The exercise cycles on the Titanic were of the Hutchens-Hamilton "Home Trainer" type, popular in Edwardian times for static cycles races.

The " Titanic " Loss.
Much has been written of the luxurious appointments of the ill-fated " Titanic." The huge physical culture department included two home trainers of the Hutchins-Hamilton [sic] type, so popular in cycling circles. The pattern is that with the large dial facing the pedaller, a pointer revolving clockwise around the edge, on which are marked figures denoting the miles covered. - Cycling, 25 April 1912

Lawrence Beesley and a friend who came to see him off at Southampton, try out the new "his and hers" trainer cycles on the Titanic (Illustrated London News); A builders' photo of the gymnasium on the Olympic with the cycles at far right (Harland & Wolff); One of the cycles still visible on the wreck.