A thin string is held at one end and oscillates vertically so that, y(x=0,t)=8sin4t (cm). Neglect the gravitational force. The string's linear mass density is 0.2 kg/m and its tension is 1 N. The string passes through a bath filled with 1 kg water. Due to friction heat is transferred to the bath. The heat transfer efficiency is 50\%. Calculate how much time passes before the temperature of the bath rises one degree kelvin?