ATX LTT ELECTED TO DEPART RWY 6 WHEN A C172 WAS TURNING FINAL. C172 ELECTED TO GAR AND WAS VERY UPSET. ATX CAPT FELT THERE WAS PLENTY OF ROOM AND WAS NOT CUTTING OFF THE C172.

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WE WERE HOLDING SHORT OF RWY. THE CESSNA CALLED OVERHEAD ARPT ENTERING R DOWNWIND RWY 6. WE GOT RELEASED BY CTR TO TKOF IFR. I BEGAN TO TAKE THE RWY FOR DEP AND OBSERVED THE CESSNA TURNING DOWNWIND TO BASE. BEING A FORMER ATC'ER I FIGURED WE HAD PLENTY OF ROOM TO DEPART WITH A ROLLING TKOF. WE LINED UP WITH CTRLINE OF RWY AND AT THAT TIME THE CESSNA WAS ON BASE LEG. WE BEGAN TO ROLL ON OUR TKOF AND THE CESSNA CALLED FINAL LEG ON CTAF. AS WE WERE ROLLING ON OUR TKOF; THE CESSNA CALLED GAR DUE TO TFC. WE ROTATED AND CLBED OUT WITH NO PROB. THE CESSNA PLT STATED ON CTAF WE DIDN'T GIVE HIM ANY ROOM TO LAND. NO CORRECTIVE ACTION WAS NECESSARY ON MY PART; BUT THE CESSNA MADE A GAR AND LNDG THE NEXT TIME AROUND. IN SPEAKING WITH THE CESSNA PLT LATER; I PERCEIVED THE CESSNA PLT HAD LIMITED EXPERIENCE WITH WAKE TURB SITS AND CONGESTED TFC PATTERNS. THIS LACK OF EXPERIENCE CAUSED THE CESSNA PLT TO MAKE AN UNNEEDED GAR AND CAUSE A MORE DANGEROUS SIT THAN THE PERCEIVED PROB ORIGINALLY. I FEEL JUDGEMENT AND ACFT PERFORMANCE KNOWLEDGE OR THEIR LACK OF; CAUSED THIS SIT. I THINK I LEARNED -- DON'T ASSUME THE OTHER GUY IS THINKING THE SAME THING YOU ARE THINKING. SUPPLEMENTAL INFO FROM ACN 367343: THE C172 TURNING FROM BASE TO FINAL (PLENTY OF ROOM!). WE DEPARTED AND THE PLT OF THE C172 ANNOUNCED HE WOULD BE GOING AROUND AND 'THANKS A LOT.' HE THEN CALLED US JERKS FOR DEPARTING. WHEN WE LANDED IN DENVER; THE PLT OF THE C172 HAD ALREADY CONTACTED DENVER OPS AND OUR CORPORATE OFFICES THAT WE HAD 'CUT HIM OFF.'