A star motor has four connections (not including protective earth ground), while a delta motor has three connections (also not including protective earth ground).
A motor will run at the same speed in star and delta formation, the difference is related to torque capability and to an extent power drawn from the system. A star formation provides high torque...
If the motor is designed to operate on star (wye) then it is fine. If it is designed to operate on delta, then you need to consider that star will present lower operating voltage than delta, and that...