The bar pattern speed (Omegab) is defined as the rotational frequency of the bar, and it determines the bar dynamics. Several methods have been proposed for measuring Omegab. This method has been applied so far to 17 galaxies, most of them SB0 and SBa types. We have applied the TW method to a new sample of 15 strong and bright barred galaxies, spanning a wide range of morphological types from SB0 to SBbc. Combining our analysis with previous studies, we investigate 32 barred galaxies with their pattern speed measured by the TW method. We measured Omegab using the TW method on the stellar velocity maps provided by the integral-field spectroscopy data from the CALIFA survey. Our results indicate that independent of the Hubble type, bars have been formed and then evolve as fast rotators. This observational result will constrain the scenarios of formation and evolution of bars proposed by numerical simulations.