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We present the results of a systematic search of the Transiting ExoplanetSurvey Satellite (TESS) 2-min cadence data for new rapidly oscillating Ap(roAp) stars observed during the Cycle 2 phase of its mission. We find sevennew roAp stars previously unreported as such and present the analysis of afurther 25 roAp stars that are already known. Three of the new stars showmultiperiodic pulsations, while all new members are rotationally variablestars, leading to almost 70 per cent (22) of the roAp stars presented being$\alpha^2$ CVn-type variable stars. We show that targeted observations of knownchemically peculiar stars are likely to overlook many new roAp stars, anddemonstrate that multi-epoch observations are necessary to see pulsationalbehaviour changes. We find a lack of roAp stars close to the blue edge of thetheoretical roAp instability strip, and reaffirm that mode instability isobserved more frequently with precise, space-based observations. In addition tothe Cycle 2 observations, we analyse TESS data for all known roAp stars. Thisamounts to 18 further roAp stars observed by TESS. Finally, we list six knownroAp stars that TESS is yet to observe. We deduce that the incidence of roApstars amongst the Ap star population is just 5.5 per cent, raising fundamentalquestions about the conditions required to excite pulsations in Ap stars. Thiswork, coupled with our previous work on roAp stars in Cycle 1 observations,presents the most comprehensive, homogeneous study of the roAp stars in theTESS nominal mission, with a collection of 112 confirmed roAp stars in total.

TESS Cycle 2 observations of roAp stars with 2-min cadence data