A device for acclimating military pilots to the high accelerations they must experience consists of a horizontal beam that rotates horizontally about one end while the pilot is seated at the other end. In order to achieve a radial acceleration of 29.9 m/s2 with a beam of length 5.33 m , what rotation frequency is required

Rotation frequency is 0.377 hertz.

Explanation:

After a careful reading of statement, we need to apply the concept of radial acceleration due to uniform circular motion, whose formula is:

(Eq. 1)

Where:

- Radial acceleration, measured in meters per square second.

- Angular velocity, measured in radians per second.

- Length of the beam, measured in meters.

Now we clear the angular velocity within:

If and , the angular velocity is:

The frequency is the number of revolutions done by device per second and can be found by using this expression:

(Eq. 2)

Where is the frequency, measured in hertz.

If we know that , then rotation frequency is:

Rotation frequency is 0.377 hertz.