If you triple the frequency of a vibrating object what will happen to its period?

Answer 1

There are two basic characteristics of harmonic motion: amplitude and frequency. Frequency can be looked at in a couple of ways. One is the number of cycles in a given unit of time (like cycles per second), and the other is the length of time it takes for one complete cycle of the motion, the period (like seconds per cycle). As the frequency increases, the time it takes for one cycle decreases. If there are more cycles per unit time, then it will take less time per cycle of the motion. That's an important concept. The two are inversely proportional. For a given motion, if its frequency doubles, then it takes half as long for one of the cycles to occur. The period is cut in half because the frequency had doubled. Following that logic, if the frequency of a harmonic motion is tripled, the period will be one third the period of the original motion.