A uniform U-tube contains a liquid column of total length 5 m and is placed in an elevator accelerating upward at 2.5 m/s². Take g = 10 m/s². If ω² = N s⁻², find N.
Physics · Simple Harmonic Motion · time period of linear shm
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Question

A uniform U-tube contains a liquid column of total length 5 m and is placed in an elevator accelerating upward at 2.5 m/s². Take g = 10 m/s². If ω² = N s⁻², find N.

G1 Physics · Accepted Answer

In the elevator frame, gₑ = g+a = 12.5 m/s². For a U-tube, ω² = 2gₑ/L. Therefore, ω² = 2×12.5/5 = 5 s⁻². Hence, N = 5.