Suppose a bike wheel has a diameter of 80 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike in m/s?

Question

Suppose a bike wheel has a diameter of 80 cm and the rider completes one cycle in 0.8 s. What is the speed of the bike in m/s?

Please submit your answer in a neat and organized way. Thank you! :D

Answer 1

diameter = 80 cm = d

radius = half the diameter = 40 cm = r

one cycle complete in 0.8 seconds

one cycle is the circumference of the wheel = pid = 80pi cm

= about 251.3 cm = 2.513 meters

one meter = 100 centimeters

1 m = 100 cm

2.513/.8

= about 3.142 meters per second = the bike speed

or

= exactly .80pi/.8

= pi meters per second p=about 3.14159 m/s