SOLUTION: A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand travels between 2​:10 A.M. and 2​:15 A.M. Find the linear speed of the tip. The minute

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Question 1160509: A minute hand on a clock is 4 inches long. Determine how far the tip of the minute hand travels between 2​:10 A.M. and 2​:15 A.M. Find the linear speed of the tip.
The minute hand travels ? in.
Simplify your answer. Type an exact​ answer, using π as needed. Use integers or fractions for any numbers in the​ expression.

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
The circumference of the circle that the tip of the minute hand travels through
every 60 minutes is 2πr = 2π(4) = 8π inches.  

So its linear speed is 8π inches per 60 minutes or 8π/60 or 2π/15 inches per
minute.

In 5 minutes (from 2:10 to 2:15), the tip of the minute hand travels

(2π/15 in/min)∙(5 min) = 2π/3 inches.

Edwin


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