Running an engine some 3000 RPM below its redline should be absolutely find for extended periods of time. It might “sound” a bit revvy if you run the engine at that RPM when stationary – and indeed it might get hot quite quickly as it will not have the cooling airflow that occurs when driving.

Is it bad to shift at 3000 rpm?

If you’re accelerating normally then shift at the lower end of that range — 2000 to 2500 rpms is usually appropriate. If you are accelerating faster then maybe 3000 rpms is a good shift point.

How fast is 3k rpm?

So, 3000 rpm would be about 26 mph. As a rough approximation, add 2 zeroes to the mph to get rpm: 93 mph is about 9300 rpm.