Home
Class 11
PHYSICS
A harmonic oscillation is represented by...

A harmonic oscillation is represented by y=0.34 cos (3000t+0.74), where y and t are in mm and s respectively. Deduce (i) and amplitude (ii) the frequency and angular frequency (iii) the period and (iv) the intial phase.

Text Solution

AI Generated Solution

To solve the problem step by step, let's analyze the given harmonic oscillation equation: **Given Equation:** \[ y = 0.34 \cos(3000t + 0.74) \] ### Step 1: Determine the Amplitude The amplitude \( a \) is the coefficient in front of the cosine function in the standard form of simple harmonic motion, which is: \[ y = a \cos(\omega t + \phi) \] ...
Promotional Banner

Similar Questions

Explore conceptually related problems

A harmonic osciallation is represented by x=0.25 cos ( 6000t + 0.85) ,where x and t are in mm and second respectively . Deduce (i) amplitude , (ii) frequency (iii) angular frequency Hint : Compare with x= A cos ( omega t + phi) a is amplitude frequency , v = ( omega)/(2pi) , omega = 6000 rad s^(-1)

A simple harmonic oscillation is represented by the equation y=5sin(100pi t+0.8) , when y and t are in metre and second respectively. Write down its amplitude, angular frequency, frequency time period and initial phase.

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

A simple harmonic oscillation is represented by the equation y = 0.5sin(50pi t+1.8) . Where y is in meter and t is in second. Find its amplitude, frequency, time period and initial phase.

A standing wave is represented by, y-Asin(100t)cos(0.01x) , where x,y and A are in millimeter and t in second. The velocity of the wave is

In the given progressive wave y=5sin (100pit-0.4pix) where y and x are in m, t in s, what is the (a) amplitude (b) wavelength (c) frequency (d) wave velocity (e) particle velocity amplitude.

The equation of a transverse wave is given by y=10 sin pi (0.01 x -2t ) where x and y are in cm and t is in second. Its frequency is

Harmonic vibrations comply to the law s=0.20cos(300t+2) Find the amplitude, the frequency, the period and the initial phase of the vibrations.

The equation of a progressive wave is y= 1.5sin(328t-1.27x) . Where y and x are in cm and t is in second. Calcualte the amplitude, frequency, time period and wavelength of the wave.

The equation of progressive wave is given by y=10sin[300pi(t-(x)/(480))] where x and y are in metre and t is in second. Calculate the amplitude frequency time period and wavelength of the wave.