Answer:
The linear velocity of the cable ≅ 327 feet per minute.
Step-by-step explanation:
Given that the diameter of the drum = 8 feet
Radius of the drum = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{8}{2}[/tex]
= 4 feet
Radius of the drum = 4 feet
1 revolution = circumference of the drum
circumference of the drum = 2[tex]\pi[/tex]r
where r is the radius.
So that;
circumference of the drum = 2 x [tex]\frac{22}{7}[/tex] x 4
= [tex]\frac{176}{7}[/tex]
= 25.143
circumference of the drum = 25.143 feet
The linear velocity of the cable = (13 x 25.143) feet per minute
= 326.859 feet per minute
The linear velocity of the cable ≅ 327 feet per minute.
