Enter the acceleration values in the X and Y directions into the calculator to determine the angle.

Accelerometer Angle Calculator

Enter any 2 values to calculate the missing variable

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Accelerometer Angle Formula

The following formula is used to calculate the angle from the accelerometer readings in the X and Y directions.

θ = atan2(A_y, A_x) * \frac{180}{π}

Variables:

  • θ is the angle in degrees
  • Ax is the acceleration in the X direction (m/s²)
  • Ay is the acceleration in the Y direction (m/s²)

To calculate the angle, use the arctangent function (atan2) with the Y and X acceleration values, then convert the result from radians to degrees.

What is an Accelerometer?

An accelerometer is a device that measures the acceleration forces acting on it. These forces can be static, like the constant force of gravity, or dynamic, caused by moving or vibrating the accelerometer. Accelerometers are commonly used in various applications, including smartphones, automotive systems, and industrial equipment, to detect orientation, movement, and vibration.

How to Calculate Accelerometer Angle?

The following steps outline how to calculate the angle using accelerometer readings.

  1. First, measure the acceleration in the X direction (Ax).
  2. Next, measure the acceleration in the Y direction (Ay).
  3. Next, calculate the angle using the formula θ = atan2(Ay, Ax) * (180 / π).
  4. Finally, calculate the angle in degrees.
  5. After inserting the values and calculating the result, check your answer with the calculator above.

Example Problem : 

Use the following variables as an example problem to test your knowledge.

Acceleration in the X direction (Ax) = 3 m/s²

Acceleration in the Y direction (Ay) = 4 m/s²