22.3 rad/s
Further explanation
We will solve the question of uniform circular motion.
Given:
- A bicycle has tires of radius [tex]\boxed{ \ R = 0.35 \ meters \ }[/tex]
- The bicycle is traveling at a constant speed of [tex]\boxed{ \ v = 7.8 \ m/s \ }[/tex]
Question:
What angular speed are the tires rotating?
The Process:
Speed, angular speed, and radius are connected in the following formula:
[tex]\boxed{\boxed{ \ v = \omega R \ }}[/tex]
The angular speed is worked out by
[tex]\boxed{ \ \omega = \frac{v}{R} \ }[/tex]
All units are in the SI system so let us calculate the angular speed.
[tex]\boxed{ \ \omega = \frac{7.8 \ m/s}{0.35 \ m} \ }[/tex]
Thus the value of the angular velocity of the rotating tire is [tex]\boxed{\boxed{ \ \omega = 22.3 \ rad/s \ }}[/tex]
An additional question:
What is the frequency of tire rotation?
Recall this formula: [tex]\boxed{ \ \omega = 2 \pi f \ } \rightarrow \boxed{ \ f = \frac{\omega}{2 \pi} \ }[/tex]
[tex] \boxed{ \ f = \frac{22.3 \ rad/s}{2 \pi} \ }[/tex]
We get [tex]\boxed{\boxed{ \ f = 3.55 \ Hz \ }}[/tex]
Learn more
- Arc CD is ²/₃ of the circumference of a circle. What is the radian measure of the central angle? https://brainly.com/question/2115496
- A triangle is rotated 90° about the origin https://brainly.com/question/2992432
- Particle's speed and direction of motion https://brainly.com/question/2814900
Keywords: a bicycle has tires of radius 0.35 meters. traveling, at a constant speed of 7.8 m/s, at approximately, angular speed, the tires rotating
