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levacccp [35]
3 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.
Mathematics
1 answer:
slava [35]3 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\pir

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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