The rotating speed can be determined using an incremental optical encoder by two ways: For high speeds, pulse are counted over a sample period and the pulse rate is computed; For low speeds, the duration of a pulse is timed and since the angle of rotation corresponding to a pulse is a known fixed value, the speed is counted from the information. An incremental encoder with 500 windows in its track is used for speed measurement. Suppose that:
a. in the pulse-counting method, the count (buffer) is read at the rate of 10 Hz.
b. in the pulse-timing method, a clock of frequency 10 MHz is used.
Determine the percentage resolution for each of these two methods when measuring a speed of:
i. 1 rev/s
ii. 100 rev/s.