A wheel has eight equally spaced spokes and a radius of 30cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. If we shoot a 20 cm long arrow parallel to this axle and through the wheel without hitting any of the spokes. Assume that the arrow and the spokes are very thin.
(a) What minimum speed the arrow must have?
(b) Does it matter where between the axle and rim of the wheel we aim? If so, what is the best location?
Here,the time interval between two successive spokes at a fixed point,
Hence it does not matter where between the axle and rim of the wheel you aim. Velocity is independent of the radial distance because the arrow and the spokes are very thin.