DA40 Diamond Star
Flight Crew Commercial; Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Flight Instructor
Flight Crew Last 90 Days 250; Flight Crew Total 830; Flight Crew Type 500
Situational Awareness
Conflict NMAC
General None Reported / Taken
Human Factors
On a training flight for my student working on his instrument rating we were climbing out and I heard a Cessna setting up to come into the traffic pattern when we were taking off. He made a call that he was 6 miles west of the airport. We were tracking out the VOR that is about 7 miles west of the airfield. As we started to make our turn to the west I made radio calls that we were heading out to the VOR on the departure procedure. When we were about 2 miles west of the field I made a call and asked where [the Cessna] was and there was no answer. I called again and no answer. The third time I called he said he was 4 miles west of the field which was about where we were. I asked for some clarification of where he was and as I looked for him he came out of my blind spot and passed of our left wing about 300 feet from us. He didn't even see us. I learned after the flight that he is a student pilot flying solo.
DA40 instructor pilot reported a near midair collision on departure.