If the displacement of a particle executing S | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The given equation for displacement is $y = A \sin(\omega t + \phi)$,where $A = 0.30 \, m$ and $\omega = 220 \, rad/s$.$1$. Frequency $(n)$: The f

Vedclass · Accepted Answer

$35 \, Hz$,$66 \, m/s$

Vedclass · Answer

(A) The given equation for displacement is $y = A \sin(\omega t + \phi)$,where $A = 0.30 \, m$ and $\omega = 220 \, rad/s$.$1$. Frequency $(n)$: The frequency is given by $n = \frac{\omega}{2\pi}$.$n = \frac{220}{2 	imes 3.14159} \approx 35.01 \, Hz \approx 35 \, Hz$.$2$. Maximum velocity $(v_{\max})$: The maximum velocity is given by $v_{\max} = \omega A$.$v_{\max} = 220 	imes 0.30 = 66 \, m/s$.Thus,the frequency is $35 \, Hz$ and the maximum velocity is $66 \, m/s$.

If the displacement of a particle executing $SHM$ is given by $y = 0.30 \sin(220t + 0.64)$ in meters,then the frequency and maximum velocity of the particle are:

Similar Questions

The displacement of a particle varies with time according to the relation $x = a \sin \omega t + b \cos \omega t$.

Which of the following expressions corresponds to simple harmonic motion along a straight line,where $x$ is the displacement and $a, b, c$ are positive constants?

Draw plots for initial phase $\phi = 0$ for different periods.

What is the value of frequency in the differential equation of $SHM$ $\frac{d^{2}x}{dt^{2}} + 100x = 0$?

Write the difference between periodic motion and simple harmonic motion.

Vedclass Test Series

Exam Paper Generator

Online Exam Module