Question

A simple harmonic motion is given by the equation $y=5(\sin 3\pi t+\sqrt{3}\cos 3\pi t)$. What is the amplitude of motion if y is in m ?

• A. 100 cm
• B. 5 m
• C. 200 cm
• D. 1000 cm

Answer 1

The correct option is D 1000 cm

$y=5\sin 3\pi t+5\sqrt{3}\cos 3\pi t=A\sin 3\pi t+B\cos 3\pi t$

So, amplitude $=\sqrt{A^2+B^2}=\sqrt{25+75}=10m$