11. The largest helicopter ever built in the United States was the Sikorski CH-53E "Super Stallion". The four blades of its main rotors each has a radius of 24.1 m. If the rotors are turning at 50 rpm, what is the velocity at the tip of the blade? What is the acceleration? Give your answer for the acceleration both in m/s² and as a multiple of g.

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11th Edition
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Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem 11: Velocity and Acceleration of Helicopter Rotor Blades**

The largest helicopter ever built in the United States was the Sikorski CH-53E "Super Stallion". The four blades of its main rotors each have a radius of 24.1 meters. If the rotors are turning at 50 revolutions per minute (rpm), calculate the velocity at the tip of the blade and the acceleration. Present your answer for the acceleration in both meters per second squared (m/s²) and as a multiple of the acceleration due to gravity (g).

**Given:**
- Radius of the rotor blades: \( r = 24.1 \, \text{m} \)
- Rotational speed: \( \omega = 50 \, \text{rpm} \)

**To Find:**
1. Velocity at the tip of the blade (v)
2. Acceleration at the tip of the blade (a)
   - In m/s²
   - As a multiple of \( g \)  

**Explanation of Diagrams or Graphs:**
There are no diagrams or graphs accompanying this problem statement.
Transcribed Image Text:**Problem 11: Velocity and Acceleration of Helicopter Rotor Blades** The largest helicopter ever built in the United States was the Sikorski CH-53E "Super Stallion". The four blades of its main rotors each have a radius of 24.1 meters. If the rotors are turning at 50 revolutions per minute (rpm), calculate the velocity at the tip of the blade and the acceleration. Present your answer for the acceleration in both meters per second squared (m/s²) and as a multiple of the acceleration due to gravity (g). **Given:** - Radius of the rotor blades: \( r = 24.1 \, \text{m} \) - Rotational speed: \( \omega = 50 \, \text{rpm} \) **To Find:** 1. Velocity at the tip of the blade (v) 2. Acceleration at the tip of the blade (a) - In m/s² - As a multiple of \( g \) **Explanation of Diagrams or Graphs:** There are no diagrams or graphs accompanying this problem statement.
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