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4 · Displays & buses

Compute tilt (roll/pitch)

Expert30 min

Goal

Turn the 3 acceleration axes into tilt angles.

Why it matters

atan2() on the gravity vector gives attitude: the basis of a stabiliser.

What you need

  • Arduino UNO board
  • Piezo buzzer
  • MPU6050 IMU

Nothing to buy: every component below is simulated in the browser.

Steps

  1. 01Start from the IMU sketch.
  2. 02Compute roll = atan2(ay, az) and pitch = atan2(-ax, √(ay²+az²)).
  3. 03Convert radians to degrees (×57.2958).
  4. 04Filter the result slightly to stabilise it.

Starter sketch

// MPU6050 over I2C — raw register reads, no external library needed.
#include <Wire.h>

const uint8_t MPU = 0x68;

void writeReg(uint8_t reg, uint8_t val) {
  Wire.beginTransmission(MPU);
  Wire.write(reg);
  Wire.write(val);
  Wire.endTransmission();
}

int16_t readWord(uint8_t reg) {
  Wire.beginTransmission(MPU);
  Wire.write(reg);
  Wire.endTransmission(false);
  Wire.requestFrom(MPU, (uint8_t)2);
  int16_t hi = Wire.read();
  int16_t lo = Wire.read();
  return (hi << 8) | lo;
}

void setup() {
  Serial.begin(9600);
  Wire.begin();
  writeReg(0x6B, 0x00);   // wake up
  writeReg(0x1B, 0x00);   // gyro +/- 250 deg/s
  writeReg(0x1C, 0x00);   // accel +/- 2 g
  Serial.println("MPU6050 ready");
}

void loop() {
  float ax = readWord(0x3B) / 16384.0;
  float ay = readWord(0x3D) / 16384.0;
  float az = readWord(0x3F) / 16384.0;
  float gz = readWord(0x47) / 131.0;

  Serial.print("accel ");
  Serial.print(ax); Serial.print(" ");
  Serial.print(ay); Serial.print(" ");
  Serial.print(az);
  Serial.print("  gyroZ ");
  Serial.println(gz);

  delay(300);
}

This tutorial runs inside the Circuitly simulator: your wiring and your code are checked automatically at every step.

Frequently asked questions

Do I need to buy hardware for this tutorial?
No. Everything runs in the browser: Circuitly simulates the board, the components and the code. Real hardware is optional if you want to rebuild the circuit afterwards.
Which components are used?
Arduino UNO board, Piezo buzzer, MPU6050 IMU. They are already available in the simulator library.
How long does it take?
About 30 minutes, expert level, in 4 guided steps.
What should I know before starting?
The previous tutorial in the series, “MPU6050 inertial unit”, is enough preparation. No software install is required.
Is the code provided and checked?
Yes: a starter sketch is provided, and the simulator checks your wiring and your code automatically at every step.

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