DA40 Diamond Star
Flight Crew Flight Instructor; Flight Crew Commercial; Flight Crew Instrument; Flight Crew Multiengine
Flight Crew Last 90 Days 56; Flight Crew Total 1190; Flight Crew Type 1100
Communication Breakdown; Situational Awareness
Conflict NMAC
Flight Crew Took Evasive Action
Human Factors
I was training my student in uncontrolled airfield operations and emergency landings. We were departing Runway 25 when I heard Aircraft X call that they were in the upwind for Runway 25. As the plane was about to rotate I asked where the Aircraft X was and they confirmed in the upwind. I cleared the whole upwind as we climbed and I could not find the plane. I remembered that my plane has TCAS and switched to the map to find the plane. I saw that he was 400 ft. away and slightly above me and at my 4 o'clock and flying right towards me and overtaking my aircraft. I then heard the Aircraft X call that he was entering left crosswind for 25. I immediately radioed 'Aircraft X; we are on a collision course; change course to fly over midfield immediately'. There are towers and hills on Runway 25's departure so I was limited in my options to take evasive action. Someone who I assumed was a flight instructor called 'roger Aircraft X crossing midfield'. I [saw] the plane at my 5 o'clock turn away from my aircraft towards midfield as we climbed and attempted to get out of the way.
An instructor flying a DA40 reported a NMAC on initial climb from a Cessna 182 in the pattern.