The wheel shown in the figure has eight equally spaced spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. You want to shoot a 20-cm long arrow parallel to this axle and through the wheel without hitting any of the spokes. Assuming that the arrow and the spokes are very thin, (a) what minimum speed must the arrow have? (b) Does it matter where between the axle and rim of the wheel you aim? If so, what is the best location?

The wheel shown in the figure has eight equally spaced spokes and a radius of 30 cm. It is mounted on a fixed axle and is spinning at 2.5 rev/s. You want to shoot a 20-cm long arrow parallel to this axle and through the wheel without hitting any of the spokes. Assuming that the arrow and the spokes are very thin, (a) what minimum speed must the arrow have? (b) Does it matter where between the axle and rim of the wheel you aim? If so, what is the best location?