In order to look for large super-fast rotators, five dedicated surveys covering ~ 188 square degree in the ecliptic plane have been carried out in R-band with ~10 min cadence using the intermediate Palomar Transient Factory in late 2014 and early 2015. Among 1029 reliable rotation periods obtained from the surveys, we discovered one new large super-fast rotator, (40511) 1999 RE88, and other 18 candidates. (40511) 1999 RE88 is an S-type inner main-belt asteroid with a diameter of D = 1.9 +- 0.3 km, which has a rotation period of P = 1.96 +- 0.01 hr and a lightcurve amplitude of ~0.1 mag. To maintain such fast rotation, an internal cohesive strength of ~780 Pa is required. Combining all known large super-fast rotators, their cohesive strengths all fall in the range of 100 to 1000 Pa of lunar regolith. However, the number of large super-fast rotators seems to be far less than the whole asteroid population. This might indicate a peculiar asteroid group for them. Although the detection efficiency for a long rotation period is greatly reduced due to our two-day observation time span, the spin-rate distributions of this work show consistent results with Chang et al. (2015) after considering the possible observational bias in our surveys. It shows a number decrease with increase of spin rate for asteroids with diameter of 3 < D < 15 km, and a number drop at spin-rate of f = 5 rev/day for asteroids with D < 3 km.
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