Question

A body undergoing simple harmonic motion has a maximum acceleration of \( 8\pi \text{ m/s}^2 \) and maximum speed of \( 1.6 \text{ m/s} \). What is the time period \( T \)?

• A. $0.1$ seconds
• B. $0.2$ seconds
• C. $0.3$ seconds
• D. $0.4$ seconds
• E. $0.5$ seconds

Hint:

A useful shortcut for SHM problems: the ratio $\frac{a_{max}}{v_{max}}$ always gives you $\omega$. Once you have $\omega$, finding $T$ or $f$ is straightforward. This avoids the need to calculate the amplitude $A$ separately unless specifically asked.

Answer 1

The Correct Option is D