No, the speed of a satellite in orbit around the Earth is not the same as the speed of the Earth's rotation. The speed of a satellite in orbit depends on its altitude and the mass of the planet it is orbiting.
Satellites in low Earth orbit (LEO), which are closer to the Earth's surface, have relatively fast orbital speeds. For example, the International Space Station (ISS) orbits the Earth at an average speed of about 28,000 kilometers per hour (17,500 miles per hour). This allows the ISS to complete one orbit around the Earth in approximately 90 minutes.
On the other hand, the Earth's rotation speed at the equator is approximately 1,670 kilometers per hour (1,040 miles per hour). This rotational speed is much slower compared to the orbital speed of satellites in LEO.
It's important to note that the speeds of satellites in higher orbits, such as geostationary satellites, are slower than those in LEO. Geostationary satellites, which orbit at an altitude of about 36,000 kilometers (22,000 miles) above the Earth's equator, have an orbital speed that matches the rotation speed of the Earth. This allows them to remain stationary relative to a fixed point on the Earth's surface.