a bicycle is traveling 6 meters per second. If the tires have diameter 66 cm, how fast is the wheel turning in rotations per minute

Question

a bicycle is traveling 6 meters per second. If the tires have diameter 66 cm, how fast is the wheel turning in rotations per minute

Answer 1

Circumference = π(diameter) = 66π cm

 

6 m/sec= (6 m/sec)(1 rotation/(66π cm))(100 cm/1m)(60 sec/1min)

 

            = 173.6 rotations/min

Answer 2

If the bike travels 6 m in one second, then in one minute the bike travels 6·60 = 360 m.

 

360 = 2·pi·r·n

• pi = 3.14159...
• r = wheels radius = 66 cm = 0.66 meters
• n = the number of times the wheel turns

 

Plug in the numbers, solve for n.  Round to one decimal place.