At the metal-casting company where you work, you must set up a conveyor system to move castings from the furnace to the heat treatment area 55 yards away. The castings cool at the rate of 0. 3°F (degrees Fahrenheit) per second and must not be allowed to cool more than 7°F before being heat treated. What is the minimum speed, in feet per second, that the conveyor must move?.

Respuesta :

The minimum speed in ft/s at which the conveyor must move is; 7.07 ft/s

We are told that;

Cooling rate of castings; 0.3°F/s

Maximum cooling temperature; 7°F

Thus time for the temperature to reach maximum of 7°F is;

Time = 7/0.3

Time = 23.33 s

Now, we want the distance of the castings to the heat treatment area to be 55 yards away.

Thus, distance = 55 yards

Converting 55 yards to ft gives;

55 yards = 55 × 3 feet = 165 ft

Now, formula for speed is;

Speed = distance/time

Thus;

Speed = 165/23.33

Speed = 7.07 ft/s

Read more about speed, distance and time at; https://brainly.com/question/4931057