To determine the angular velocity of the second hand of a clock in degrees per second, let's start by understanding the full motion of the second hand.

1. Full Revolution: The second hand completes one full revolution (360 degrees) every 60 seconds, as there are 60 seconds in a minute.

2. Angular Velocity Calculation: $\text{Angular Velocity} = \frac{\text{Total Angle}}{\text{Total Time}} = \frac{360^\circ}{60 \text{ s}} = 6 \text{ degrees per second}$

Answer:

The angular velocity of the second hand of a mechanical clock is 6 degrees per second.

Would you like more details, or do you have any questions?

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Related Questions

1. What is the angular velocity of the minute hand in degrees per second?
2. How does the angular velocity of the hour hand compare to the second hand?
3. If a clock is observed for two minutes, what angle does the second hand sweep?
4. How does angular velocity change if the clock runs at double speed?
5. How would you calculate the angular velocity of a clock's hand in radians per second?

Tip:

Angular velocity is calculated by dividing the angle covered by the time taken to cover that angle.