The equation of a simple harmonic motion is X = 0.34 cos ( 3000 t + 0.74 ) where X and t are in mm and sec. The frequency of motion is

Q. The equation of a simple harmonic motion is $x=0.34\cos (3000t+0.74)$ , where $x$ and $t$ are in mm and sec respectively. The frequency of the motion is :

Q. The equation of motion of a particle executing simple harmonic motion is $a+16{\pi }^{2}x=0$. In this equation, $a$ is the linear acceleration (in ${\text{m/s}}^2$) of the particle at a displacement $x$ (in meter). The time period in simple harmonic motion is

Q. A simple harmonic motion is given by the equation
$x=3sin3\pi t+4cos3\pi t$
where x is in metres. The amplitude of the motion is

Q. The equation of a simple harmonic motion is given by $x=6sin10t+8cos10t,$ where $x$ is in cm, and t is in seconds. Find the resultant amplitude

Q. The equation of particle executing simple harmonic motion $x=10\text{sin}(\pi t+\frac{\pi }{6})$ where $x,t$ are in SI units. Find the velocity of the particle at $t=1$ seconds.