A conical pendulum as shown is made to rotate at a constant speed of omega rad/s. The value of omega is given below. Compute the tension (in N) in the chord if the length of the chord L is 1 m and the bob mass, m, is 0.5 kg.
N[RPM] = 768;
A conical pendulum as shown is made to rotate at a constant speed of omega rad/s. The value of omega is given below. Compute the tension (in N) in the chord if the length of the chord L is 1 m and the bob mass, m, is 0.5 kg.
N[RPM] = 768;
$\displaystyle \theta$ = angle the conical pendulum makes w/ the vertical
$\displaystyle r = L\sin{\theta} $
$\displaystyle mg = T\cos{\theta}$
$\displaystyle F_c = T\sin{\theta} = mr\omega^2$
using the three equations above, solve for $\displaystyle \theta$ and $\displaystyle T$