Leon’s bicycle wheels have a circumference of 2 m. What is his linear speed when the wheels rotate at 1 revolution per second? Show all work leading to your answer.

Question

The wheel doesn't slip on the ground so the ground goes by at the same rate that a point on the rim of the wheel moves.
1 revolution per second= 1 circumferences per second= 2 meters per second
2(meters/sec)* (3600sex/hr)* (1km/1000m)
= 7.2 km per hr.

Answer 1

v = ω * r
where
v = linear/tangential velocity (m/s)
ω = angular velocity (rad/s)
r = radius (m)

Since the wheels rotate at 1 rev/s (this is the angular velocity), its equivalent to rad units is 2π rad/s.
And since the wheels have circumference of 2 m, the radius is
C = 2πr
r = 2/(2π)
r = 1/π meters
Substituting,
v = (2π rad/s) * (1 / π meters)
v = 2 m/s
If you want to convert it in km/hr,
2 m/s * (1 km / 1000 m) * (3600 s / hr) = 7.2 km/hr

Your answer is correct. :)
hope this helps~ `u`

Answer 2

Thank you :)