A weightless thread can bear tension upto 37 N . A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane . If g =10`ms^(-2) `, then the maximum angular velocity of the stone will be

Options

A. 4 radians/se
B. 16 rad/sec
C. `sqrt(21)` rad/sec
D. 2 rad/sec

Answer

A

Explanation

`T_("max") = 3.7 kgwt = 37 N` (at lowest point)
`T_("max") = (mv^(2))/r + mg`
`rArr 37 = momega^(2)r + mg`
`rArr omega^(2) = 16 rArr omega = 4 "rad"//"sec"`