The SOLFIES company is dedicated to welding any type of metal, but especially aluminum parts. If the aluminum pieces that are welded come out at 1200°C and to speed up the cooling they are immersed in a tank full of water with a temperature of 0°C. In this case, the heat is transferred from the welded part to the water, causing the temperature to begin to decrease. Taking into account the temperature data of both the piece and the water, in addition to the value of the constant K= 0.02, it is necessary to know how long it takes for the piece to reach a temperature of 20°C in order to handle it and deliver it to the customer. MATH MODEL T'+KT=Tm SOLVED BY THE LAPLACE TRANSFORM METHOD

Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.

What is the decibel level of one of the new quiet dishwashers with intensity 107 watts per square inch?

What is the decibel level of a train whistle with intensity 103 watts per square inch?

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.

If y varies inversely with x and y=11 when x=3 find the equation that relates x and y.

Of two gears that mesh, the one that has the greater number of teeth is called the gear, and the one that has the fewer teeth is called the pinion (Figure 218). For each of the problems, set up a proportion, and determine the unknown value, x. Round the answers to 1 decimal place where necessary.

3. A cake is removed from an oven and its temperature is measured at 300°F. After 5 minutes, its temperature is 200°F. How long will it take for the cake to cool to room temperature of 65°F?