**Calculating the Speed of the Tip of the Second Hand of a Watch**

To calculate the speed of the tip of the second hand of a watch, we need to understand the concept of speed and how it relates to circular motion.

**Speed and Circular Motion**

Speed is defined as the distance traveled per unit of time. In circular motion, an object moves along a circular path, and its speed can be determined by dividing the distance traveled on the circular path by the time taken to travel that distance.

**Applying the Concept to the Watch Hand**

In the case of a watch hand, it moves in a circular motion around the center of the watch, completing one revolution in 60 seconds. The length of the second hand is given as 1.5 cm.

**Calculating the Circumference**

The first step is to calculate the circumference of the circular path that the second hand travels. The circumference of a circle is given by the formula:

Circumference = 2 * π * radius

In this case, the radius of the circular path is equal to the length of the second hand. Therefore, the circumference can be calculated as:

Circumference = 2 * π * 1.5 cm

**Calculating the Distance Traveled**

Since the second hand completes one revolution in 60 seconds, it covers the entire circumference of the circular path in that time. Therefore, the distance traveled by the tip of the second hand in 60 seconds is equal to the circumference of the circular path.

**Calculating the Speed**

To calculate the speed, we divide the distance traveled by the time taken. In this case, the time taken is 60 seconds.

Speed = Distance / Time

Therefore, the speed of the tip of the second hand can be calculated as:

Speed = Circumference / Time

Substituting the values, we get:

Speed = (2 * π * 1.5 cm) / 60 s

Simplifying the expression, we find:

Speed = π * 0.05 cm/s

**Conclusion**

The speed of the tip of the second hand of the watch is approximately π * 0.05 cm/s. This means that the tip of the second hand travels approximately 0.05 cm in one second.

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