bestmy
Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Dhabitah, a 60 kg diver is positioned so that her radius of gyration is 0.5 m as she leaves the board with an angular velocity of 4 rads-1. Compute Dhabitah’s angular velocity when she assumes a tuck position, altering her radius of gyration to 0.25 m. Explain how the diver applied the conservation of angular momentum to perform a somersault.​

Sagot :

onyebuchinnaji

The final angular velocity of Dhabitah is 16 rad/s.

Conservation of angular momentum

The principle of conservation of angular momentum states the total angular momentum of an isolated system is constant.

The final angular velocity  

The final angular velocity of Dhabitah is calculated by applying the principle of conservation of angular momentum as follows;

[tex]I_1 \omega _1 = I_2 \omega _2\\\\(Mr_1^2 )\omega _1 = (Mr_2^2) \omega_2\\\\r_1^2 \omega_1 = r_2^2 \omega_2 \\\\\omega _2 = \frac{r_1^2\omega _1}{r_2^2}\\\\ \omega _2 = \frac{0.5^2 \times 4}{0.25^2} \\\\\omega_2 = 16 \ rad/s[/tex]

The diver applied the conservation of angular momentum to perform the somersault because he understood that the initial angular momentum is equal to final angular momentum.

Learn more about conservation of angular momentum here: https://brainly.com/question/7538238

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.