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A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at a uniform rate to reach 90 km/h in 19 seconds. Determine the magnitude a of the total acceleration of the car 15 seconds after the start. 95 m * Incorrect Calculate the tangential component at of the acceleration. Answer: at = i 4.3064 m/s² Part 1

A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at a uniform rate to reach 90 km/h in 19 seconds. Determine the magnitude a of the total acceleration of the car 15 seconds after the start. 95 m * Incorrect Calculate the tangential component at of the acceleration. Answer: at = i 4.3064 m/s² Part 1

Elements Of Electromagnetics
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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### Circular Motion Problem: Total Acceleration Calculation A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at a uniform rate to reach 90 km/h in 19 seconds. Determine the magnitude \( \alpha \) of the total acceleration of the car 15 seconds after the start. **Diagram:** - The diagram depicts a car on a circular track with a radius of 95 meters. There is an arrow showing the direction of velocity \( \mathbf{v} \) at a point on the track, indicating tangential motion along the circumference. **Task:** 1. Calculate the tangential component \( a_t \) of the acceleration. **Attempt:** - The user attempted to calculate the tangential component of the acceleration and entered the value \( a_t = 4.3064 \, \text{m/s}^2 \). **Feedback:** - The answer provided is incorrect. **Part 1:** ```markdown Calculate the tangential component \( a_t \) of the acceleration. Answer: \( a_t = 4.3064 \, \text{m/s}^2 \) ``` Make sure you understand the concepts of both tangential acceleration (rate of change of speed along the curve) and centripetal acceleration (directed towards the center of the circular path), as these will help in solving the problem correctly.
Transcribed Image Text:### Circular Motion Problem: Total Acceleration Calculation A test car starts from rest on a horizontal circular track of 95-m radius and increases its speed at a uniform rate to reach 90 km/h in 19 seconds. Determine the magnitude \( \alpha \) of the total acceleration of the car 15 seconds after the start. **Diagram:** - The diagram depicts a car on a circular track with a radius of 95 meters. There is an arrow showing the direction of velocity \( \mathbf{v} \) at a point on the track, indicating tangential motion along the circumference. **Task:** 1. Calculate the tangential component \( a_t \) of the acceleration. **Attempt:** - The user attempted to calculate the tangential component of the acceleration and entered the value \( a_t = 4.3064 \, \text{m/s}^2 \). **Feedback:** - The answer provided is incorrect. **Part 1:** ```markdown Calculate the tangential component \( a_t \) of the acceleration. Answer: \( a_t = 4.3064 \, \text{m/s}^2 \) ``` Make sure you understand the concepts of both tangential acceleration (rate of change of speed along the curve) and centripetal acceleration (directed towards the center of the circular path), as these will help in solving the problem correctly.
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