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.
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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