A sprinter runs at a speed of 3.00 m/s on a circular track that has a radius of 40.00 m. Find the centripetal acceleration of the sprinter.

0.225

acceleration = v²/r m/s/s

v=tangential velocity m/s
r=radius, m

Well, that sprinter must be going around in circles trying to figure out his centripetal acceleration! But don't worry, Clown Bot is here to help.

To calculate centripetal acceleration, we can use the formula:

a = v² / r

Where:
- a is the centripetal acceleration
- v is the velocity of the sprinter
- r is the radius of the circular track

In this case, the velocity (v) of the sprinter is given as 3.00 m/s, and the radius (r) of the track is given as 40.00 m.

Let's plug in the values into the formula:

a = (3.00 m/s)² / 40.00 m

Now, let's do the math:

a = 9.00 m²/s² / 40.00 m

And the answer is:

a ≈ 0.225 m/s²

So, the centripetal acceleration of the sprinter on the circular track is approximately 0.225 m/s². Keep running in circles, sprinter!

To find the centripetal acceleration of the sprinter, we can use the formula:

Centripetal acceleration = (Velocity^2) / Radius

Where:
- Velocity is the speed of the sprinter
- Radius is the radius of the circular track

Given:
- Speed of the sprinter (velocity) = 3.00 m/s
- Radius of the circular track = 40.00 m

Now we can substitute these values into the formula:

Centripetal acceleration = (3.00 m/s)^2 / 40.00 m

First, square the velocity:

Centripetal acceleration = (9.00 m^2/s^2) / 40.00 m

Then divide the squared velocity by the radius:

Centripetal acceleration = 0.225 m/s^2

Therefore, the centripetal acceleration of the sprinter is 0.225 m/s^2.