Woods's ball was momentarily lost in the grey haze of the Scottish skies, before fans suddenly realised it had been mishit and was flying very much in their direction.
Hauck's video shows a scurry of bodies attempting to get out of the way, but he continued his filming.
A fairway marshal urgently pointed for the spectators to push back, but Hauck stood firm, capturing the moment that Woods's ball hit his phone.
His video footage was, of course, suddenly thrown into chaos, with the camera spinning and pointing towards the grass below his feet as the ball sent the phone flying out of his hand.
Laughter broke out in the crowd when fans realised nobody was injured, and that the phone had been capturing the scenes the whole time. One dazed onlooker could be heard questioning, 'did it hit you?'
Woods quickly came over to Hauck and the surrounding spectators to make sure all was well.
As it turned out, the collision between ball and phone afforded Woods a generous bounce. Instead of finding thick grass, his ball was left sitting invitingly short of the nearest bunker and in play.
Woods then signed a golf glove for his fan, who had flown over to Britain to watch him play.
'You are a good American,' Woods was heard to say as he joked with Hauck, before the pair then shook hands.
Taking to Twitter following the day's play, Hauck uploaded the footage, which quickly went viral online - the clip has been watched over 58,000 times on social media.
Captioning the post, Hauck wrote: 'In case anyone cares, this was the video I was taking when I was struck by my DEAR FRIEND @TigerWoods.'
On a breathtaking day at The Open, Woods ultimately did not win after scoring a double bogey on the 11th hole, failing to take advantage of his luck break via Hauck's phone.
Yet following his years of struggle with serious injury, the 42-year-old Woods finished a creditable 6th on five under par.
