The process of converting a continuous signal to a series of 1s and 0s introduces small errors to the sound as it is recorded. what is this process called?

Quantization

Quantization maps input values from continuous data into digital signals. This process is common in signal processing of sound, wave and seismic signals.

Round off and truncation errors are common in truncation processes.
Truncation errors are easier to control, but round off errors are dictated by the data processing hardware.

The magnitude of the particle´s velocity is 4m/s (can´t change from the initial point to the final point) and the magnitude of the acceleration (centripetal acceleration) is 8 m/s². you have to considerate a particle moving with constant angular velocity (Uniform circular motion).

Explanation:

If the particle has constant angular velocity, you are in the presence of a uniform circular motion. That means the magnitude of the radial velocity is a constant and the relation between radial velocity and angular velocity is:

        with R the circumference radius

In this kind of movement, the acceleration is perpendicular to the trajectory of the particle (centripetal acceleration). The expression of the magnitude of this acceleration is: