Wheel A of radiusr a = 13.4 cm is coupled by belt B to wheel C of radiusr c = 29

Question

Wheel A of radiusra = 13.4 cm is coupled by belt B to wheel C of radiusrc = 29.8 cm. Wheel A increases its angular speed fromrest at time t = 0 s at a uniform rate of 2.7rad/s2. At what time will wheelC reach a rotational speed of 189.1 rev/min, assuming the belt doesnot slip?
2. A wheel has eight spokes and a radius of28.5 cm. It is mounted on afixed axle and is spinning at 2.85 rev/s. You want to shoot a31.5 cm long arrowthrough the wheel, parallel to this axle, without hitting any ofthe spokes. Assume that the arrow and the spokes are very thin andevenly spaced. What minimum speedmust the arrow have?

Explanation / Answer

Please submit one question at a time! T = 1 / f = 1 / 2.85    period ofrevolution t = T / 8 = .0439     time for one spoketo move to position of adjacent spoke v = s / t = .315 / .0439 = 7.18 m/s    forspeed of arrow

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