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

Answer:

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

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

         $w = \frac{\theta }{t}$

substituting values

         $w = \frac{9.426}{1.6}$

          $w = 5.89 \ rad/s$