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Calculus / University Calculus: Early Transcendentals 2 / Chapter 3.PE / Problem 150PE

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

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Rotating spool As television cable is pulled from a large

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QUESTION:

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 = r? 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:

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 = r? 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 s = r to find how fast the spool is turning when a layer of radius 1.2ft is being unwound.

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