9.) A motorcyclist who weighs 160 lbf accelerates his motorcycle at a rate of 10 ft/s² over a distance of 100 yards in 5 seconds. Convert all of the values given to SI units.
9.) A motorcyclist who weighs 160 lbf accelerates his motorcycle at a rate of 10 ft/s² over a distance of 100 yards in 5 seconds. Convert all of the values given to SI units.
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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![**Problem 9: Conversion to SI Units**
A motorcyclist who weighs 160 lbf accelerates his motorcycle at a rate of 10 ft/s² over a distance of 100 yards in 5 seconds. Convert all of the values given to SI units.
**Explanation:**
To convert the given values to SI units, we will use the following conversions:
1. **Weight:** 1 pound-force (lbf) = 4.44822 newtons (N)
\[
160 \text{ lbf} \times 4.44822 \text{ N/lbf} = 711.7152 \text{ N}
\]
2. **Acceleration:** 1 foot per second squared (ft/s²) = 0.3048 meters per second squared (m/s²)
\[
10 \text{ ft/s}^2 \times 0.3048 \text{ m/s}^2/\text{ft/s}^2 = 3.048 \text{ m/s}^2
\]
3. **Distance:** 1 yard = 0.9144 meters
\[
100 \text{ yards} \times 0.9144 \text{ m/yard} = 91.44 \text{ m}
\]
4. **Time:** The time is already given in seconds, which is an SI unit, so no conversion is necessary.
Using these conversions, the SI units for the given problem are:
- Weight: 711.7152 N
- Acceleration: 3.048 m/s²
- Distance: 91.44 m
- Time: 5 seconds
This problem demonstrates the conversion of various imperial units to the International System of Units (SI).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe0e51a82-0555-49b1-a211-62f7b12c21bf%2Fbbf9a4b3-74bd-4cb3-99fc-dd6978196487%2Fsrn7am_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem 9: Conversion to SI Units**
A motorcyclist who weighs 160 lbf accelerates his motorcycle at a rate of 10 ft/s² over a distance of 100 yards in 5 seconds. Convert all of the values given to SI units.
**Explanation:**
To convert the given values to SI units, we will use the following conversions:
1. **Weight:** 1 pound-force (lbf) = 4.44822 newtons (N)
\[
160 \text{ lbf} \times 4.44822 \text{ N/lbf} = 711.7152 \text{ N}
\]
2. **Acceleration:** 1 foot per second squared (ft/s²) = 0.3048 meters per second squared (m/s²)
\[
10 \text{ ft/s}^2 \times 0.3048 \text{ m/s}^2/\text{ft/s}^2 = 3.048 \text{ m/s}^2
\]
3. **Distance:** 1 yard = 0.9144 meters
\[
100 \text{ yards} \times 0.9144 \text{ m/yard} = 91.44 \text{ m}
\]
4. **Time:** The time is already given in seconds, which is an SI unit, so no conversion is necessary.
Using these conversions, the SI units for the given problem are:
- Weight: 711.7152 N
- Acceleration: 3.048 m/s²
- Distance: 91.44 m
- Time: 5 seconds
This problem demonstrates the conversion of various imperial units to the International System of Units (SI).
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