An object with mass m in simple harmonic motion on a vertical spring is observed for 5 full oscillations. The time is measured to be 13 seconds.
What is the angular frequency (3dp)? A previous experiment using a test mass shows the spring constant is 24N/m. What is the mass of the object (3dp)?
This is the question I need to answer, I don't know what is going on from my notes. I don't have equations for these quantities with clearly defined terms. Could you please tell me what I need to know to figure this out?
In such a spring-mass system, the time period $T$ of one oscilation is related to the mass $m$ of the object and the spring constant $k$ by the equation
$$T = 2\pi \sqrt{\frac{m}{k}}$$
(https://en.wikipedia.org/wiki/Simple_harmonic_motion#Mass_on_a_spring)
You know $T$ and $k$ from the text, now search for $m$.
Also, the angular frequency $\omega$ is related to the frequency $f$ by
$$\omega = 2\pi f $$
(https://en.wikipedia.org/wiki/Angular_frequency)
Whereas the period $T$ and the frequency $f$ are related by
$$f = \frac{1}{T}$$
That should be everything you need.