A cyclist completes 3 revolution of a circular path in 9 minutes with the speed of 10 m/s, then what is the radius of circular path?
Answers
Given,
Number of revolution = 3
Total time = 9 minutes
Speed of the cyclist = 10 m/s
To find,
The radius of the circular path.
Solution,
Let us, first convert the total time in seconds unit.
Total time = 9 mins = 540 sec
[Term of unit conversion = 1 min = 60 sec]
Total distance of the journey = Total time × Speed = 540 × 10 = 5400 metres
Now, according to the question,
3 revolution = 5400 metres
1 revolution = 1800 metres
1 revolution = circumference of the circular path = 1800 metres ....(1)
Let, the radius of the circular path = x metres
[ Assume x as a variable to do the further mathematical calculations.]
Circumference = 2πx metres .....(2)
By, comparing 1 and 2 we get that,
2πx = 1800
πx = 900
x = 900 × 7/22
x = 286.36
Hence, the radius of the circular path is approximately 286.36 metres.
Answer:
286.36 metres
Step-by-step explanation:
Given,
Number of revolution = 3
Total time = 9 minutes
Speed of the cyclist = 10 m/s
To find,
The radius of the circular path.
Solution,
Let us, first convert the total time in seconds unit.
Total time = 9 mins = 540 sec
[Term of unit conversion = 1 min = 60 sec]
Total distance of the journey = Total time × Speed = 540 × 10 = 5400 metres
Now, according to the question,
3 revolution = 5400 metres
1 revolution = 1800 metres
1 revolution = circumference of the circular path = 1800 metres ....(1)
Let, the radius of the circular path = x metres
[ Assume x as a variable to do the further mathematical calculations.]
Circumference = 2πx metres .....(2)
By, comparing 1 and 2 we get that,
2πx = 1800
πx = 900
x = 900 × 7/22
x = 286.36
Hence, the radius of the circular path is approximately 286.36 metres.