Question Detail

PHY 104 Oscillatory Motion Objective Question

Question

For a floating object (cylinder of mass m and cross-sectional area A) oscillating vertically in a fluid of density ρ, what is the formula for its period T?
Options
A T = 2π√(Aρg/m)
B T = 2π√(m/Aρg)
Correct Answer
C T = (1/2π)√(m/Aρg)
D T = 2π(m/Aρg)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Equation 29 on page 13, in the 'Floating Object Oscillating in a Fluid' section, gives the period as T = 2π√(m/Aρg).

Hint

Check the formula for the period of a floating object's oscillation.

Question Info