Related RatesRotating spool As television cable is pulled

Chapter 3, Problem 150PE

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QUESTION:

Problem 150PE

Related Rates

Rotating spool As television cable is pulled from a large spool to be strung from the telephone poles along a street, it unwinds from the spool in layers of constant radius (see accompanying figure). If the truck pulling the cable moves at a steady 6 ft sec (a touch over 4 mph), use the equation s = rθ to find how fast (radians per second) the spool is turning when the layer of radius 1.2 ft is being unwound.

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QUESTION:

Problem 150PE

Related Rates

Rotating spool As television cable is pulled from a large spool to be strung from the telephone poles along a street, it unwinds from the spool in layers of constant radius (see accompanying figure). If the truck pulling the cable moves at a steady 6 ft sec (a touch over 4 mph), use the equation s = rθ to find how fast (radians per second) the spool is turning when the layer of radius 1.2 ft is being unwound.

ANSWER:

Solution:

Step 1 of 3:

The objective of this question by using the equation  to find how fast the spool is turning when a layer of radius 1.2ft is being unwound.

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