Understanding Clock Hand Movements
When calculating the number of right angles turned through by the hour hand of a clock, we first need to understand the movement of the clock hands.
Movement of the Hour Hand
- The hour hand completes one full revolution, which is 360 degrees, in 12 hours.
- Therefore, the hour hand moves at a rate of 30 degrees per hour (360 degrees / 12 hours).
Right Angles in a Clock
- A right angle is 90 degrees.
- As the hour hand moves 30 degrees per hour, it will take the hour hand 3 hours to cover 90 degrees (90 degrees / 30 degrees per hour).
Calculating Right Angles
- In one full rotation (12 hours), the hour hand makes four right angle turns:
- 3:00 (1st Right Angle)
- 6:00 (2nd Right Angle)
- 9:00 (3rd Right Angle)
- 12:00 (4th Right Angle)
Conclusion
- In the span of 12 hours, the hour hand of a clock turns through 4 right angles.
- For any segment of time, you can calculate the right angles by dividing the total hours by 3.
By understanding these principles, you can easily find the number of right angles turned by the hour hand for any given time interval.