## Problem Description:The car A has a forward speed of 18 km/h and is accelerating at 3.5 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate Ω = 3.8 rev/min of the Ferris wheel is constant.## Diagram Explanation:- The diagram shows a Ferris wheel with a radius \( R = 8.7 \, \text{m} \).- B is an observer riding at an angle of 41° on the Ferris wheel.- The Ferris wheel rotates with an angular speed \( Ω = 3.8 \, \text{rev/min} \).- There is an appropriate x-y coordinate system for analysis.- Car A is moving horizontally towards the right with a given velocity and acceleration.## Required:- Determine the relative velocity (\( v_{A/B} \)) of the car A with respect to observer B.- Determine the relative acceleration (\( a_{A/B} \)) of the car A with respect to observer B.## Answers:### Relative Velocity (\( v_{A/B} \)):\[ v_{A/B} = (\_\_\_\_\_) i + (\_\_\_\_\_) j \, \text{m/s} \]### Relative Acceleration (\( a_{A/B} \)):\[ a_{A/B} = (\_\_\_\_\_) i + (\_\_\_\_\_) j \, \text{m/s}^2 \]

The term "relative velocity" is used to describe aircraft travelling through the air, boats moving…

The car A has a forward speed of 18 km/h and is accelerating at 3.5 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate 2 = 3.8 rev/min of the Ferris wheel is constant.

The car A has a forward speed of 18 km/h and is accelerating at 3.5 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate 2 = 3.8 rev/min of the Ferris wheel is constant.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

## Problem Description:

The car A has a forward speed of 18 km/h and is accelerating at 3.5 m/s². Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris wheel. The angular rate Ω = 3.8 rev/min of the Ferris wheel is constant.

## Diagram Explanation:

- The diagram shows a Ferris wheel with a radius \( R = 8.7 \, \text{m} \).
- B is an observer riding at an angle of 41° on the Ferris wheel.
- The Ferris wheel rotates with an angular speed \( Ω = 3.8 \, \text{rev/min} \).
- There is an appropriate x-y coordinate system for analysis.
- Car A is moving horizontally towards the right with a given velocity and acceleration.

## Required:

- Determine the relative velocity (\( v_{A/B} \)) of the car A with respect to observer B.
- Determine the relative acceleration (\( a_{A/B} \)) of the car A with respect to observer B.

## Answers:

### Relative Velocity (\( v_{A/B} \)):

\[ v_{A/B} = (\_\_\_\_\_) i + (\_\_\_\_\_) j \, \text{m/s} \]

### Relative Acceleration (\( a_{A/B} \)):

\[ a_{A/B} = (\_\_\_\_\_) i + (\_\_\_\_\_) j \, \text{m/s}^2 \]

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