Answer:
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
[tex]=0.3\times t[/tex]
[tex]=0.3t[/tex]
must not be allowed to cool more than 7°F before being heat treated
so, that temperature must be equal to 7
[tex]0.3t=7[/tex]
now, we can solve for t
[tex]t=\frac{7}{0.3}[/tex]
[tex]t=\frac{70}{3}[/tex]sec
now, we are given length of casting is 55 yards
so, firstly we will change it into ft
1 yard =3 ft
so,
[tex]55 yard=3\times 55 ft[/tex]
[tex]55 yard=165 ft[/tex]
so, we have
total length =55 ft
now, we can use speed formula
[tex]speed=\frac{length}{time}[/tex]
we can plug values
[tex]speed=\frac{165}{\frac{70}{3} }[/tex]
so, speed is 7.07143 ft/sec
Answer:
7.07 is the answer i got as well
Step-by-step explanation:
