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Calculate the speed of the tip of second’s hand of a watch of length 1.5 cm.
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Calculate the speed of the tip of second’s hand of a watch of length 1...
**Calculation of Speed of the Tip of Second's Hand of a Watch**

The speed of the tip of the second's hand of a watch can be calculated by considering the rotational motion of the hand. The second's hand moves in a circular motion around the center of the watch, completing one full rotation in 60 seconds. To calculate the speed, we need to determine the distance covered by the tip of the second's hand in a given time interval.

**Step 1: Determine the Circumference of the Circle**

The second's hand moves in a circular path, and the length of the second's hand represents the radius of this circle. In this case, the length of the second's hand is given as 1.5 cm. The circumference of a circle is given by the formula:

Circumference = 2 * π * radius

Substituting the given value, we have:

Circumference = 2 * 3.14 * 1.5 cm
Circumference = 9.42 cm

**Step 2: Determine the Time Taken for One Complete Rotation**

The second's hand completes one full rotation in 60 seconds. Therefore, the time taken for one complete rotation is 60 seconds.

**Step 3: Calculate the Speed**

Speed is defined as the distance covered per unit time. In this case, the distance covered by the tip of the second's hand in one complete rotation is equal to the circumference of the circular path.

Speed = Distance / Time

Substituting the values we calculated earlier, we have:

Speed = 9.42 cm / 60 s
Speed ≈ 0.157 cm/s

Therefore, the speed of the tip of the second's hand of the watch is approximately 0.157 cm/s.

In conclusion, the speed of the tip of the second's hand of a watch with a length of 1.5 cm is approximately 0.157 cm/s.
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