Determine the speed at which partial hydroplaning may occur, knowing the following information:

Tire pressure$=120($kPa$)$

Tire tread depth$=0\mathrm{.}3($mm$)$

Water film thickness$=1($mm$)$

Pavement surface texture depth$=0\mathrm{.}5($mm$)$

Also, the spin down of a wheel is assumed to be $10\%.$