MPU6050 Arduino GY-521 Sensor Tutorial: Wiring and Code Overview

The I2C (Inter-Integrated Circuit) communication protocol is a widely-used serial bus system that enables communication between a master device and multiple slave devices using only two wires: Serial Clock (SCL) and Serial Data (SDA). The SCL line provides the clock signal generated by the master to synchronize data transfer, while the SDA line carries the actual data. Both lines are open-drain type, requiring pull-up resistors (typically 2kΩ for 400 kbps or 10kΩ for 100 kbps) to maintain high levels. The protocol supports up to 128 devices with 7-bit addressing or 1024 devices with 10-bit addressing, as each device has a unique preset address. Data is transferred in 8-bit sequences with acknowledge bits following each sequence, enabling reliable communication between master and slave devices.

I2C (Inter-Integrated Circuit) is a synchronous serial communication protocol developed by Philips in the 1980s for component communication. It requires only two wires: SDA for data and SCL for clock signals. The protocol supports up to 128 devices in standard mode (7-bit addressing) or 1024 devices in high-speed mode (10-bit addressing). Communication is initiated by a master device that controls the clock cycle and data transmission. The start condition (SDA low-to-low transition) signals communication beginning, followed by the slave address and read/write bit. Data is transmitted MSB-first, with each byte acknowledged by the slave.

I2C (Inter-Integrated Circuit) is a serial communication protocol for electronics that uses only two wires: SDA (Serial Data Line) and SCL (Serial Clock Line). The SDA line transmits data while SCL carries the clock signal, which oscillates between high and low to synchronize timing. The protocol operates in master-slave mode, where the master device (like Arduino) controls communication with slave devices. Each device has a unique address, allowing the master to select specific slaves. Communication begins with a start condition (SDA goes low before SCL), followed by an address frame, read/write bit, acknowledge bits, data frames, and ends with a stop condition. Data transfers only occur when the bus is idle (both lines high), requiring pull-up resistors.

I2C (Inter-Integrated Circuit) is a communication protocol using two lines: SDA (Serial Data) and SCL (Serial Clock). The 'serial' means data is transmitted one bit at a time. The CPU acts as master, sending commands to slave ICs. Each slave IC has a unique address (code). When the CPU sends a command, only the IC with the matching address responds and performs the action, while other ICs ignore the signal.

The I2C (Inter-Integrated Circuit) communication protocol is a synchronous serial communication standard that enables multiple masters and slaves to communicate over just two wires (SDA for data and SCL for clock), where data is transferred in messages consisting of start conditions, address frames (7-10 bits identifying the target slave), read/write bits, data frames (8 bits each), and acknowledgment bits, with the master controlling the clock and slaves responding by pulling the SDA line low to acknowledge received frames.

In translational motion, the solid basis maintains constant orientation, so the rotation matrix becomes the identity and angular velocity is zero. All points have the same velocity and acceleration, called the translational velocity and acceleration. The trajectories can be curved as long as the vector connecting any two points remains constant. In rotational motion, there exists a line in the solid space whose points remain fixed (axis of rotation). For rotational motion about the x3 axis, the rotation matrix is [[cosθ, -sinθ, 0], [sinθ, cosθ, 0], [0, 0, 1]]. Each point describes a circle in a plane perpendicular to the axis, with center at the projection onto the axis and radius equal to the distance from the axis.

Translational motion is the movement where all points of an object move in parallel paths. Rotational motion is the movement around a fixed axis or point. Angular velocity is the rate of change of angular position with respect to time, and angular acceleration is the rate of change of angular velocity. Angular velocity can be expressed in terms of its components along coordinate axes: ω = ω_x i + ω_y j + ω_z k. Angular acceleration is the time derivative of angular velocity. The linear velocity of a point on a rotating object is related to angular velocity by v = ω × r. The angular velocity vector can be expressed as the cross product of position and linear velocity vectors. Angular acceleration has both tangential and centripetal components.

Rotational motion occurs when all points trace concentric circles in planes perpendicular to the axis. The angular velocity vector ω is oriented using the right-hand rule. Point velocity is v_p = ω × r. Acceleration derives from differentiating velocity: a_p = (dω/dt) × r + ω × (dr/dt). This yields two components: tangential acceleration a_t = γ × r (representing velocity magnitude change) and normal acceleration a_n = -ω²r (directed toward the rotation center). When ω is constant, rotation is uniform; otherwise, instantaneous rotation with varying magnitude and axis orientation applies.

In rotational motion, the coordinate system follows: positive x-axis points right, negative x-axis points left, positive y-axis points up, negative y-axis points down, positive z-axis points out of the page (toward viewer), negative z-axis points into the page (away from viewer). This establishes the reference frame for angular quantities.

The velocity expression v = v_O + omega × r shows that the velocity of any point consists of a translational component (v_O) and a rotational component (omega × r). Similarly, the acceleration expression a = a_O + alpha × r + omega × (omega × r) contains a translational component (a_O), a tangential rotational component (alpha × r), and a centripetal rotational component (omega × (omega × r)). These expressions are general spatial expressions that specialize for planar motion.

This section covers breadboard prototyping for circuit building. Key concepts include: (1) Breadboard structure - power rails (red for 5V, black for ground) and central component area; (2) Rails are electrically connected, allowing components to share power; (3) Components must straddle different rows to prevent short circuits; (4) LED placement requires anode and cathode on different rows; (5) Resistor placement requires different rows for each terminal; (6) Wire connections form circuits between components; (7) Higher voltage (5V vs 3.3V) requires more resistance to maintain 20mA current.

Breadboards enable circuit prototyping without soldering. Horizontal rows are connected, vertical columns are not. Jumper wires connect components: male-to-male for breadboard-to-breadboard, male-to-female for component leads. Arduino provides multiple power pins: 5V (main power), 3.3V (lower voltage), and GND (ground). Different components require different voltages. The 3.3V pin is often used for components requiring lower voltage. Common ground (GND) serves as the reference point for all components in a circuit.

A breadboard is a plastic prototyping board with organized holes for circuit testing. Holes are arranged in horizontal lines (1-30) where all points share the same electrical potential, while power rails (+ and -) connect vertically. Three core electrical concepts are essential: Voltage (U) is the potential difference measured in Volts, Current (I) is the electron flow measured in Amperes, and Resistance (R) opposes current flow measured in Ohms. Ohm's Law (R = U/I) governs circuit behavior. Arduino digital pins output 5V (HIGH) or 0V (LOW). LEDs require approximately 3V and 5mA to operate safely. Without a resistor, the 5V supply would cause excessive current, potentially burning the LED. The resistor value is calculated as R = (5V - 3V) / 0.005A = 400 Ohms.

Breadboards are prototyping tools that allow electronic components to be connected without soldering. They feature rows and columns of connected holes where components can be inserted. The horizontal rows are connected, while vertical columns are also connected, creating a grid for circuit experimentation. Electrical circuits require a complete loop for current to flow from the power source through components and back. Ground (GND) serves as the reference point in circuits, similar to earth ground in household wiring. Batteries have positive and negative terminals, and components like LEDs also have polarity. Current flows from positive to negative, and circuits must be complete for current to flow.

Breadboards are special boards designed for prototyping electronics without soldering. They feature a grid of holes that are electrically continuous in rows, allowing components to be connected simply by inserting them into the holes. The central area contains two columns of rows side-by-side to accommodate integrated circuits, with each pin connected to an electrically continuous row. On each edge, there are typically two continuous bus lines—one for power and one for ground—allowing easy access to these connections from anywhere on the breadboard.