Twin skaters approach one another as shown in the figure below and lock hands. (0) (a) Calculate their final angular velocity, given each had an initial speed of 2.90 m/s relative to the ice. Each has a mass of 75.0 kg, and each has a center of mass located 0.820 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. rad/s

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**Description:**

**Title: Angular Velocity Calculation for Skaters**

**Figure Explanation:**
The diagram illustrates two twin skaters approaching each other on an ice surface. They are shown locking hands, creating a rotational motion. Each skater is depicted moving toward each other with equal speed before linking up, resulting in a combined rotational motion indicated by a curved arrow marked with ω (angular velocity).

**Problem Statement:**

(a) Calculate their final angular velocity, given each had an initial speed of 2.90 m/s relative to the ice. Each has a mass of 75.0 kg, and each has a center of mass located 0.820 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius.

**Input Box:**
To enter your answer, use the input field marked "Enter a number." The unit for angular velocity is radians per second (rad/s).

**Note:** This is a classical mechanics problem involving the conservation of angular momentum.
Transcribed Image Text:**Description:** **Title: Angular Velocity Calculation for Skaters** **Figure Explanation:** The diagram illustrates two twin skaters approaching each other on an ice surface. They are shown locking hands, creating a rotational motion. Each skater is depicted moving toward each other with equal speed before linking up, resulting in a combined rotational motion indicated by a curved arrow marked with ω (angular velocity). **Problem Statement:** (a) Calculate their final angular velocity, given each had an initial speed of 2.90 m/s relative to the ice. Each has a mass of 75.0 kg, and each has a center of mass located 0.820 m from their locked hands. You may approximate their moments of inertia to be that of point masses at this radius. **Input Box:** To enter your answer, use the input field marked "Enter a number." The unit for angular velocity is radians per second (rad/s). **Note:** This is a classical mechanics problem involving the conservation of angular momentum.
Expert Solution
Step 1

Given: initial speed of the skaters v = 2.90 m/s

           mass of each skater m = 75 kg

           distance of the center of mass from the axis of rotation (R) = 0.82 m

 

To Find: The final angular velocity 

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