Woofer is the term for a loudspeaker driver that is designed to produce low-frequency sounds, typically from around 40 Hertz up to a few thousand Hertz. The name, derived from one of the words for a dog's bark, contrasts with the name used for speakers designed to reproduce high-frequency sounds, tweeters.
There are many challenges in woofer manufacture such as stopping the cone cleanly at each end of the in/out cycle, loudness which requires the cone to move farther in and out, and ringing when the cone is underdamped. There are challenges with maintaining a stable impedance. Woofer design is about effectively converting an low frequency amplifier signal to mechanical air movement with high efficiency. Resonant frequency is one of a woofer's parameters and is determined by the compliance (flexibility) of the cone suspension, the mass of the cone, the magnetic field strength and the air resistance behind it. The lower the resonant frequency, the lower the frequency of sound that may be produced without distortion. Resonant frequency is listed in the Thiele/Small parameters as Fs.
All woofers have electrical/mechanical properties that dictate the correct box size and crossover components for a given finished loudspeaker. A given woofer may work well in one application and not in another. It is important to know and understand the Thiele/Small parameters in order to build a satisfactory loudspeaker in an enclosure.
There are good and bad woofers made with all types of cone materials. However, there is a lot more to driver construction than just cone material.
There are two types of power handling. Thermal (heat) and mechanical. Mechanical power handling may be reached in situations such as a ported (also known as bass reflex, or vented) enclosure, where the box no longer retains control of the woofer. Here the woofer will physically travel too far and will be physically damaged. On the flip side, thermal power handling may be reached (particularly in small sealed box designs) when too much power gets fed to the woofer but it does not exceed its stroke capability.
Woofers designed for public address (PA) and instrument applications are similar in makeup to home audio woofers. Key design variances are: Cabinets are built for regular shipping and handling, woofer cones are usually larger to allow for higher sound levels, voice coils are more robust to withstand higher voltages. Generally, a home woofer used in a PA/instrument application will fail in short order. A PA/instrument woofer used in a home application will not have as much low volume detail.
Pro audio woofers have high efficiency, and high power handling. The trade off for high efficiency is a relatively low excursion capability (they cannot move in and out as far as a home woofer does) and limited extreme low bass response. Because of this, most pro audio woofers are not designed to play extremely low in the musical spectrum. 30-40 Hz is usually the lower limit of such components.
The chart below defines the general operating ranges of different sized woofers. The green area represents the optimal woofer range while the yellow represents the extended range. The purple area represents the music range of almost all instruments. The lighter purple areas extend the instrument range to include rarely played notes, say the first and last 10 keys on the piano. Comparing the instrument versus driver ranges, one can get an idea of the speaker building problem: no woofer does everything well.
For woofers, the frequency is the number of times the cone of the woofer goes in and out per second and is measured in Hertz. So at 20 Hertz, the cone is going in and out 20 times every second. The faster the cone moves, the higher the pitch. The farther in and out the cone moves in each cycle, the louder it sounds.