Question

The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the cable.

Answer 1

The linear velocity of the cable ≅ 327 feet per minute.

Explanation:

Given that the diameter of the drum = 8 feet

Radius of the drum =
`(diameter)/(2)`

=
`(8)/(2)`

= 4 feet

Radius of the drum = 4 feet

1 revolution = circumference of the drum

circumference of the drum = 2
`\pi`r

where r is the radius.

So that;

circumference of the drum = 2 x
`(22)/(7)` x 4

=
`(176)/(7)`

= 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.