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?

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

now, we can solve for t

sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

so, we have

total length =55 ft

now, we can use speed formula

we can plug values

so, speed is 7.07143 ft/sec

the minimum speed, in feet per second, that the conveyor must move is 7.07143 ft/sec

Step-by-step explanation:

Let's assume time it takes to cool is 't' seconds

so, we are given

The castings cool at the rate of 0.3°F (degrees Fahrenheit) per second

so, total change in temperature will be

must not be allowed to cool more than 7°F before being heat treated

so, that temperature must be equal to 7

now, we can solve for t

sec

now, we are given length of casting is 55 yards

so, firstly we will change it into ft

1 yard =3 ft

so,

so, we have

total length =55 ft

now, we can use speed formula

we can plug values

so, speed is 7.07143 ft/sec

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The answer is in the image 

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

The answer is in the image 

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.