Suppose a 18-bit digital representation of an analog signal with amplitude of 10 v (i. e., signal can vary from +10v to –10 v) is to be used. n =18 bits would allow for a huge dynamic range of amplitudes, from the smallest binary number (2^0 = ) to the largest binary number of (2^n–1 = ), for a dynamic range of db. this corresponds to an amplitude resolution (step-size) of (20 v)/(2n-1) = v.

In an old-fashioned amusement park ride, passengers stand inside a 3.0-m-tall, 5.0-m-diameter hollow steel cylinder with their backs against the wall. the cylinder begins to rotate about a vertical axis. then the floor on which the passengers are standing suddenly drops away! if all goes well, the passengers will “stick” to the wall and not slide. clothing has a static coefficient of friction against steel in the range 0.60 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. part a what is the minimum rotational frequency, in rpm, for which the ride is safe? express your answer using two significant figures. f f = rpm