Question

In a high school swim competition, a student takes 1.6 s to complete 1.5 somersaults. Determine the average angular speed of the diver, in rad/s, during this time interval.

Answer 1

The angular speed is
`w = 5.89 \ rad/s`

Step-by-step explanation:

From the question we are told that

The time taken is
`t = 1.6 s`

The number of somersaults is n = 1.5

The total angular displacement during the somersault is mathematically represented as

`\theta = n * 2 * \pi`

substituting values

`\theta = 1.5 * 2 * 3.142`

`\theta = 9.426 \ rad`

The angular speed is mathematically represented as

`w = (\theta )/(t)`

substituting values

`w = (9.426)/(1.6)`

`w = 5.89 \ rad/s`