The driver of the truck has an acceleration of 0.52g as the truck passes over the top A of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 104 m, and the center of mass G of the driver (considered a particle) is 2.7 m above the road. Calculate the speed v of the truck. 2.7 m Answer: v= km/h i

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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**Problem Statement:**

The driver of the truck has an acceleration of 0.52g as the truck passes over the top A of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 104 m, and the center of mass G of the driver (considered a particle) is 2.7 m above the road. Calculate the speed \(v\) of the truck.

**Diagram:**

The diagram shows a truck moving over the top of a circular hump. At the highest point (labeled A), the truck is at a height where the center of mass of the driver is 2.7 meters above the road. The radius of curvature of the road at this point is 104 meters.

**Variables:**

- Acceleration of the truck \(a = 0.52g\)
- Radius of curvature \(R = 104 \, \text{m}\)
- Height of the center of mass \(h = 2.7 \, \text{m}\)
- Speed of the truck \(v = ?\)

**Answer:**

\[
v = \sqrt{(a \cdot R)}
\]

You need to convert the speed from \( \text{m/s} \) to \( \text{km/h} \) to fit the required units for the answer.

Provide your computed speed here:

Answer: \( v =\) [input field] km/h
Transcribed Image Text:**Problem Statement:** The driver of the truck has an acceleration of 0.52g as the truck passes over the top A of the hump in the road at constant speed. The radius of curvature of the road at the top of the hump is 104 m, and the center of mass G of the driver (considered a particle) is 2.7 m above the road. Calculate the speed \(v\) of the truck. **Diagram:** The diagram shows a truck moving over the top of a circular hump. At the highest point (labeled A), the truck is at a height where the center of mass of the driver is 2.7 meters above the road. The radius of curvature of the road at this point is 104 meters. **Variables:** - Acceleration of the truck \(a = 0.52g\) - Radius of curvature \(R = 104 \, \text{m}\) - Height of the center of mass \(h = 2.7 \, \text{m}\) - Speed of the truck \(v = ?\) **Answer:** \[ v = \sqrt{(a \cdot R)} \] You need to convert the speed from \( \text{m/s} \) to \( \text{km/h} \) to fit the required units for the answer. Provide your computed speed here: Answer: \( v =\) [input field] km/h
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