Question

A particle starts from the point (0m, 8m) and moves with uniform velocity of 3 $\hat{i}$ m/s. After 5 seconds the angular velocity of the particle about the origin will be :

• A. $\frac{8}{289}rad/s$
• B. $\frac{3}{8}rad/s$
• C. $\frac{24}{289}rad/s$
• D. $\frac{8}{17}rad/s$

Answer 1

The correct option is C $\frac{24}{289}rad/s$

$\begin{array}{c}\text{Angular velocity}=\frac{V\cos \theta }{l}=\frac{v\times 8}{{\ell }^2}\\ =\frac{24}{8^2+{15}^2}=\frac{24}{289}\\ \text{Hence option}C\text{is correct}\end{array}$