The mass of the bob of a conical pendulum is 100 g and the length of the string is 150 cm. If the radius of the circle in which the bob rotates is 22 cm and if the thread makes an angle of `15^(@)` with the vertical, calculate the velocity of the bob

Options

A. 0.76m/s
B. 0.84m/s
C. 1.2m/s
D. 2.4m/s

Answer

A

Explanation

`tan theta=(v^(2))/(rg)`
`(OA)/(mg.)=(AB)/((mv^(2))/r)=(OB)/T`
`tan theta=(AB)/(OA)=(mv^(2))/(rmg)=(v^(2))/(rg)`
`tan 15=(v^(2))/(0.22xx9.8)`
`v=sqrt(0.22xx9.8xxtan 15)=0.76m//s`