Question

If s is distance and t is time, what must be the dimensions of a and b in the equation
s=asin(bt)
?

[a]=[L]−1
,
[b]=[L]−1

[a]=[T]−1
,
[b]=[L]

[a]=[L]
,
[b]=[T]−1

[a]=[L]2
,
[b]=[T]−2

Answer 1

Answer on question #51850, Physics, Mechanics — Kinematics — Dynamics

Question If s is distance and t is time, what must be the dimensions of a and b in the equation s=asin(bt)

$$\begin{array}{l} [a] = [L]^{-1}, [b] = [L]^{-1} \\ [a] = [T]^{-1}, [b] = [L] \\ [a] = [L], [b] = [T]^{-1} \\ [a] = [L]^{2}, [b] = [T]^{-2} \\ \end{array}$$

Solution Answer is $[a] = [L]$, $[b] = [T]^{-1}$.

http://www.AssignmentExpert.com/