Find the dimensions of

Question:

Find the dimensions of

a)angular speed,

b) angular acceleration,

c) Torque T

c)moment of Inertia I

Solution:

a) Angular speed $=$ radian/time $=\left[\mathrm{M}^{0} \mathrm{O}^{-1}\right]$

b) Angular acceleration $=$ Angular speed/time $=\left[\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-2}\right]$

c) Torque $=\vec{r} \times \vec{F}=\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$

d) Moment of Inertia $=\mathrm{Mr}^{2}=\left[\mathrm{ML}^{2}\right]$

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