The speed of sound is not faster than the speed at which the Earth rotates. In fact, the speed of sound is much slower than the rotational speed of the Earth.
The speed of sound is the speed at which sound waves travel through a medium, such as air or water. In dry air at sea level and at a temperature of about 20 degrees Celsius, the speed of sound is approximately 343 meters per second, or about 1,235 kilometers per hour.
On the other hand, the rotational speed of the Earth varies depending on your location. At the equator, the Earth rotates at a speed of about 1,670 kilometers per hour (or roughly 465 meters per second). However, as you move closer to the poles, the rotational speed decreases, eventually becoming zero at the Earth's axis.
Therefore, the speed of sound is significantly slower than the rotational speed of the Earth, regardless of your location.