An oil bath maintained at 40°C with a convective coefficient 500 W/m2·K is used to quench stainless steel spherical ball bearings ( 25 W/m·K, 4.85 x 10-6 m2/s) in order to harden them. Consider a ball bearing of uniform temperature 850°C and a diameter of 40 mm. How long, in seconds, will it take for the surface temperature of the sphere to reach 100°C? What is the corresponding center temperature, in °C?

Afisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surface of the water. it takes a time of 2.20 s for the boat to travel from its highest point to its lowest, a total distance of 0.670 m . the fisherman sees that the wave crests are spaced a horizontal distance of 5.80 m apart. (a) how much is the wavelength? (b) find the period of the wave. (c) how fast are the waves traveling? (d) what is the amplitude a of each wave?