Baby is either crying, sleeping, or eating. No awake time?

Jeanette
My 1 month old is very colicky and cries all the time. I just switched formulas so hopefully that helps but he never has any awake time.. this is my first baby so Im not sure whats normal. He eats every 2 hours then cries for like 20min-1hour and Im spending that whole time trying to calm him , he'll stop for a few moments then starts again. Then he eventually will fall asleep. Then the whole thing starts all over again. Im worried he isnt awake and alert for enough time. Should i make an appt with the doctor?