  We present dynamical measurements for 586 H-alpha detected star-forming
galaxies from the KMOS (K-band Multi-Object Spectrograph) Redshift One
Spectroscopic Survey (KROSS). The sample represents typical star-forming
galaxies at this redshift (z=0.6-1.0), with a median star formation rate of ~7
Msol/yr and a stellar mass range of log[M/Msol]~9-11. We find that the rotation
velocity-stellar mass relationship (the inverse of the Tully-Fisher
relationship) for our rotationally-dominated sources (v/sigma>1) has a
consistent slope and normalisation as that observed for z=0 disks. In contrast,
the specific angular momentum (j; angular momentum divided by stellar mass), is
~0.2-0.3 dex lower on average compared to z=0 disks. The specific angular
momentum scales as M^[0.6+/-0.2], consistent with that expected for dark matter
(i.e., proportional to M^[2/3]). We find that z~0.9 star-forming galaxies have
decreasing specific angular momentum with increasing Sersic index. Visually,
the sources with the highest specific angular momentum, for a given mass, have
the most disk-dominated morphologies. This implies that an angular
momentum-mass-morphology relationship, similar to that observed in local
massive galaxies, is already in place by z~1.
