Spotlight S rotates in a horizontal plane with constant angular velocity of 0.1 rad/s The spot of light P moves along the wall at a distance of 3 m The velocity of the spot P when θ = 45 is m/s (see - fig. ) is ……….. ` m//s `

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`