The angular velocity of a body is overset arrow ω =2 hati+3 hatj+4 hatk and a torque overset arrow τ= hati+2 hatj+3 hatk acts on it. The rotational power will be

Question

The angular velocity of a body is overset arrow ω =2 hati+3 hatj+4 hatk and a torque overset arrow τ= hati+2 hatj+3 hatk acts on it. The rotational power will be (A) 20 W (B) 15 W (C) √17 W (D) √14 W

Tardigrade Admin · Accepted Answer

We know that P= overset arrow τ. overset arrow ω =( hati + 2 hatj + 3 hatk).(2 hati + 3 hatj + 4 hatk) P=2+6+12=20 W

Q. The angular velocity of a body is $ω \to = 2 \hat{i} + 3 \hat{j} + 4 \hat{k}$ and a torque $τ \to = \hat{i} + 2 \hat{j} + 3 \hat{k}$ acts on it. The rotational power will be

$20 W$

$15 W$

$17 W$

$14 W$

We know that
$P = τ \to . ω \to = (\hat{i} + 2 \hat{j} + 3 \hat{k}) . (2 \hat{i} + 3 \hat{j} + 4 \hat{k})$
$P = 2 + 6 + 12 = 20 W$

Q. The angular velocity of a body is ω→=2i^+3j^​+4k^ and a torque τ→=i^+2j^​+3k^ acts on it. The rotational power will be

20W

15W

17​W

14​W