A bicycle has wheels 28 inches in diameter. tachometer determines that the wheels are rotating at 180 RPM (revolutions per minute). Find the speed the bicycle is traveling down the road.

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 = radian per second.

radian per second

Speed of bicycle V = r*ω

Where,

r= radius of the wheel

Therefore,

speed of the bicycle traveling down the road = 84π.

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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