a. Enter an expression for the force constant of the U-shaped column of water when displaced from equilibrium, in terms
Posted: Wed May 04, 2022 1:11 pm
a. Enter an expression for the force constant of the U-shaped column of water when displaced from equilibrium, in terms of the defined quanities, p and g. This constant is analogous to the spring constant in Hooke's law.
b. Find the value of the force constant, in newtons per meter. Take p= 1000 kg/m^3 and g = 9.81 m/s^2
c. Calculate the period of oscillation in seconds
(8%) Problem 13: A section of uniform pipe is bent into an upright U shape and partially filled with water, which can then oscillate back and forth in simple harmonic motion. The inner radius of the pipe is = 0.025 m. The radius of curvature of the curved part of the U is R = 0.23 m. When the water is not oscillating, the depth of the water in the straight sections is d = 0.49 m.
b. Find the value of the force constant, in newtons per meter. Take p= 1000 kg/m^3 and g = 9.81 m/s^2
c. Calculate the period of oscillation in seconds
(8%) Problem 13: A section of uniform pipe is bent into an upright U shape and partially filled with water, which can then oscillate back and forth in simple harmonic motion. The inner radius of the pipe is = 0.025 m. The radius of curvature of the curved part of the U is R = 0.23 m. When the water is not oscillating, the depth of the water in the straight sections is d = 0.49 m.