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A cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed?
Verified Answer
A cyclist goes around a circular track once every 2 minutes if the rad...
Radius , r = 105
time t = 2min
= 120 second
we know also
circumference or distance of circle = 2πr
⇒2x22/7x105
⇒ 660 m
∴ speed = distance / time
⇒660 m/ 120
⇒5.5m/s
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A cyclist goes around a circular track once every 2 minutes if the rad...
Solution:
To calculate the speed of the cyclist, we need to determine the distance covered by the cyclist in a given time period. In this case, the cyclist completes one lap around the circular track in 2 minutes.
Step 1: Calculate the circumference of the circular track.
The circumference of a circle can be calculated using the formula: C = 2πr, where C is the circumference and r is the radius.
Given the radius of the circular track is 105 meters, we can substitute the value into the formula to find the circumference:
C = 2π(105) = 2π(105) ≈ 660 meters
Step 2: Calculate the distance covered by the cyclist in 2 minutes.
Since the cyclist completes one lap around the circular track in 2 minutes, the distance covered by the cyclist is equal to the circumference of the track.
Therefore, the distance covered by the cyclist in 2 minutes is 660 meters.
Step 3: Calculate the speed of the cyclist.
Speed is defined as the distance traveled per unit of time. In this case, the distance covered by the cyclist in 2 minutes is 660 meters.
To calculate the speed, we divide the distance by the time:
Speed = Distance/Time
Speed = 660 meters / 2 minutes
Speed ≈ 330 meters/minute
Therefore, the speed of the cyclist is approximately 330 meters per minute.
Summary:
- The cyclist completes one lap around the circular track in 2 minutes.
- The circumference of the circular track with a radius of 105 meters is approximately 660 meters.
- The distance covered by the cyclist in 2 minutes is equal to the circumference of the track, which is 660 meters.
- Therefore, the speed of the cyclist is approximately 330 meters per minute.
To calculate the speed of the cyclist, we need to determine the distance covered by the cyclist in a given time period. In this case, the cyclist completes one lap around the circular track in 2 minutes.
Step 1: Calculate the circumference of the circular track.
The circumference of a circle can be calculated using the formula: C = 2πr, where C is the circumference and r is the radius.
Given the radius of the circular track is 105 meters, we can substitute the value into the formula to find the circumference:
C = 2π(105) = 2π(105) ≈ 660 meters
Step 2: Calculate the distance covered by the cyclist in 2 minutes.
Since the cyclist completes one lap around the circular track in 2 minutes, the distance covered by the cyclist is equal to the circumference of the track.
Therefore, the distance covered by the cyclist in 2 minutes is 660 meters.
Step 3: Calculate the speed of the cyclist.
Speed is defined as the distance traveled per unit of time. In this case, the distance covered by the cyclist in 2 minutes is 660 meters.
To calculate the speed, we divide the distance by the time:
Speed = Distance/Time
Speed = 660 meters / 2 minutes
Speed ≈ 330 meters/minute
Therefore, the speed of the cyclist is approximately 330 meters per minute.
Summary:
- The cyclist completes one lap around the circular track in 2 minutes.
- The circumference of the circular track with a radius of 105 meters is approximately 660 meters.
- The distance covered by the cyclist in 2 minutes is equal to the circumference of the track, which is 660 meters.
- Therefore, the speed of the cyclist is approximately 330 meters per minute.
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A cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed?
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A cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed? 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 cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed?.
A cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed? 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 cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist goes around a circular track once every 2 minutes if the radius of a circular track is 105 M calculate his speed?.
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