A runner is moving at a constant speed of 8.00 m/s around a circular track. If the distance from the runner to the center of the track is 28.2 m, what is the centripetal acceleration of the runner?
acceleration=v^2/r=8^2/28.2 m/s^2
To find the centripetal acceleration of the runner, we need to use the formula for centripetal acceleration:
a = (v^2) / r
Where:
a = centripetal acceleration
v = velocity
r = radius
In this case, the velocity of the runner is given as 8.00 m/s, and the distance from the runner to the center of the track is 28.2 m.
So, substituting the given values into the formula, we have:
a = (8.00^2) / 28.2
Now, let's calculate:
a = 64.00 / 28.2
a ≈ 2.271 m/s^2
Therefore, the centripetal acceleration of the runner is approximately 2.271 m/s^2.