An object undergoes simple harmonic motion. During that motion the object needs 1.1 seconds to reach one point of zero velocity from the previous such point. If the distance between those points is 0.3 m, calculate the period.
To calculate the period of an object undergoing simple harmonic motion, we need to know the time taken for one complete cycle. In this case, we are given the time taken to go from one point of zero velocity to the next, which is half of one complete cycle.
Let's denote the time taken for one complete cycle as T and the time taken to go from one point of zero velocity to the next as t. We are given that t = 1.1 seconds.
Since t is half of T, we can write the following equation:
t = T/2
To find T, we can rearrange the equation:
T = 2t
Substituting the given value for t:
T = 2 * 1.1 seconds
T = 2.2 seconds
Therefore, the period of the object's simple harmonic motion is 2.2 seconds.