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A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel?
- a)70 cm
- b)135 cm
- c)17.5 cm
- d)35 cm
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A bicycle wheel makes 5000 revolutions in moving 11 km. What is the ra...
Let the radius of the wheel be = p
Then 5000 × 2pr = 1100000 cm fi r = 35 cm
Then 5000 × 2pr = 1100000 cm fi r = 35 cm
Most Upvoted Answer
A bicycle wheel makes 5000 revolutions in moving 11 km. What is the ra...
Understanding the Problem
To find the radius of the bicycle wheel, we need to relate the distance traveled to the number of revolutions made and the circumference of the wheel.
Key Facts:
- Distance traveled = 11 km = 11,000 m (since 1 km = 1000 m)
- Number of revolutions = 5000
Finding the Circumference:
The distance traveled in terms of the circumference can be expressed as:
Distance = Number of Revolutions × Circumference
Using this, we can calculate the circumference of the wheel:
Circumference = Distance / Number of Revolutions
Substituting the known values:
Circumference = 11,000 m / 5000 = 2.2 m
Calculating the Radius:
The circumference \( C \) of a circle is given by the formula:
C = 2πr
Where \( r \) is the radius. We can rearrange this formula to find the radius:
r = C / (2π)
Substituting the circumference we found:
r = 2.2 m / (2π)
Now we convert meters to centimeters (1 m = 100 cm):
r = (2.2 × 100 cm) / (2π) = 220 cm / (2π)
Using the approximate value of π (3.14):
r ≈ 220 cm / 6.28 ≈ 35 cm
Conclusion:
Thus, the radius of the wheel is approximately 35 cm, which confirms that the correct answer is option D.
To find the radius of the bicycle wheel, we need to relate the distance traveled to the number of revolutions made and the circumference of the wheel.
Key Facts:
- Distance traveled = 11 km = 11,000 m (since 1 km = 1000 m)
- Number of revolutions = 5000
Finding the Circumference:
The distance traveled in terms of the circumference can be expressed as:
Distance = Number of Revolutions × Circumference
Using this, we can calculate the circumference of the wheel:
Circumference = Distance / Number of Revolutions
Substituting the known values:
Circumference = 11,000 m / 5000 = 2.2 m
Calculating the Radius:
The circumference \( C \) of a circle is given by the formula:
C = 2πr
Where \( r \) is the radius. We can rearrange this formula to find the radius:
r = C / (2π)
Substituting the circumference we found:
r = 2.2 m / (2π)
Now we convert meters to centimeters (1 m = 100 cm):
r = (2.2 × 100 cm) / (2π) = 220 cm / (2π)
Using the approximate value of π (3.14):
r ≈ 220 cm / 6.28 ≈ 35 cm
Conclusion:
Thus, the radius of the wheel is approximately 35 cm, which confirms that the correct answer is option D.
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A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel?a)70 cmb)135 cmc)17.5 cmd)35 cmCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel?a)70 cmb)135 cmc)17.5 cmd)35 cmCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A bicycle wheel makes 5000 revolutions in moving 11 km. What is the radius of the wheel?a)70 cmb)135 cmc)17.5 cmd)35 cmCorrect answer is option 'D'. Can you explain this answer?.
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