Answer:
402.336 meters per minutes
Step-by-step explanation:
revolutions per minute = speed in meters per minute / circumference in meters.
Diameter = 28 inches
Circumference of the wheel = 2πr
r = Diameter/2 = 28/2 = 14
Circumference = 2 × π × 14
= 87.964594301 inches
Approximately = 88 inches
Note that:
1 inch = 0.0254 metre
88 inches = x
x = 88 × 0.0254 meters
x = 2.2352 meters
Hence:
Revolutions per minute = Speed in meters per minute / circumference in meters.
Speed = Revolutions per minute × circumference in meters.
Speed = 180 RPM × 2.2352 meters
Speed = 402.336 meters per minutes
Speed of the bicycle traveling down the road = 84π.
It is given that
Diameter of the wheel (2r) = 28 inches, where 'r' is the radius
Speed N(in revolutions per minute) = 180rpm
Angular speed ω = [tex]\frac{2\pi N}{60}[/tex]radian per second.
[tex]w= \frac{2*\pi*180 }{60 } = 6\pi[/tex] radian per second
Speed of bicycle V = r*ω
Where,
r= radius of the wheel
[tex]V = 14*6*\pi = 84\pi inches/second[/tex]
Therefore,
speed of the bicycle traveling down the road = 84π.
To get more about circular motion problems refer to:
https://brainly.com/question/106339
