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

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 = $\frac{diameter}{2}$

           = $\frac{8}{2}$

           = 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 $\frac{22}{7}$ x 4

                                             = $\frac{176}{7}$

                                            = 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.