Angle of Inclination of Resultant Acceleration with Tangential Acceleration Calculator

✖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%
✖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%

✖Inclination Angle is the angle between the horizontal and the direction of motion of an object, measured counterclockwise from the horizontal.ⓘ Angle of Inclination of Resultant Acceleration with Tangential Acceleration [Φ]

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Angle of Inclination of Resultant Acceleration with Tangential Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)
Φ = atan(a_n/a_t)
This formula uses 2 Functions, 3 Variables

Functions Used

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., 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., atan(Number)

Variables Used

Inclination Angle - (Measured in Radian) - Inclination Angle is the angle between the horizontal and the direction of motion of an object, measured counterclockwise from the horizontal.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Normal Acceleration: 1.6039 Meter per Square Second --> 1.6039 Meter per Square Second No Conversion Required
Tangential Acceleration: 24 Meter per Square Second --> 24 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Φ = atan(a_n/a_t) --> atan(1.6039/24)

Evaluating ... ...

Φ = 0.0667299430030103

STEP 3: Convert Result to Output's Unit

0.0667299430030103 Radian --> No Conversion Required

FINAL ANSWER

0.0667299430030103 ≈ 0.06673 Radian <-- Inclination Angle

(Calculation completed in 00.020 seconds)

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National Institute Of Technology (NIT), Hamirpur

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Angle of Inclination of Resultant Acceleration with Tangential Acceleration Formula

LaTeX Go

Inclination Angle = atan(Normal Acceleration/Tangential Acceleration)
Φ = atan(a_n/a_t)

What is Resultant Acceleration?

Resultant Acceleration is set by the 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.

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

Angle of Inclination of Resultant Acceleration with Tangential Acceleration calculator uses Inclination Angle = atan(Normal Acceleration/Tangential Acceleration) to calculate 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 calculate Angle of Inclination of Resultant Acceleration with Tangential Acceleration using this online calculator? To use this online calculator for Angle of Inclination of Resultant Acceleration with Tangential Acceleration, enter Normal Acceleration (a_n) & Tangential Acceleration (a_t) and hit the calculate button. Here is how the Angle of Inclination of Resultant Acceleration with Tangential Acceleration calculation can be explained with given input values -> 0.06673 = atan(1.6039/24).

FAQ

What is Angle of Inclination of Resultant Acceleration with Tangential Acceleration?

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 and is represented as Φ = atan(a_n/a_t) or Inclination Angle = atan(Normal Acceleration/Tangential Acceleration). Normal Acceleration is the rate of change of velocity in the direction perpendicular to the motion of an object in a circular path & 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.

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

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 is calculated using Inclination Angle = atan(Normal Acceleration/Tangential Acceleration). To calculate Angle of Inclination of Resultant Acceleration with Tangential Acceleration, you need Normal Acceleration (a_n) & Tangential Acceleration (a_t). With our tool, you need to enter the respective value for Normal Acceleration & Tangential 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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