Beefcake relay control kit - Sparkfun
Assuming a 0.7 drop for Vbe and a 5v Arduino system the base current should be about:  

(5v-0.7v) / 1000 ohm = 4.3ma.  

That should be well within the transistor's normal operating range for base current.  

(If you have a 3.3v Arduino system the base current is about 2.6ma, with the same assumptions.)

There doesn't seem to be any problem.

(If you needed any additional accuracy here the 10k would actually reduce the base current very slightly, by about 0.07ma. - just in case anyone wants to complain.)