A spot light `S` rotates in a horizontal plane with a constant angular velocity of `0.1 rad//s`. The spot of light `P` move along the wall at a disatnce `3 m`. What is the velocity of the spot `P` when `theta = 45^(@)` ?

Options

A. 0.6 m/s
B. 0.5 m/s
C. 0.4 m/s
D. 0.3 m/s

Answer

A

Explanation

`omega=(v_(bot))/r=(v sin theta)/rrArr v =(omegar)/(sin theta)=(3 omega)/(sin^(2) theta)`
`rArr v=(0.1xx3)/((1//sqrt(2))^(2))=0.6 m//s`