Using MPU6050 to G Force measurement

I am using the next code to measure G Force in +/- 16 G range.

#include "I2Cdev.h"
#include "MPU6050_6Axis_MotionApps20.h"
#if I2CDEV_IMPLEMENTATION == I2CDEV_ARDUINO_WIRE
    #include "Wire.h"
#endif

MPU6050 mpu;


/* =========================================================================
   NOTE: In addition to connection 3.3v, GND, SDA, and SCL, this sketch
   depends on the MPU-6050's INT pin being connected to the Arduino's
   external interrupt #0 pin. On the Arduino Uno and Mega 2560, this is
   digital I/O pin 2.
 * ========================================================================= */



//#define OUTPUT_READABLE_QUATERNION
//#define OUTPUT_READABLE_EULER
//#define OUTPUT_READABLE_YAWPITCHROLL
#define OUTPUT_READABLE_REALACCEL
//#define OUTPUT_READABLE_WORLDACCEL
//#define OUTPUT_TEAPOT



#define LED_PIN 13 // (Arduino is 13, Teensy is 11, Teensy++ is 6)
bool blinkState = false;

// MPU control/status vars
bool dmpReady = false;  // set true if DMP init was successful
uint8_t mpuIntStatus;   // holds actual interrupt status byte from MPU
uint8_t devStatus;      // return status after each device operation (0 = success, !0 = error)
uint16_t packetSize;    // expected DMP packet size (default is 42 bytes)
uint16_t fifoCount;     // count of all bytes currently in FIFO
uint8_t fifoBuffer[64]; // FIFO storage buffer

// orientation/motion vars
Quaternion q;           // [w, x, y, z]         quaternion container
VectorInt16 aa;         // [x, y, z]            accel sensor measurements
VectorInt16 aaReal;     // [x, y, z]            gravity-free accel sensor measurements
VectorInt16 aaWorld;    // [x, y, z]            world-frame accel sensor measurements
VectorFloat gravity;    // [x, y, z]            gravity vector
float euler[3];         // [psi, theta, phi]    Euler angle container
float ypr[3];           // [yaw, pitch, roll]   yaw/pitch/roll container and gravity vector

// packet structure for InvenSense teapot demo
uint8_t teapotPacket[14] = { '

The key code line is:

mpu.setFullScaleAccelRange(MPU6050_ACCEL_FS_16);

to set accelerometer in 16 G range

I think that works well because if I don´t make accelerations the out value is 1G (Earth G force)

But the problem is that if I hit the sensor with little hit, sometimes reaches the range of 16g and in my opinion that little hit is not 16 g.

The code is correct to put the sensor in the range of 16g?

Small hits can out 16g?

There are some other accelerometer to arduino with a greater range of 16 g?, 0x02, 0,0, 0,0, 0,0, 0,0, 0x00, 0x00, '\r', '\n' };

// ================================================================
// ===               INTERRUPT DETECTION ROUTINE                ===
// ================================================================

volatile bool mpuInterrupt = false;     // indicates whether MPU interrupt pin has gone high
void dmpDataReady() {
   mpuInterrupt = true;
}

// ================================================================
// ===                      INITIAL SETUP                       ===
// ================================================================

void setup() {
   // join I2C bus (I2Cdev library doesn't do this automatically)
   #if I2CDEV_IMPLEMENTATION == I2CDEV_ARDUINO_WIRE
       Wire.begin();
       TWBR = 24; // 400kHz I2C clock (200kHz if CPU is 8MHz)
   #elif I2CDEV_IMPLEMENTATION == I2CDEV_BUILTIN_FASTWIRE
       Fastwire::setup(400, true);
   #endif

// initialize serial communication
   // (115200 chosen because it is required for Teapot Demo output, but it's
   // really up to you depending on your project)
   Serial.begin(115200);
   while (!Serial); // wait for Leonardo enumeration, others continue immediately

// initialize device
   Serial.println(F("Initializing I2C devices..."));
   mpu.initialize();

// verify connection
   Serial.println(F("Testing device connections..."));
   Serial.println(mpu.testConnection() ? F("MPU6050 connection successful") : F("MPU6050 connection failed"));

delay(1000);

// load and configure the DMP
   Serial.println(F("Initializing DMP..."));
   devStatus = mpu.dmpInitialize();

// supply your own gyro offsets here, scaled for min sensitivity
   mpu.setXGyroOffset(220);
   mpu.setYGyroOffset(76);
   mpu.setZGyroOffset(-85);
   mpu.setZAccelOffset(1788); // 1688 factory default for my test chip
   mpu.setFullScaleAccelRange(MPU6050_ACCEL_FS_16);

// make sure it worked (returns 0 if so)
   if (devStatus == 0) {
       // turn on the DMP, now that it's ready
       Serial.println(F("Enabling DMP..."));
       mpu.setDMPEnabled(true);

// enable Arduino interrupt detection
       Serial.println(F("Enabling interrupt detection (Arduino external interrupt 0)..."));
       attachInterrupt(0, dmpDataReady, RISING);
       mpuIntStatus = mpu.getIntStatus();

// set our DMP Ready flag so the main loop() function knows it's okay to use it
       Serial.println(F("DMP ready! Waiting for first interrupt..."));
       dmpReady = true;

// get expected DMP packet size for later comparison
       packetSize = mpu.dmpGetFIFOPacketSize();
   } else {
       // ERROR!
       // 1 = initial memory load failed
       // 2 = DMP configuration updates failed
       // (if it's going to break, usually the code will be 1)
       Serial.print(F("DMP Initialization failed (code "));
       Serial.print(devStatus);
       Serial.println(F(")"));
   }

// configure LED for output
   pinMode(LED_PIN, OUTPUT);
 
}

// ================================================================
// ===                    MAIN PROGRAM LOOP                     ===
// ================================================================

void loop() {
 
 float x = mpu.getAccelerationX()/2048.0;
 float y = mpu.getAccelerationY()/2048.0;
 float z = mpu.getAccelerationZ()/2048.0;

Serial.println(sqrt(xx+yy+z*z));

delay(25);

}


The key code line is:

mpu.setFullScaleAccelRange(MPU6050_ACCEL_FS_16);

to set accelerometer in 16 G range

I think that works well because if I don´t make accelerations the out value is 1G (Earth G force)

But the problem is that if I hit the sensor with little hit, sometimes reaches the range of 16g and in my opinion that little hit is not 16 g.

The code is correct to put the sensor in the range of 16g?

Small hits can out 16g?

There are some other accelerometer to arduino with a greater range of 16 g?

in my opinion that little hit is not 16 g.

Your opinion is incorrect. A small force applied to a small mass like an accelerometer can generate very large accelerations (F = ma or a = F/m). The ADXL377, among others, measures up to +/- 200 g.