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Home » 10 Shocking Facts About US State Flags You Never Knew! - Upplift

10 Shocking Facts About US State Flags You Never Knew! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 #### 45.92

📌 Elena, a physics student, is measuring the resonance frequency of a wire. She finds that tension F increases the frequency f according to f = (1/2L)√(F/μ), where L = 0.5 m, μ = 0.002 kg/m. If F increases from 40 N to 90 N, by how much does f increase?

📌 Base frequency: f₀ = (1/(2×0.5))√(40/0.002) = 1 × √(20000) ≈ <<sqrt(20000)=141.42>>141.42 Hz

📌 At 90 N: f₁ = 1 × √(90/0.002) = √(45000) ≈ <<sqrt(45000)=212.13>>212.13 Hz

📌 Increase = 212.13 − 141.42 = <<212.13-141.42=70.71>>70.71 Hz

📌 #### 70.71

📌 Noah is designing a gear system for a robotics project. Gear A (12 teeth) drives Gear B (36 teeth), which is on the same shaft as Gear C (15 teeth), driven by Gear D (45 teeth). If Gear A rotates at 180 RPM, what is the RPM of Gear D?

📌 Gear A:B ratio = 12:36 = 1:3 → Gear B = 180 / 3 = <<180/3=60>>60 RPM

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