Question Detail

PHY 104 Oscillatory Motion Objective Question

Question

Worked Example 3: If ω = 640°/s and φ = 45°, at what time t will the phase of the oscillator be 360°? The phase is given by θ = ωt + φ.
Options
A 0.125 s
B 0.492 s
Correct Answer
C 1.78 s
D 2.03 s
Correct Answer

Option B is the correct answer.

Detailed Explanation

From Worked Example 3 on page 27: The phase equation is θ = ωt + φ. We are given θ = 360°, ω = 640°/s, and φ = 45°. Rearranging for t: t = (θ - φ) / ω = (360° - 45°) / 640°/s = 315° / 640°/s ≈ 0.492 s.

Hint

Use the given phase equation and solve for time 't'.

Question Info