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2 years ago

9

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

ble.

1 answer:

slava [35]2 years ago

8 0

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.

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