In class, we did two examples of dimensional analysis.

In the first, we deduced how $h(t)$, the height of water in the bucket, depended on $d$, the diameter of the bucket:

where $\tilde{k}$ is a constant (which depends on how fast the water is dripping from the tap) of dimensions $[L^3/T]$.

In the second example, we deduced that the period of a pendulum,

Can you think of other examples?