  We present the correlation between the far-infrared (FIR) and radio emissions
from a composite sample of 72 nearby normal galaxies observed with the ISOPHOT
instrument on board the Infrared Space Observatory. The galaxies in the sample
have measurements at three FIR wavelengths (60, 100 and 170 micron), which
allowed a direct determination of the warm and cold FIR emission components.
This is the first time that the correlation has been established for the total
FIR luminosity, of which most is carried by the cold dust component
predominantly emitting longwards of the spectral coverage of IRAS. The slope of
this correlation is slightly non-linear (1.10+/-0.03). Separate correlations
between the warm and cold FIR emission components and the radio emission have
also been derived. The slope of the warm FIR/radio correlation was found to be
linear (1.03+/-0.03). For the cold FIR/radio correlation we found a slightly
non-linear (1.13+/-0.04) slope. We qualitatively interpret the correlations in
terms of star formation rate and find that both the FIR and radio emissions may
be consistent with a non-linear dependence on star formation rate for galaxies
not undergoing starburst activity.
