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The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day is
- a)24 m
- b)26 m
- c)22 m
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The minute hand and the hour hand of a clock are 14 cm and 7 cm long r...
Distance Travel by hour hand in one day is = 2 x 2 πr
= 2 x 2 x (22/7) x 7 = 88 cm
Distance Travel by minute hand in one day is = 2 πr x 24
= 2 x (22/7) x 14 x 24 = 2112 cm
Total distance covered by their tips is = 2112 + 88 = 2200 cm = 22m
= 2 x 2 x (22/7) x 7 = 88 cm
Distance Travel by minute hand in one day is = 2 πr x 24
= 2 x (22/7) x 14 x 24 = 2112 cm
Total distance covered by their tips is = 2112 + 88 = 2200 cm = 22m
Most Upvoted Answer
The minute hand and the hour hand of a clock are 14 cm and 7 cm long r...
Total Distance Covered by Clock Hands in One Day
To find the total distance covered by the tips of the clock hands, we need to calculate the distance traced by each hand separately and then sum them up.
1. Distance Covered by the Minute Hand
- The length of the minute hand is 14 cm.
- The minute hand completes one full revolution (360 degrees) every hour.
- In one day (24 hours), the minute hand makes 24 revolutions.
Calculating the Circumference:
- Circumference = 2 * π * radius
- For the minute hand:
- Circumference = 2 * π * 14 cm ≈ 87.96 cm
- Total distance in one day = 24 revolutions * 87.96 cm ≈ 2103.04 cm
2. Distance Covered by the Hour Hand
- The length of the hour hand is 7 cm.
- The hour hand completes one full revolution every 12 hours.
- In one day, the hour hand makes 2 revolutions.
Calculating the Circumference:
- For the hour hand:
- Circumference = 2 * π * 7 cm ≈ 43.98 cm
- Total distance in one day = 2 revolutions * 43.98 cm ≈ 87.96 cm
3. Total Distance Covered
- Total distance = Distance by minute hand + Distance by hour hand
- Total distance = 2103.04 cm + 87.96 cm ≈ 2191 cm
Converting to Meters:
- 2191 cm = 21.91 m
Thus, the closest option to the total distance covered by the tips of the clock hands in one day is 22 m.
Correct Answer: Option C (22 m)
To find the total distance covered by the tips of the clock hands, we need to calculate the distance traced by each hand separately and then sum them up.
1. Distance Covered by the Minute Hand
- The length of the minute hand is 14 cm.
- The minute hand completes one full revolution (360 degrees) every hour.
- In one day (24 hours), the minute hand makes 24 revolutions.
Calculating the Circumference:
- Circumference = 2 * π * radius
- For the minute hand:
- Circumference = 2 * π * 14 cm ≈ 87.96 cm
- Total distance in one day = 24 revolutions * 87.96 cm ≈ 2103.04 cm
2. Distance Covered by the Hour Hand
- The length of the hour hand is 7 cm.
- The hour hand completes one full revolution every 12 hours.
- In one day, the hour hand makes 2 revolutions.
Calculating the Circumference:
- For the hour hand:
- Circumference = 2 * π * 7 cm ≈ 43.98 cm
- Total distance in one day = 2 revolutions * 43.98 cm ≈ 87.96 cm
3. Total Distance Covered
- Total distance = Distance by minute hand + Distance by hour hand
- Total distance = 2103.04 cm + 87.96 cm ≈ 2191 cm
Converting to Meters:
- 2191 cm = 21.91 m
Thus, the closest option to the total distance covered by the tips of the clock hands in one day is 22 m.
Correct Answer: Option C (22 m)
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The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day isa)24 mb)26 mc)22 md)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
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The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day isa)24 mb)26 mc)22 md)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day isa)24 mb)26 mc)22 md)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The minute hand and the hour hand of a clock are 14 cm and 7 cm long respectively. The total distance covered by their tips in one day isa)24 mb)26 mc)22 md)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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