Value of linear velocity if overrightarrow r = 3widehat i + 4widehat j + 6widehat k and overri

English

Gujarati

Hindi

3-2.Motion in Plane

medium

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

A$ - 2\widehat i + 45\widehat j - 29\widehat k$

B$ 2\widehat i - 45\widehat j + 29\widehat k$

C$3\widehat i - 29\widehat j + 45\widehat k$

D$5\widehat i - 6\widehat j + 4\widehat k$

Solution

$\overrightarrow{\mathrm{v}}=\vec{\omega} \times \overrightarrow{\mathrm{r}}=\left|\begin{array}{ccc}{\hat{\mathrm{i}}} & {\hat{\mathrm{j}}} & {\hat{\mathrm{k}}} \\ {-5} & {3} & {5} \\ {3} & {4} & {6}\end{array}\right|=-2 \hat{\mathrm{i}}+45 \hat{\mathrm{j}}-29 \hat{\mathrm{k}}$

Standard 11

Physics

A particle is moving on a circular path with constant speed $v$. It moves between two points $A$ and $B$. which subtends an angle $60^{\circ}$ at the centre of circle. The magnitude of change in its velocity and change in magnitude of its velocity during motion from $A$ to $B$ are respectively ……….

medium

If the equation for the displacement of a particle moving on a circular path is given as

$\theta = 2{t^3} + 0.5,$

where $\theta $ is in radians and $t$ is in second. Then the angular velocity of the particle after two second will be ……. $rad/sec$

medium

A body is in pure rotation. The linear speed $v$ of a particle, the distance $r$ of the particle from the axis and angular velocity $\omega $ of the body are related as $\omega = \frac{v}{r}$, thus

medium

Two point masses of mass $m_1 = fM$ and $m_2 = (1 -f)\,M\,(f < 1 )$ are in outer space ( far from gravitational influence of other objects) at a distance $R$ from each other. They move in circular orbits about their centre of mass with angular vaocities $\omega _1$ for $m_1$ and $\omega _2$ for $m_2.$ In that case

medium

(AIEEE-2012)

The second's hand of a watch has length $6\,\, cm$. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be

medium

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

Solution

Similar Questions

If the equation for the displacement of a particle moving on a circular path is given as $\theta = 2{t^3} + 0.5,$ where $\theta $ is in radians and $t$ is in second. Then the angular velocity of the particle after two second will be ……. $rad/sec$

A body is in pure rotation. The linear speed $v$​ of a particle, the distance $r$ of the particle from the axis and angular velocity $\omega $ of the body are related as $\omega = \frac{v}{r}$, thus

The second's hand of a watch has length $6\,\, cm$. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be

Start a Free Trial Now

If the equation for the displacement of a particle moving on a circular path is given as

$\theta = 2{t^3} + 0.5,$

where $\theta $ is in radians and $t$ is in second. Then the angular velocity of the particle after two second will be ……. $rad/sec$

A body is in pure rotation. The linear speed $v$ of a particle, the distance $r$ of the particle from the axis and angular velocity $\omega $ of the body are related as $\omega = \frac{v}{r}$, thus