Answer to Question #83267 in Classical Mechanics for prince

Question

The equation of a simple harmonic motion is given as d^2x/dt^2 + ω^2x =0, where the symbols have their usual meaning. The dimension of the quantity ω^2 is
a. L^−1
b. M
c. T^−2
d. LT^−2

Answer 1

The dimension of time second derivative

[d^2/(dt^2 )]=[T^(-2)]

So, the dimension of the quantity ω^2 is T^(-2)