In a department store an airstream from a hose connected to the exhaust of a vacuum cleaner blows upward at an angle and supports a beach ball in midair. does the air blow under or over the ball provide support

Engines for propeller-driven aircraft are limited in their maximum rotational speed by the fact that the tip speed of the propeller must not approach the speed of sound in air (mach i). taking 6 ft as a typical diameter for a propeller of a light airplane and 1100 fils as the speed of sound, find the upper limit on the rpm (revolutions per minute) of the propeller shaft.