1) A car with tires of radius 32cmdrives on highway at 0.447m/s. what is the angular speed of the tires?
1) A car with tires of radius 32cmdrives on highway at 0.447m/s. what is the angular speed of the tires?
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![1) A car with tires of radius 32 cm drives on a highway at 0.447 m/s. What is the angular speed of the tires?
This problem involves determining the angular speed of a car's tires given the linear speed and the radius of the tires. To calculate the angular speed (ω), use the formula:
\[
ω = \frac{v}{r}
\]
where \(v\) is the linear speed (0.447 m/s) and \(r\) is the radius of the tires (32 cm or 0.32 m).
\[
ω = \frac{0.447 \text{ m/s}}{0.32 \text{ m}} = 1.397 \text{ rad/s}
\]
The angular speed of the tires is 1.397 radians per second.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb7fd067d-2bd8-42c8-9cf1-a7f2351dbf76%2Fc390c79a-b0e4-4fa8-a250-0cb085e2a7dc%2Fqqvrx0m_processed.png&w=3840&q=75)
Transcribed Image Text:1) A car with tires of radius 32 cm drives on a highway at 0.447 m/s. What is the angular speed of the tires?
This problem involves determining the angular speed of a car's tires given the linear speed and the radius of the tires. To calculate the angular speed (ω), use the formula:
\[
ω = \frac{v}{r}
\]
where \(v\) is the linear speed (0.447 m/s) and \(r\) is the radius of the tires (32 cm or 0.32 m).
\[
ω = \frac{0.447 \text{ m/s}}{0.32 \text{ m}} = 1.397 \text{ rad/s}
\]
The angular speed of the tires is 1.397 radians per second.
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