Can I work another part job with Tier 1 visa?

I have got tier 1 general visa. Can I take another part time job which is in totally different sector from my qualification and the full time job?

Yes you can. There is no restriction on taking up a part time job to go along with your full time job. But you may need to inform your current employer about the part time job if it is specified in your appointment letter that you ought to.