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An athlete completes 4 laps around a track with a radius of 25 meters in 12 minutes (720 seconds). What is the magnitude of the athlete's tangential velocity?​

Respuesta :

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.

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