If you are peddling at a rate of 50 RPM and your bike wheel is 52cm what is your speed in km/h
50rev/min * 52πcm/rev * 60min/hr * 1km/10^5cm
(50*52π*60)/10^5 = 4.9 km/hr
and that's "pedaling" unless you're selling the bike...
1 rev = 2πr = 2π(52) = 104π cm
so you covered 50(104π) cm in 50 revolutions in 1 minute
= 5200π cm/min
= (5200π/100000) km / (1/60) hrs , since 1 km = 100,000 cm and
1 hr = 60 minutes
= 3.12π km/h
= appr 9.8 km/h
I believe bike wheels are usually sized by their diameter, not the radius.
oobleck assumed the diameter was 52 cm, I assumed the radius was 52 cm
A diameter of 52 cm makes more sense, mine would be one of those
bikes with a huge front wheel
go with ooblecks solution
To determine your speed in km/h, we need to follow these steps:
1. Calculate the distance covered in one minute:
- The distance covered by one rotation of the bike wheel can be calculated using its circumference, which is 2πr, where r is the radius of the wheel.
- The radius is half the diameter, so if the wheel has a diameter of 52cm, the radius would be 26cm or 0.26m (since 1m = 100cm).
- The distance covered in one rotation is then (2π × 0.26m) = 1.63m.
2. Convert the distance covered in meters per minute to kilometers per hour:
- Multiply the distance covered in one minute (1.63m) by the number of rotations per minute (50 RPM).
- This gives us the distance covered in one minute: (1.63m × 50) = 81.5m.
- To convert meters per minute to kilometers per hour, we need to convert the measurement unit.
- There are 60 minutes in an hour, and 1000 meters in a kilometer.
- So, to convert meters per minute to kilometers per hour, we need to multiply the distance covered in one minute by (60/1000):
(81.5m × (60/1000)) = 4.89km/h.
Therefore, if you are pedaling at a rate of 50 RPM and your bike wheel has a diameter of 52cm, your speed would be approximately 4.89 km/h.