We investigate the relations between the properties of bars and their host galaxies in a sample of 104 nearby barred galaxies , spanning a wide range of morphological types and luminosities .
The sample includes all the galaxies with direct measurement of their bar pattern speed based on long-slit or integral-field stellar spectroscopy using the Tremaine-Weinberg method .
For each galaxy , we collected the radius , strength , pattern speed , corotation radius , and rotation rate for the bar and we considered the Hubble type and absolute SDSS r -band magnitude of the host galaxy .
We also derived the bulge-to-total luminosity ratio for a subsample of 34 galaxies with an available photometric decomposition .
We limited our analysis to the galaxies with a relatively small relative error on the bar pattern speed ( < 50 per cent ) and not hosting an ultrafast bar .
The final sample consists of 77 objects , with 34 SB0-SBa and 43 SBab-SBc galaxies .
We confirmed earlier observational findings that longer bars rotate with lower bar pattern speeds , shorter bars are weaker , fast bars rotate with higher bar pattern speeds and have smaller corotation radii , and disc-dominated galaxies host weaker bars .
In addition , we found that stronger bars rotate with lower bar pattern speeds as predicted for the interchange of angular momentum during bar evolution depending on galaxy properties .
Moreover , we report that brighter galaxies host longer bars , which rotate with lower bar pattern speeds and have larger corotation radii .
This result , together with the fact that we observe stronger bars in bulge-dominated galaxies , is in agreement with a scenario of downsizing in bar formation and co-evolution of bars and bulges , if more massive galaxies formed earlier and had sufficient time to slow down , grow in length , and push corotation outwards .