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What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7?
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What fraction of a clockwise Revolution does the our hand of a clock t...
Understanding Clock Hand Movement
To determine the fraction of a clockwise revolution the hour hand of a clock turns through when it moves from the time "2:52" to "10:35", we first need to analyze the positions of the hour hand at both times.
Position at 2:52
- At 2:52, the hour hand is slightly past the 2.
- Each hour represents 30 degrees (360 degrees/12 hours).
- The hour hand moves 0.5 degrees per minute (30 degrees/60 minutes).
- Therefore, at 2:52:
- Degrees from 12:00 to 2:00 = 2 * 30 = 60 degrees
- Additional degrees for 52 minutes = 52 * 0.5 = 26 degrees
- Total degrees at 2:52 = 60 + 26 = 86 degrees
Position at 10:35
- At 10:35, the hour hand is between the 10 and 11.
- For 10:00, the degrees are:
- Degrees from 12:00 to 10:00 = 10 * 30 = 300 degrees
- Additional degrees for 35 minutes = 35 * 0.5 = 17.5 degrees
- Total degrees at 10:35 = 300 + 17.5 = 317.5 degrees
Calculating the Movement
- The total degrees moved from 2:52 to 10:35:
- 317.5 degrees - 86 degrees = 231.5 degrees
Fraction of a Revolution
- A full revolution is 360 degrees.
- The fraction of the revolution is calculated as:
- 231.5 degrees / 360 degrees
Final Result
- Thus, the fraction of a clockwise revolution the hour hand turns through when going from 2:52 to 10:35 is approximately 0.643, or 231.5/360.
To determine the fraction of a clockwise revolution the hour hand of a clock turns through when it moves from the time "2:52" to "10:35", we first need to analyze the positions of the hour hand at both times.
Position at 2:52
- At 2:52, the hour hand is slightly past the 2.
- Each hour represents 30 degrees (360 degrees/12 hours).
- The hour hand moves 0.5 degrees per minute (30 degrees/60 minutes).
- Therefore, at 2:52:
- Degrees from 12:00 to 2:00 = 2 * 30 = 60 degrees
- Additional degrees for 52 minutes = 52 * 0.5 = 26 degrees
- Total degrees at 2:52 = 60 + 26 = 86 degrees
Position at 10:35
- At 10:35, the hour hand is between the 10 and 11.
- For 10:00, the degrees are:
- Degrees from 12:00 to 10:00 = 10 * 30 = 300 degrees
- Additional degrees for 35 minutes = 35 * 0.5 = 17.5 degrees
- Total degrees at 10:35 = 300 + 17.5 = 317.5 degrees
Calculating the Movement
- The total degrees moved from 2:52 to 10:35:
- 317.5 degrees - 86 degrees = 231.5 degrees
Fraction of a Revolution
- A full revolution is 360 degrees.
- The fraction of the revolution is calculated as:
- 231.5 degrees / 360 degrees
Final Result
- Thus, the fraction of a clockwise revolution the hour hand turns through when going from 2:52 to 10:35 is approximately 0.643, or 231.5/360.
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What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7?
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What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7?.
What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What fraction of a clockwise Revolution does the our hand of a clock turn through when it goes from first 2to 52nd 4 to 10 3rd 5 to 2 4 7 2 7?.
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