Hello guys Could you please solve this question for me Thank

Hello guys

Could you please solve this question for me.

Thanks a lot

Sampling Theory In-class Discussion Consider the sampling theory for the clock with three hands (i.e., the hour hand, the minute hand, and the second hand) (a) What is the frequency of each hand? (b) If you were to record for a video shoot of the clock, i) What is a proper frame rate (i.e., the number of frames per minute) to use in order to have all three hands move clockwise in the video? ii) What is a frame rate to use in order to have the hour and minutes hands move clockwise but the second hand move counter clockwise in the video? iii) What is the frame rate to use in order to have the hour hand move clockwise, the minute hand stay still and the second hand move counter clockwise in the video? iv) What is a frame rate to use in order to have the hour hand move clockwise but the minute and second hands move counter clockwise in the video? v) What is a frame rate to use in order to have all three hands move counter clockwise in the video? (c) Can you make one of the video in (b) which demonstrates aliasing affects?

Solution

Please post multiple questions, since it contains lot of sub-parts, i am finding the first three part answers i.e. part A

One cycle rotation will lead to 60 seconds and since frequency is invesely proportional to time

Frequency of second hand = 1/60 Hz

Similarly, one cycleof minute contains 60 minutes which contains 60*60 = 3600 seconds

Hence frequency of minute hand = 1/3600 Hz

1 complete cycle of hour hand contains 12 hours, hence the frequency of the hour hand is

1/(3600*12) = 1/43200 Hz