Answer:
Angular velocity=0.785rad/s
Step-by-step explanation:
Let us first consider the circumference of pendulum that is:
Circumference=[tex]2{\pi}r[/tex], where r is the radius.
Now, it is given that the radius is= 6 foot , therefore
Circumference=[tex]2{\times}3.14{\times}6[/tex]
Circumference=[tex]37.68foot[/tex]
Now, Calculate enough time to produce a whole circular, by causing a proportion with both ratios:
Ratio 1 =[tex]\frac{x}{37.68}[/tex] and Ratio 2=[tex]{\frac{3}{14.13}}[/tex]
Thus, ratio 1 = ratio 2
[tex]\frac{x}{37.68}={\frac{3}{14.13}}[/tex]
[tex]x=\frac{3{\times}37.68}{14.13}[/tex]
[tex]x=8s[/tex]
Also, Calculate the angular speed as the [tex]2\pi[/tex]radian (which is the full total angle of the group) divided by enough time.
So the angular speed is =[tex]\frac{2\pi rad}{8s}=\frac{2{\times}3.14 rad}{8s}=0.785rad/s[/tex].
