Immediately after leaving the platform, the diver's fully- extended 80-kg body has a rotational speed of 0.3 rev/s about an axis normal to the plane shown. Find the angular velocity N later in the dive when the diver has assumed the tuck position. Note the diver's body in each configuration and make well-reasoned approximations of moment of inertia for each. State them. 2 m 0.3 rev/s N 0.7 m

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem Statement:**

Immediately after leaving the platform, the diver's fully-extended 80-kg body has a rotational speed of 0.3 rev/s about an axis normal to the plane shown. Find the angular velocity \( N \) later in the dive when the diver has assumed the tuck position. Note the diver’s body in each configuration and make well-reasoned approximations of moment of inertia for each. State them.

**Diagram Explanation:**

The diagram shows two positions of the diver:
1. **Initial Position:** The diver leaves the platform in a fully-extended position with a rotational speed of 0.3 rev/s. The diver is depicted as being 2 meters long.
2. **Tuck Position:** Later in the dive, the diver pulls into a tuck position with arms and legs tucked, resulting in a reduced rotational radius of 0.7 meters.

The diagram also illustrates the path of the dive, which is a curved trajectory transitioning from the extended to the tuck position.

**Objective:**

- Calculate the angular velocity \( N \) when the diver is in the tuck position.
- Make approximations of the diver's moment of inertia for both extended and tuck positions and state them.
Transcribed Image Text:**Problem Statement:** Immediately after leaving the platform, the diver's fully-extended 80-kg body has a rotational speed of 0.3 rev/s about an axis normal to the plane shown. Find the angular velocity \( N \) later in the dive when the diver has assumed the tuck position. Note the diver’s body in each configuration and make well-reasoned approximations of moment of inertia for each. State them. **Diagram Explanation:** The diagram shows two positions of the diver: 1. **Initial Position:** The diver leaves the platform in a fully-extended position with a rotational speed of 0.3 rev/s. The diver is depicted as being 2 meters long. 2. **Tuck Position:** Later in the dive, the diver pulls into a tuck position with arms and legs tucked, resulting in a reduced rotational radius of 0.7 meters. The diagram also illustrates the path of the dive, which is a curved trajectory transitioning from the extended to the tuck position. **Objective:** - Calculate the angular velocity \( N \) when the diver is in the tuck position. - Make approximations of the diver's moment of inertia for both extended and tuck positions and state them.
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