Answer:
The spindle speed is 37.4 rev./ min
Step-by-step explanation:
This is a form of joint variation. From the question, it can be deduced that:
S [tex]\alpha[/tex] [tex]\frac{C}{D}[/tex]
S = [tex]\frac{KC}{D}[/tex]
where K is the constant of proportionality.
Given that:
C = 50 feet per minute, D = 2 inches, S = 93.5 rev/ min, thus;
K = [tex]\frac{SD}{C}[/tex]
= [tex]\frac{2*93.5}{50}[/tex]
= [tex]\frac{187}{50}[/tex]
= 3.74
K = 3.74
When D = 4 inches, C = 40 feet /minute, the S can be determined by;
S = [tex]\frac{KC}{D}[/tex]
= [tex]\frac{3.74*40}{4}[/tex]
= 37.4 rev./ min
