Chapter 2.8, Problem 50E

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8th Edition

James Stewart

ISBN: 9781285740621

Textbook Problem

The minute hand on a watch is 8 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o’clock?

To determine

**To find:**

How fast is the distance between the tips of the hands changing at one o’ clock position?

Explanation

**1. Concept:**

We can plot the figure from the given situation and then apply the cosine and differentiation to find the rate.

**2. Formula:**

i. Cosine rule:

ii.

**3. Given:**

Length of minute hand = 8 mm, length of hour hand = 4 mm.

**4. Calculations:**

By cosine rule the distance between the two at given angular distance

Differentiate it with respect to t.

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