Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles θ₁, θ₂ and θ₃ respectively and released. The approximation sin θ = θ holds for all three angles, with θ₃ θ₂ θ₁. How do the angular frequencies of the three pendulums compare? A) ω₃ ω₂ ω₁ B) Need to know amplitudes to answer this question. C) Need to know to answer this question. D) ω₁ ω₂ ω₃ E) ω₁ = ω₂ = ω₃

Question

Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles θ₁, θ₂ and θ₃ respectively and released. The approximation sin θ = θ holds for all three angles, with θ₃ > θ₂ > θ₁. How do the angular frequencies of the three pendulums compare? A) ω₃ > ω₂ > ω₁ B) Need to know amplitudes to answer this question. C) Need to know to answer this question. D) ω₁ > ω₂ > ω₃ E) ω₁ = ω₂ = ω₃

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 θ₁, θ₂ and θ₃ respectively and released. The approximation sin θ = θ holds for all three angles, with θ₃ > θ₂ > θ₁. How do the angular frequencies of the three pendulums compare? A) ω₃ > ω₂ > ω₁ B) Need to know amplitudes to answer this question. C) Need to know to answer this question. D) ω₁ > ω₂ > ω₃ E) ω₁ = ω₂ = ω₃

Three Pendulums with Strings of the Same Length and Bobs