction of motion.
Normal Acceleration - (Measured in Meter per Square Second) - Normal Acceleration is the rate of change of velocity in the direction perpendicular to the motion of an object in a circular path.

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: 1.6039 Meter per Square Second --> 1.6039 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+1.6039^2)

Evaluating ... ...

a_r = 24.0535339443085

STEP 3: Convert Result to Output's Unit

24.0535339443085 Meter per Square Second --> No Conversion Required

FINAL ANSWER

24.0535339443085 ≈ 24.05353 Meter per Square Second <-- Resultant Acceleration

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Kinematics Calculators

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

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)

Normal Acceleration

Go Normal Acceleration = Angular Velocity^2*Radius of Curvature

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 formula is defined as a measure of the net acceleration of an object that is moving in two dimensions, taking into account both the tangential and normal components of acceleration, providing a comprehensive understanding of the object's motion in a specific context. 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 -> 24.05353 = sqrt(24^2+1.6039^2).

FAQ

What is Resultant Acceleration?

Resultant Acceleration formula is defined as a measure of the net acceleration of an object that is moving in two dimensions, taking into account both the tangential and normal components of acceleration, providing a comprehensive understanding of the object's motion in a specific context 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 the rate of change of tangential velocity of an object moving in a circular path, describing its acceleration along the direction of motion & Normal Acceleration is the rate of change of velocity in the direction perpendicular to the motion of an object in a circular path.

How to calculate Resultant Acceleration?

Resultant Acceleration formula is defined as a measure of the net acceleration of an object that is moving in two dimensions, taking into account both the tangential and normal components of acceleration, providing a comprehensive understanding of the object's motion in a specific context 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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