Answer:
The value is [tex]T = 29.58 \ N[/tex]
Explanation:
From the question we are told that
The mass of the stone is [tex]m = 0.2 \ kg[/tex]
The radius of the circle is [tex]r = 0.6 \ m[/tex]
The angular speed is [tex]w = 150 \ rpm = \frac{ 2 * \pi * 150 }{ 60 } = 15.7 \ rad/s[/tex]
Generally the tension in the string is mathematically represented as
[tex]T = m * r * w ^2[/tex]
=> [tex]T = 0.2 * 0.6 * 15.7 ^2[/tex]
=> [tex]T = 29.58 \ N[/tex]