Answer:
v = 0.872 m/s
Explanation:
Given that,
The radius of a track, r = 25 m
An athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes (720 seconds).
We need to find the magnitude of the athlete's tangential velocity. It is given by :
[tex]v=\dfrac{2\pi r}{t}[/tex]
For 4 laps,
[tex]v=4\dfrac{2\pi r}{t}\\\\v=4\times \dfrac{2\pi \times 25}{720}\\\\v=0.872\ m/s[/tex]
So, the tangential velocity of the athlete is 0.872 m/s.