A runner moving at a speed of 7.7 m/s rounds a bend with a radius of 21 m. What is the centripetal acceleration of the runner?
My teacher doesn't explain anything very well and I don't understand how to figure it out.
Use the formula for centripetal acceleration.
a = v²/r
Friction exerts the force or power.
To find the centripetal acceleration of the runner, we can use the formula:
centripetal acceleration (a) = (velocity (v))^2 / radius (r)
In this case, the velocity (v) of the runner is given as 7.7 m/s, and the radius (r) of the bend is given as 21 m.
Substitute these values into the formula:
a = (7.7 m/s)^2 / 21 m
Now, let's calculate it step by step:
a = (59.29 m^2/s^2) / 21 m
a ≈ 2.82 m/s^2
Therefore, the centripetal acceleration of the runner is approximately 2.82 m/s^2.