Marion rides her racing bicycle at a speed of 8 m/s. the bicyle wheels have a radius of 34 cm.
a. what is the angular speed of the wheels?
b. how many times does each wheel go around during a 10 minute ride?

Part A) The angular speed of the wheels is

Part B) Approximately 2,247 revolutions

Explanation:

Part A) What is the angular speed of the wheels?

we know that

The Angular speed is equal to divide the Linear speed by the radius

Let

s -----> the linear speed in m/sec

r -----> radius in m

w ----> angular speed in rad/sec

we have

substitute

Part B) How many times does each wheel go round during a 10-minute ride?  

we know that

As the wheel rotates one time, a point on the wheel rotates 2π radians.

Remember that

To find out the number of rotations divide by 2π

Approximately 2,247 revolutions

the answer would be c