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A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/?
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A circular cycle track has a circumference of 314m with AB as one of i...
Given, a circular track of circumference 314 m.
This question is part of UPSC exam. View all Class 9 courses
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A circular cycle track has a circumference of 314m with AB as one of i...
Explanation:
To solve this problem, we can use the formula for circumference of a circle:
C = πd
where C is the circumference and d is the diameter. In this case, the circumference is given as 314m, so we can substitute that value into the formula:
314 = πd
Solving for d, we divide both sides of the equation by π:
d = 314/π
Calculating the diameter:
The diameter of the circular cycle track is approximately 100m (rounded to the nearest meter) using the value of π as 3.14.
Calculating the time taken:
Given that the cyclist travels from point A to point B along the circular path with a constant velocity of magnitude 15.7 m/s, we can use the formula for velocity:
v = d/t
where v is the velocity, d is the distance, and t is the time taken. In this case, we are given the velocity and the distance (which is the circumference of the cycle track). We can rearrange the formula to solve for t:
t = d/v
Plugging in the values, we get:
t = 314/15.7 = 20s
Therefore, it takes the cyclist 20 seconds to travel from point A to point B.
Summary:
- The diameter of the circular cycle track is approximately 100m.
- The cyclist takes 20 seconds to travel from point A to point B along the circular path with a constant velocity of magnitude 15.7 m/s.
To solve this problem, we can use the formula for circumference of a circle:
C = πd
where C is the circumference and d is the diameter. In this case, the circumference is given as 314m, so we can substitute that value into the formula:
314 = πd
Solving for d, we divide both sides of the equation by π:
d = 314/π
Calculating the diameter:
The diameter of the circular cycle track is approximately 100m (rounded to the nearest meter) using the value of π as 3.14.
Calculating the time taken:
Given that the cyclist travels from point A to point B along the circular path with a constant velocity of magnitude 15.7 m/s, we can use the formula for velocity:
v = d/t
where v is the velocity, d is the distance, and t is the time taken. In this case, we are given the velocity and the distance (which is the circumference of the cycle track). We can rearrange the formula to solve for t:
t = d/v
Plugging in the values, we get:
t = 314/15.7 = 20s
Therefore, it takes the cyclist 20 seconds to travel from point A to point B.
Summary:
- The diameter of the circular cycle track is approximately 100m.
- The cyclist takes 20 seconds to travel from point A to point B along the circular path with a constant velocity of magnitude 15.7 m/s.
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A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/?
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A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/?.
A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular cycle track has a circumference of 314m with AB as one of it diameter. A cyclist travels from A to B along the circular path with a velocity of constant magnitude 15.7m/?.
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