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Resultant Acceleration Formula

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

a r = \sqrt{{a t}^{2} + {a n}^{2}}

a_r - Resultant Acceleration?a_t - Tangential Acceleration?a_n - Normal Acceleration?

Resultant Acceleration Example

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Here is how the Resultant Acceleration equation looks like with Values.

Here is how the Resultant Acceleration equation looks like with Units.

Here is how the Resultant Acceleration equation looks like.

24.0535 = \sqrt{24^{2} + {1.6039}^{2}}

24.0535m/s² = \sqrt{{24m/s²}^{2} + {1.6039m/s²}^{2}}

24.0535 = \sqrt{24^{2} + {1.6039}^{2}}

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Resultant Acceleration Solution

Follow our step by step solution on how to calculate Resultant Acceleration?

FIRST Step Consider the formula

a r = \sqrt{{a t}^{2} + {a n}^{2}}

Next Step Substitute values of Variables

∴

a r = \sqrt{{24m/s²}^{2} + {1.6039m/s²}^{2}}

Next Step Prepare to Evaluate

∴

a r = \sqrt{24^{2} + {1.6039}^{2}}

Next Step Evaluate

∴

a r = 24.0535339443085m/s²

LAST Step Rounding Answer

∴

a r = 24.0535m/s²

Resultant Acceleration Formula Elements

Variables

Functions

Resultant Acceleration

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

Symbol: a_r

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Resultant Acceleration

Tangential Acceleration

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.

Symbol: a_t

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Tangential Acceleration

Normal Acceleration

Normal Acceleration is the rate of change of velocity in the direction perpendicular to the motion of an object in a circular path.

Symbol: a_n

Measurement: AccelerationUnit: m/s²

Note: Value can be positive or negative.

Formulas to find Normal Acceleration

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.

Syntax: sqrt(Number)

Other formulas in Kinematics category

Go Final Angular Velocity given Initial Angular Velocity Angular Acceleration and Time

ω 1 = ω o + α \cdot t

Go Final Velocity of Body

v f = u + a \cdot t

Go Final Velocity of Freely Falling Body from Height when it Reaches Ground

V = \sqrt{2 \cdot g \cdot v}

Go Normal Acceleration

a n = ω^{2} \cdot R c

How to Evaluate Resultant Acceleration?

Resultant Acceleration evaluator uses Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2) to evaluate 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 evaluate Resultant Acceleration using this online evaluator? To use this online evaluator for Resultant Acceleration, enter Tangential Acceleration (a_t) & Normal Acceleration (a_n) and hit the calculate button.

FAQs on Resultant Acceleration

What is the formula to find Resultant Acceleration?

The formula of Resultant Acceleration is expressed as Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2). Here is an example- 24.05353 = sqrt(24^2+1.6039^2).

How to calculate Resultant Acceleration?

With Tangential Acceleration (a_t) & Normal Acceleration (a_n) we can find Resultant Acceleration using the formula - Resultant Acceleration = sqrt(Tangential Acceleration^2+Normal Acceleration^2). This formula also uses Square Root (sqrt) function(s).

Can the Resultant Acceleration be negative?

Yes, the Resultant Acceleration, measured in Acceleration can be negative.

Which unit is used to measure Resultant Acceleration?

Resultant Acceleration is usually measured using the Meter per Square Second[m/s²] for Acceleration. Kilometer per Square Second[m/s²], Micrometer per Square Second[m/s²], Mile per Square Second[m/s²] are the few other units in which Resultant Acceleration can be measured.

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Resultant Acceleration Formula

Resultant Acceleration Example

Resultant Acceleration Solution

Resultant Acceleration Formula Elements

Other formulas in Kinematics category

How to Evaluate Resultant Acceleration?

FAQs on Resultant Acceleration

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