Question

A puck of mass 0.5100.510kg is attached to the end of a cord 0.827m long. The puck moves in a horizontal circle without friction. If the cord can withstand a maximum tension of 126N, what is the highest frequency at which the puck can go around the circle without the cord breaking?

Answer 1

Answer:2.74 Hz

Explanation:

Given

mass Puck $m=0.51 kg$

length of cord $L=0.827 m$

Maximum Tension in chord $T=126 N$

as the Puck is moving in a horizontal circle so maximum Tension in the string will be equal to centripetal force

$F_c=m\omega ^2L=T$

$126=0.51\times (\omega )^2\times 0.827$

$\omega =\sqrt{298.74}$

$\omega =17.28 rad/s$

$\omega =2\pi f$

$f=\frac{2\pi }{\omega }$

$f=2.74 Hz$