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Angle of Inclination of Resultant Acceleration with Tangential Acceleration Formula

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Inclination Angle is the angle between the horizontal and the direction of motion of an object, measured counterclockwise from the horizontal. Check FAQs

Φ = a \tan (\frac{a n}{a t})

Φ - Inclination Angle?a_n - Normal Acceleration?a_t - Tangential Acceleration?

Angle of Inclination of Resultant Acceleration with Tangential Acceleration Example

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Here is how the Angle of Inclination of Resultant Acceleration with Tangential Acceleration equation looks like with Values.

Here is how the Angle of Inclination of Resultant Acceleration with Tangential Acceleration equation looks like with Units.

Here is how the Angle of Inclination of Resultant Acceleration with Tangential Acceleration equation looks like.

0.0667 = a \tan (\frac{1.6039}{24})

0.0667rad = a \tan (\frac{1.6039m/s²}{24m/s²})

0.0667 = a \tan (\frac{1.6039}{24})

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Angle of Inclination of Resultant Acceleration with Tangential Acceleration Solution

Follow our step by step solution on how to calculate Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

FIRST Step Consider the formula

Φ = a \tan (\frac{a n}{a t})

Next Step Substitute values of Variables

∴

Φ = a \tan (\frac{1.6039m/s²}{24m/s²})

Next Step Prepare to Evaluate

∴

Φ = a \tan (\frac{1.6039}{24})

Next Step Evaluate

∴

Φ = 0.0667299430030103rad

LAST Step Rounding Answer

∴

Φ = 0.0667rad

Angle of Inclination of Resultant Acceleration with Tangential Acceleration Formula Elements

Variables

Functions

Inclination Angle

Inclination Angle is the angle between the horizontal and the direction of motion of an object, measured counterclockwise from the horizontal.

Symbol: Φ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Inclination Angle

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

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

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

atan

Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle.

Syntax: atan(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 Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

Angle of Inclination of Resultant Acceleration with Tangential Acceleration evaluator uses Inclination Angle = atan(Normal Acceleration/Tangential Acceleration) to evaluate the Inclination Angle, Angle of Inclination of Resultant Acceleration with Tangential Acceleration formula is defined as the angle at which the resultant acceleration vector intersects the tangential acceleration vector, providing a measure of the direction of the net acceleration in relation to the direction of motion. Inclination Angle is denoted by Φ symbol.

How to evaluate Angle of Inclination of Resultant Acceleration with Tangential Acceleration using this online evaluator? To use this online evaluator for Angle of Inclination of Resultant Acceleration with Tangential Acceleration, enter Normal Acceleration (a_n) & Tangential Acceleration (a_t) and hit the calculate button.

FAQs on Angle of Inclination of Resultant Acceleration with Tangential Acceleration

What is the formula to find Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

The formula of Angle of Inclination of Resultant Acceleration with Tangential Acceleration is expressed as Inclination Angle = atan(Normal Acceleration/Tangential Acceleration). Here is an example- 0.06673 = atan(1.6039/24).

How to calculate Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

With Normal Acceleration (a_n) & Tangential Acceleration (a_t) we can find Angle of Inclination of Resultant Acceleration with Tangential Acceleration using the formula - Inclination Angle = atan(Normal Acceleration/Tangential Acceleration). This formula also uses Tangent, Inverse tan function(s).

Can the Angle of Inclination of Resultant Acceleration with Tangential Acceleration be negative?

Yes, the Angle of Inclination of Resultant Acceleration with Tangential Acceleration, measured in Angle can be negative.

Which unit is used to measure Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

Angle of Inclination of Resultant Acceleration with Tangential Acceleration is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Angle of Inclination of Resultant Acceleration with Tangential Acceleration can be measured.

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Angle of Inclination of Resultant Acceleration with Tangential Acceleration Formula

Angle of Inclination of Resultant Acceleration with Tangential Acceleration Example

Angle of Inclination of Resultant Acceleration with Tangential Acceleration Solution

Angle of Inclination of Resultant Acceleration with Tangential Acceleration Formula Elements

Other formulas in Kinematics category

How to Evaluate Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

FAQs on Angle of Inclination of Resultant Acceleration with Tangential Acceleration

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