What is the value of linear velocity,if vec o | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The linear velocity $\vec v$ is given by the cross product of angular velocity $\vec \omega$ and position vector $\vec r$: $\vec v = \vec \omega \

Vedclass · Accepted Answer

$-18\hat i - 13\hat j + 2\hat k$

Vedclass · Answer

(B) The linear velocity $\vec v$ is given by the cross product of angular velocity $\vec \omega$ and position vector $\vec r$: $\vec v = \vec \omega 	imes \vec r$ $\vec v = \begin{vmatrix} \hat i & \hat j & \hat k \ 3 & -4 & 1 \ 5 & -6 & 6 \end{vmatrix}$ Expanding the determinant: $\vec v = \hat i((-4)(6) - (1)(-6)) - \hat j((3)(6) - (1)(5)) + \hat k((3)(-6) - (-4)(5))$ $\vec v = \hat i(-24 + 6) - \hat j(18 - 5) + \hat k(-18 + 20)$ $\vec v = -18\hat i - 13\hat j + 2\hat k$

What is the value of linear velocity,if $\vec \omega = 3\hat i - 4\hat j + \hat k$ and $\vec r = 5\hat i - 6\hat j + 6\hat k$?

Similar Questions

The value of the integral $\int_0^4 \frac{dx}{1+x^2}$ obtained by using the Trapezoidal rule with $h=1$ is

The electronic configurations of four elements are given as:
$(I) 1s^2, (II) 1s^2 2s^2 2p^2, (III) 1s^2 2s^2 2p^5, (IV) 1s^2 2s^2 2p^6$. Which configuration has the ability to form both ionic and covalent bonds?

Fructose reduces Tollen's reagent due to

Which of the following forms a stable $+4$ oxidation state?

The solution set of $(5 + 4\cos \theta )(2\cos \theta + 1) = 0$ in the interval $[0, 2\pi ]$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module