Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles $\theta$1, $\theta$2 and $\theta$3 respectively and released. The approximation sin $\theta$ = $\theta$holds for all three angles, with $ \omega $3 $ \omega $2 $ \omega $1. How do the angular frequencies of the three pendulums compare?
A)($ \omega $3 $ \omega $2 $ \omega $1)
B)Need to know amplitudes to answer this question.
C)Need to know $\sqrt{g / L}$ to answer this question.
D)($ \omega $1 $ \omega $2 $ \omega $3)
E)($ \omega $1 = $ \omega $2 = $ \omega $3)

Question

Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles $\theta$1, $\theta$2 and $\theta$3 respectively and released. The approximation sin $\theta$ = $\theta$holds for all three angles, with $ \omega $3 > $ \omega $2 >$ \omega $1. How do the angular frequencies of the three pendulums compare?
A)($ \omega $3 > $ \omega $2 > $ \omega $1)
B)Need to know amplitudes to answer this question.
C)Need to know $\sqrt{g / L}$ to answer this question.
D)($ \omega $1 > $ \omega $2 > $ \omega $3)
E)($ \omega $1 = $ \omega $2 = $ \omega $3)

Quizplus · Accepted Answer

The Answer of Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles $\theta$1, $\theta$2 and $\theta$3 respectively and released. The approximation sin $\theta$ = $\theta$holds for all three angles, with $ \omega $3 > $ \omega $2 >$ \omega $1. How do the angular frequencies of the three pendulums compare?
A)($ \omega $3 > $ \omega $2 > $ \omega $1)
B)Need to know amplitudes to answer this question.
C)Need to know $\sqrt{g / L}$ to answer this question.
D)($ \omega $1 > $ \omega $2 > $ \omega $3)
E)($ \omega $1 = $ \omega $2 = $ \omega $3)

Three Pendulums with Strings of the Same Length and Bobs θ\thetaθ

Three Pendulums with Strings of the Same Length and Bobs $\theta$