Your challenge is to create a countdown timer using a servo as an analog display. The timer will have the following features:

A paper or cardboard dial to display the time between $0$ and $60$ seconds in increments of $5$ seconds.

A servo will have a pointer sweep through $180$ degrees $($between $0$ and $60$ seconds$)$

A potentiometer will be used to set the timer. $($turning the pot will cause the servo to point to the starting time$).$ Timer will be able to be set to any time between $60$ and $1$ second.

Upon setting the timer, a button press will start the timer counting down. The pointer will continuously display the remaining time in a sweeping motion.$$

When the timer reaches zero, a buzzer will sound. Pressing the button will silence the buzzer.$$

Once the buzzer has been silenced, the potentiometer can be used to start the timer again