Transmissions and clutch assemblies for transmissions are disclosed herein. A transmission includes an input shaft, an output shaft, and a clutch assembly. The input shaft is configured to receive rotational power. The output shaft is configured to transmit rotational power to a load. The clutch assembly is coupled between the input shaft and the output shaft to selectively transmit rotational power therebetween in use of the transmission. The clutch assembly includes a housing, a piston, and a disc spring. The piston is movable relative to the housing and cooperates with the housing to at least partially define a first cavity that is configured to receive hydraulic fluid such that a first centrifugal pressure force is created in use of the clutch assembly. The disc spring is movable relative to the housing.