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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?
Most Upvoted Answer
What fraction of a clockwise revolution does the hour hand of a clock ...
Answer:
To find the fraction of a clockwise revolution 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 during this time period.
Determining the Angle Covered:
- A clock is divided into 12 equal sections, representing the 12 hours on a clock face.
- The hour hand moves through each section in one hour.
- Thus, each section represents an angle of 360 degrees divided by 12, which is 30 degrees.
- From 7 to 10, the hour hand moves through 3 sections.
Calculating the Angle:
- The angle covered by the hour hand can be calculated by multiplying the number of sections it moves through by the angle of each section.
- In this case, the angle covered is 3 sections * 30 degrees per section = 90 degrees.
Converting the Angle to a Fraction of a Revolution:
- A full revolution of a clock is 360 degrees.
- To find the fraction of a revolution covered by the hour hand, we divide the angle covered by 360 degrees.
- In this case, the fraction is 90 degrees / 360 degrees = 1/4.
Conclusion:
Therefore, the fraction of a clockwise revolution that the hour hand turns through when it goes from 7 to 10 is 1/4, which is option B.
To find the fraction of a clockwise revolution 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 during this time period.
Determining the Angle Covered:
- A clock is divided into 12 equal sections, representing the 12 hours on a clock face.
- The hour hand moves through each section in one hour.
- Thus, each section represents an angle of 360 degrees divided by 12, which is 30 degrees.
- From 7 to 10, the hour hand moves through 3 sections.
Calculating the Angle:
- The angle covered by the hour hand can be calculated by multiplying the number of sections it moves through by the angle of each section.
- In this case, the angle covered is 3 sections * 30 degrees per section = 90 degrees.
Converting the Angle to a Fraction of a Revolution:
- A full revolution of a clock is 360 degrees.
- To find the fraction of a revolution covered by the hour hand, we divide the angle covered by 360 degrees.
- In this case, the fraction is 90 degrees / 360 degrees = 1/4.
Conclusion:
Therefore, the fraction of a clockwise revolution that the hour hand turns through when it goes from 7 to 10 is 1/4, which is option B.
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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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