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Question: Which of the following is the correct relation between linear velocity \(\overrightarrow{v}\) and a...

Which of the following is the correct relation

between linear velocity v→\overrightarrow{v} and angular velocity ω→\overrightarrow{\omega} of a particle?

A

v→=r→×ω→\overrightarrow{v} = \overrightarrow{r} \times \overrightarrow{\omega}

B

v→=ω→×r→\overrightarrow{v} = \overrightarrow{\omega} \times \overrightarrow{r}

C

ω→=r→×v→\overrightarrow{\omega} = \overrightarrow{r} \times \overrightarrow{v}

D

ω→=v→×r→\overrightarrow{\omega} = \overrightarrow{v} \times \overrightarrow{r}

Answer

v→=ω→×r→\overrightarrow{v} = \overrightarrow{\omega} \times \overrightarrow{r}

Explanation

Solution

The relation between linear velocity v→\overset{\rightarrow}{v}and angular velocity ω→\overset{\rightarrow}{\omega} is v→=ω→×r→\overset{\rightarrow}{v} = \overset{\rightarrow}{\omega} \times \overset{\rightarrow}{r}