1. A bicycle with50.80 cm diameter wheels is traveling at17.00 km / hr . At what

Question

1. A bicycle with50.80 cm diameter wheels is traveling at17.00 km/hr. At what angular speed do thewheels turn? A bicycle with50.80 cm diameter wheels is traveling at17.00 km/hr. At what angular speed do thewheels turn?
2. A crumb from a greeneggs and ham sandwich has fallen on a rotating record at a distanceof 3.5 cm from the axis of rotation. The record is rotating at 33.3rev/min. What is the period of the rotation? What is the magnitude of the crumb's centripetalacceleration?
2. A crumb from a greeneggs and ham sandwich has fallen on a rotating record at a distanceof 3.5 cm from the axis of rotation. The record is rotating at 33.3rev/min. What is the period of the rotation? What is the magnitude of the crumb's centripetalacceleration?

Explanation / Answer

diameter d= 50.8 cm radius r = d / 2= 25.4 cm = 0.254 m speed v = 17 km / h = 17 * ( 5/ 18 ) m / s= 4.722 m /s Angular speed w = v / r                            = 18.59 rad / s (2).distance r= 3.5 cm =0.035 m angular speed w = 33.3 rev / min                          = 33.3 * 2 rad / 60 s                          = 3.487 rad / s period T = 2 / w                =1.801 s centripetal accleration a= rw^ 2                                     = 0.4255 m / s^ 2

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