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Howw many rounds clock will rotate from january 6.00 a.mto march 6.00 p.m

To calculate how many rounds the clock's hour hand will rotate from January 6:00 a.m. to March 6:00 p.m., we'll break down the time span and rotations as follows:

1. **Calculate the total time duration:**
   - From January 6:00 a.m. to March 6:00 p.m.
   - January 6:00 a.m. to February 6:00 a.m. = 31 days
   - February 6:00 a.m. to March 6:00 a.m. = 29 days (assuming it's a leap year, otherwise 28 days)
   - March 6:00 a.m. to March 6:00 p.m. = 12 hours

2. **Convert the total time to hours:**
   - January: \(31 \text{ days} \times 24 \text{ hours/day} = 744 \text{ hours}\)
   - February: \(29 \text{ days} \times 24 \text{ hours/day} = 696 \text{ hours}\)
   - March: \(12 \text{ hours}\)

   So, the total time in hours is:
   \[
   744 \text{ hours} + 696 \text{ hours} + 12 \text{ hours} = 1452 \text{ hours}
   \]

3. **Determine how many full rotations the hour hand makes:**
   - The hour hand completes one full rotation every 12 hours.

   So, the number of full rotations is:
   \[
   \frac{1452 \text{ hours}}{12 \text{ hours/rotation}} = 121 \text{ full rotations}
   \]

Thus, the clock's hour hand will rotate **121 times** from January 6:00 a.m. to March 6:00 p.m.

Would you like further details or have any questions? Here are some related questions:

1. How does the calculation change in a non-leap year?
2. How many times does the minute hand rotate during this period?
3. How would the calculation differ if you counted only from January 6:00 p.m.?
4. How many hours are there between January 6:00 a.m. and March 6:00 a.m.?
5. How many degrees does the hour hand rotate in one full day?

**Tip:** Always check whether it's a leap year when dealing with February, as it changes the total duration calculation.

Learn how many times the clock's hour hand rotates from January 6:00 a.m. to March 6:00 p.m. through detailed calculations. Includes conversions of time duration to hours and rotations per hour. Suitable for high school students studying time measurement and arithmetic.

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