Question Detail

PHY 104 PHY 104 Past Questions Objective Question

Question

The angular velocity for a S.H.M. given by the equation x = 3 sin 3πt + 4 cos 3πt is
Options
A 0.30 rad/s
B 3.00 rad/s
Correct Answer
C 1.50 rad/s
D 0.15 rad/s
Correct Answer

Option B is the correct answer.

Detailed Explanation

The angular velocity ω is the coefficient of t in the sine and cosine terms. Here ω = 3π rad/s. The options are in rad/s. 3π ≈ 9.42 rad/s. None of the options match. If the equation is x = 3 sin 3t + 4 cos 3t, then ω = 3 rad/s.

Hint

The angular velocity is the coefficient of t.

Question Info