A body describing circular path at uniform speed of 2 m/s takes 33 seconds to complete 3.5 revolutions. Then what wil be the radius of the circular path ?
2m/s * 33s/3.5rev = 18.857 m/rev =
Circumference(C).
C = pi*2r = 18.857 m.
6.28r = 18.857
r = 3 m.
To find the radius of the circular path, we need to use the formula for the circumference of a circle.
The formula for the circumference is C = 2πr, where C represents the circumference and r represents the radius.
First, we need to find the time taken by the body to complete one revolution. Since the body completes 3.5 revolutions in 33 seconds, the time taken to complete one revolution is 33 seconds divided by 3.5, which is approximately 9.43 seconds.
Now, we can use the formula v = C/t to find the circumference of the circle. Here, v represents the velocity (uniform speed) and t represents the time taken for one revolution.
Substituting the given values, we have:
2 m/s = C / 9.43 seconds
Cross-multiplying, we get:
C = 2 m/s * 9.43 seconds = 18.86 meters
Now, we can use the formula for the circumference of a circle (C = 2πr) to find the radius.
Substituting the value of C into the formula, we have:
18.86 meters = 2πr
Dividing both sides by 2π, we get:
r = 18.86 meters / (2π) = 3 meters (approximately)
Therefore, the radius of the circular path is approximately 3 meters.