determine the minimum safe speed so no slipping occurs.

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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**Question 7:**
The sports car is traveling along a 30° banked road having a radius of curvature of \( \rho = 520 \, \text{ft} \). If the coefficient of static friction between the tires and the road is \( \mu_s = 0.19 \), determine the minimum safe speed so no slipping occurs. Neglect the size of the car. 

**Note:**
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:**
- A diagram of a car is shown traveling on a banked road at an angle of \( \theta = 30^\circ \).
- The road is represented with a curvature radius \( \rho \).
- The car is positioned on the inclined surface.

**Input Field:**
- Your Answer: [Text Box]
- Answer: [Text Box] [units]
Transcribed Image Text:**Question 7:** The sports car is traveling along a 30° banked road having a radius of curvature of \( \rho = 520 \, \text{ft} \). If the coefficient of static friction between the tires and the road is \( \mu_s = 0.19 \), determine the minimum safe speed so no slipping occurs. Neglect the size of the car. **Note:** 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:** - A diagram of a car is shown traveling on a banked road at an angle of \( \theta = 30^\circ \). - The road is represented with a curvature radius \( \rho \). - The car is positioned on the inclined surface. **Input Field:** - Your Answer: [Text Box] - Answer: [Text Box] [units]
Expert Solution
Step 1

Centripetal acceleration will help to keep this car on bank and not sliding.

It is given that angle of banking (θ):- 30°

Radius of curvature (ρ) = 520 ft

Coefficient of friction (μ)= 0.19

Gravitational acceleration (g)= 32.2 ft/s2

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