The dimensional formula of angular velocity $(ω = \frac{v}{r})$ is
$M L^{o} T^{- 2}$
$M^{0} L^{0} T^{- 1}$
$M L T^{- 1}$
$M L^{o} T^{1}$

Question

The dimensional formula of angular velocity left-omega-cfrac-v-r-right- isML-oT-2-M-0L-0T-1-MLT-1-ML-oT-1-

Toppr Admin · Accepted Answer

The correct option is C M0L0T-x2212-1The angular velocity of a body is given by-x3C9-VrThe dimension of V-LT-x2212-1-The dimension of r-L-x3C9-LT-x2212-1L-T-x2212-1-x3C9-M0L0T-x2212-1

The dimensional formula of angular velocity (ω=vr) isMLoT−2M0L0T−1MLT−1MLoT1

The correct option is C M0L0T−1The angular velocity of a body is given by:ω=VrThe dimension of V=[LT−1]The dimension of r=[L]ω=LT−1L=T−1ω=M0L0T−1

The dimensional formula of angular velocity $(ω = \frac{v}{r})$ is
$M L^{o} T^{- 2}$
$M^{0} L^{0} T^{- 1}$
$M L T^{- 1}$
$M L^{o} T^{1}$

The correct option is C $M^{0} L^{0} T^{- 1}$
The angular velocity of a body is given by:
$ω = \frac{V}{r}$

The dimension of $V = [L T^{- 1}]$
The dimension of $r = [L]$

$ω = \frac{L T^{- 1}}{L} = T^{- 1}$

$ω = M^{0} L^{0} T^{- 1}$