Q8. The sports car is traveling along a 30° banked road having a radius of curvature of p = 400 ft. If the coefficient of static friction between the tires and the road is μs = 0.19, determine the maximum safe speed so no slipping occurs. Neglect the size of the car. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 32.2 ft/s².

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:**

Q8. The sports car is traveling along a 30° banked road having a radius of curvature of \( \rho = 400 \, \text{ft} \). If the coefficient of static friction between the tires and the road is \( \mu_s = 0.19 \), determine the **maximum** safe speed so no slipping occurs. Neglect the size of the car. Please pay attention: **the numbers may change** since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take \( g = 32.2 \, \text{ft/s}^2 \).

**Diagram Explanation:**

The diagram shows a car on a road that is banked at an angle \( \theta = 30^\circ \). The path of the car follows a circular arc with a radius of \( \rho = 400 \, \text{ft} \). The car must maintain a safe speed to avoid slipping, taking into consideration the angle, radius, gravitational acceleration, and friction coefficient.

**Answer Section:**

Your Answer:  
\[ \boxed{ \phantom{99.99} } \]  
\[ \text{Answer \hspace{30pt} units} \]
Transcribed Image Text:**Problem Statement:** Q8. The sports car is traveling along a 30° banked road having a radius of curvature of \( \rho = 400 \, \text{ft} \). If the coefficient of static friction between the tires and the road is \( \mu_s = 0.19 \), determine the **maximum** safe speed so no slipping occurs. Neglect the size of the car. Please pay attention: **the numbers may change** since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take \( g = 32.2 \, \text{ft/s}^2 \). **Diagram Explanation:** The diagram shows a car on a road that is banked at an angle \( \theta = 30^\circ \). The path of the car follows a circular arc with a radius of \( \rho = 400 \, \text{ft} \). The car must maintain a safe speed to avoid slipping, taking into consideration the angle, radius, gravitational acceleration, and friction coefficient. **Answer Section:** Your Answer: \[ \boxed{ \phantom{99.99} } \] \[ \text{Answer \hspace{30pt} units} \]
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