I would appreciate some help if poss I am really stuck.

Question

I have an equation t = kpxd^2
I have to find the SI units of K

SI units of t = s
p = kg^-3
x = m
d = m
k is constant

I am really pulling my hair out on this one?

Answer 1

so use the units to give you the answer

s = k * (kg^-3) * (m) * (m)

s = k * (kg^-3) * (m^2)

You have to end up with seconds on the right side

so....

k has to have units to get rid of the (kg^-3) and the (m^2) and you have to end in seconds

so....

to get rid of (kg^-3) you need (kg^3)
to get rid of (m^2) you need (m^-2)
to end up in seconds k needs to have s in it

so....

k ---> s(kg^3)(m^-2)

Answer 2

Oh! I see now, thanks very much.