The family of the current owner, the late Ted Aitken of Harewood, have loaned the vehicle to Warbirds & Wheels to enable "car lovers from all over the world" to view this "piece of engineering beauty".
The car has some unusual features including 117" wheelbase, actual horse power of 58, four wheel brakes and the signature Rickenbacker insignia on the petrol cap, wheel cover and badge.
Warbirds & Wheels director Robert Duncan said it was an "absolute privilege" to finally have a Rickenbacker at the attraction.
"These cars were pretty advanced in their day," he said.
"While they didn't have the glamour or status symbol of say a Duesenberg, the four wheel brake technology and the fact that it was called a Rickenbacker made them the talk of the town."
"Unfortunately some of the other car companies saw this as an unfair advantage and went to great lengths to discredit the car and its four wheel brakes, implying they were unsafe. After some other bad business decisions the company closed in 1927," he added.
"Eddie Rickenbacker was quite the racing car driver in his day - as well as a war hero - so the Rickenbacker name is very well-known."
"We also believe it to be the only right hand drive one manufactured making it even more special," Mr Duncan added.
Capt. Eddie Rickenbacker was an American fighter ace in World War I and Medal of Honor recipient and with 26 aerial victories, he was America's most successful fighter ace in the war.
Capt. Eddie Rickenbacker
He was also a race car driver, automotive designer, government consultant in military matters and a pioneer in air transportation, as the long-time head of Eastern Air Lines and owner of the Indianapolis 500 Speedway.
Quite the character, "Fast Eddie" as he was nicknamed, cheated death over 135 times and has been the subject of a number of books and movies, and even wrote his own auto biography.
One of Rickenbacker's most famous near-death experiences occurred in October 1942 while on a tour of air bases in the Pacific to review both living conditions and operations.
After visiting several air and sea bases in Hawaii, Rickenbacker was provided an older B-17D Flying Fortress (s/n 40-3089) as transportation to the South Pacific.
The bomber strayed hundreds of miles off course while on its way to a refuelling stop on Canton Island and was forced to ditch in a remote and little-travelled part of the Central Pacific Ocean.
For 24 days, Rickenbacker, Army Captain Hans C. Adamson, his friend and business partner, Anchor and the rest of the crewmen drifted in life rafts at sea.
A US Navy patrol OS2U-3 Kingfisher float-plane spotted and rescued the survivors on November 13 off the coast of Nukufetau in Tuvalu. All were suffering from hyperthermia, sunburn, dehydration, and near-starvation.
Warbirds & Wheels will have the 1924 Model C Rickenbacker on display for the foreseeable future.
• Entry is $20 adult, $15 senior, $5 child under 18, under 5s free, family pass $45 (2 adults, unlimited children of same family