Question

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

• A. $0.96$
  
• B. $0.76$
  
• C. $0.32$
  
• D. $0.48$
  

Answer 1

The correct option is B $0.76$

$Tsin\theta =m{v}^2/randTcos\theta =mg$

$tan\theta =v^2/rg$

$v=\sqrt{rgtan\theta }$

$v=\sqrt{0.22\ast 9.8\ast tan15}=0.76m/s$