MCQ
A particle has displacement y given by $\text{y}=3\sin(5\pi\text{t}+\phi),$ where y is in metre and t is in second. What are frequency and period of motion?
- A0.4Hz, 2.5s
- B2.5Hz, 0.4s
- C2.5Hz, 2.5s
- D0.4Hz, 0.4s
✓
Answer
- 2.5Hz, 0.4s
Explanation:
Comparison with the standard equation shows that
$\frac{2\pi}{\text{T}}=5\pi,\text{T}=\frac{2\pi}{5\pi}=0.4\text{s}$
$\text{n}=\frac{1}{\text{T}}=\frac{1}{.4}=2.5\text{Hz}$
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