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What fraction of a clockwise revolution does the hour hand of a clock turn through, when it goes from 7 to 10?
- a)1/2
- b)1/4
- c)1/3
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
What fraction of a clockwise revolution does the hour hand of a clock ...
Cause see, 7 to 10 will be 1/4 as 7 to 8 is 1/2 so count further , thanks .
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What fraction of a clockwise revolution does the hour hand of a clock ...
Answer:
To find the fraction of a clockwise revolution that the hour hand of a clock turns through when it goes from 7 to 10, we need to determine the angle covered by the hour hand and express it as a fraction of a full revolution (360 degrees).
1. Calculate the angle covered by the hour hand in three hours:
- The hour hand moves 360 degrees in 12 hours since a clock completes one full revolution in 12 hours.
- Therefore, in one hour, the hour hand moves 360/12 = 30 degrees.
- In three hours, the hour hand would move 30 x 3 = 90 degrees.
2. Calculate the angle covered by a full revolution:
- A full revolution is 360 degrees.
3. Express the angle covered by the hour hand as a fraction of a full revolution:
- Fraction = Angle covered by the hour hand / Angle of a full revolution
- Fraction = 90/360
- Fraction = 1/4
Therefore, the fraction of a clockwise revolution that the hour hand of a clock turns through when it goes from 7 to 10 is 1/4, which corresponds to option 'B'.
To find the fraction of a clockwise revolution that the hour hand of a clock turns through when it goes from 7 to 10, we need to determine the angle covered by the hour hand and express it as a fraction of a full revolution (360 degrees).
1. Calculate the angle covered by the hour hand in three hours:
- The hour hand moves 360 degrees in 12 hours since a clock completes one full revolution in 12 hours.
- Therefore, in one hour, the hour hand moves 360/12 = 30 degrees.
- In three hours, the hour hand would move 30 x 3 = 90 degrees.
2. Calculate the angle covered by a full revolution:
- A full revolution is 360 degrees.
3. Express the angle covered by the hour hand as a fraction of a full revolution:
- Fraction = Angle covered by the hour hand / Angle of a full revolution
- Fraction = 90/360
- Fraction = 1/4
Therefore, the fraction of a clockwise revolution that the hour hand of a clock turns through when it goes from 7 to 10 is 1/4, which corresponds to option 'B'.
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