Please help and be very detailed with the steps- don\'t skip any im a beginner t

Question

Please help and be very detailed with the steps- don't skip any im a beginner thanks!

The next Two questions apply to the following: A person is riding a bicycle at 7 m/s. If the radius of each wheel of the bicycle is 0.31 m, how fast are the bicycle wheels rotating in revolutions per minute? A 57 rpm B 216 rpm C 145 rpm D 27 rpm E 21 rpm The gumballs are attached to one of the bicycle wheels as shown in the figure below. Which one of the following statements is correct about the motion of the two gumballs? The gumballs are attached to one of the bicycle wheels as shown in the figure below. Which one of the following statements is correct about the motion of the two gumballs? A. The linear speed (or tangential speed) of the gumballs is the same. B. The angular speed of gumball A is greater than the angular speed of gumball B. C The angular displacement of the gumballs is the same. D. The angular speed of gumball B is greater than the angular speed of gumball A. E. The centripetal acceleration of the gumballs is the same.

Explanation / Answer

Circumference of wheel = 2r

                                   = 2*0.31

                                   = 1.947 m

speed of bicycle = 7 m/s

1 m/s to 60 m/min

Therefore speed of bicycle is 7*60 = 420 m/min

For each revolution, wheel turns 1.947 m

So
Angular speed of wheels = 420 m/min / 1.947 m

                                    = 215.63 rev/min = 216 rev/min = 216 rpm (option B)

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