Estimate the radial acceleration (m/s2) of the toe at the end of the horizontally extended leg of a ballerina doing a pirouette. Assume the length of ballerina's leg to be 0.80 m. Suppose that she completes a full turn in 1.0 s. Determine its acceleration during this launch

The acceleration during this launch is approximately 31.583 meters per square second.

Explanation:

Let suppose that the ballerina rotates at constant rate. The radial acceleration of the toe at the end of the horizontally extended leg of the ballerina doing a pirouette (), measured in meters per square second, is determined by the following formula:

(1)

Where:

- Radius, measured in meters.

- Period, measured in seconds.

If we know that and , then the radial acceleration of the ballerina is:

The acceleration during this launch is approximately 31.583 meters per square second.