Recording Internet Radio for private use is legal in most countries. It is an excellent way to increase the own music collection legally in short time. You find several free and many paid applications on the Internet that offer to record Internet Radio but none that worked so well as the Stripper and Streamripper combination.
Stripper is a Java frontend for Streamripper that offers and easy to use interface with the option to add and record multiple Internet Radio stations simultaneously. Both applications are available for a variety of operating systems including Windows and Linux.
I would begin by installing Streamripper on the system. Stripper itself is a JAR file that can be executed without installation if the Java Runtime Environment is installed on the system. It asks for a few preferences at start, most notably the path to streamripper.exe and the path where the music should be saved in.