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How many degrees will the minute hand rotate when the time changes from 1 42 PM to 2 10 pm?
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How many degrees will the minute hand rotate when the time changes fro...
Understanding the Minute Hand Movement
To calculate the degrees the minute hand rotates between 1:42 PM and 2:10 PM, we need to break down the time interval into manageable parts.
Time Interval Calculation
- Starting Time: 1:42 PM
- Ending Time: 2:10 PM
The total time from 1:42 PM to 2:10 PM can be calculated as follows:
- From 1:42 PM to 2:00 PM = 18 minutes
- From 2:00 PM to 2:10 PM = 10 minutes
Thus, the total time elapsed is:
- Total Minutes: 18 + 10 = 28 minutes
Degrees Rotated by the Minute Hand
The minute hand of a clock rotates a full circle (360 degrees) in 60 minutes. Therefore, we can find the degrees it rotates per minute:
- Degrees per Minute: 360 degrees / 60 minutes = 6 degrees per minute
Now, we will calculate the total degrees rotated in 28 minutes:
- Degrees Rotated: 28 minutes × 6 degrees/minute = 168 degrees
Final Answer
In conclusion, the minute hand rotates a total of 168 degrees when the time changes from 1:42 PM to 2:10 PM.
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How many degrees will the minute hand rotate when the time changes from 1 42 PM to 2 10 pm?
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