Home
Class 11
PHYSICS
A simple harmonic motion is represented ...

A simple harmonic motion is represented as `x = 20 sin (2pi)t + 0.5]m`
find amplitude, angular frequency time period and initial phase.

Text Solution

AI Generated Solution

To solve the problem step by step, we will analyze the given equation of simple harmonic motion (SHM) and extract the required parameters: amplitude, angular frequency, time period, and initial phase. **Given Equation:** \[ x = 20 \sin(2\pi t) + 0.5 \, \text{m} \] ### Step 1: Find the Amplitude The amplitude \( A \) in a simple harmonic motion equation of the form \( x = A \sin(\omega t + \phi) \) is the coefficient of the sine function. ...
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS 2|20 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Conceptual Questions|18 Videos

  • OSCILLATIONS

    MODERN PUBLICATION|Exercise Practice Test (For Board Examination)|12 Videos

  • MOTION IN A STRAIGHT LINE

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|16 Videos

  • PHYSICAL WORLD

    MODERN PUBLICATION|Exercise Revision exercises (Long answer questions)|6 Videos

Similar Questions

Explore conceptually related problems

A simple harmonic motion is represented by x=10sin(20t+0.5). Write down its amplitude, angular frequency, frequency, time period and initial phase if displacement is measured in metres and time seconds.

A simple harmonic motion is represented by x = 5 sin (10t + 0.25) Determine is (i) amplitude (ii) Angular frequency (iii) Frequency (iv) Time period (v) Initial phase [Displacement is measured in metres and time in seconds]

A simple harmonic motion is represented by F(t)=10sin(20t+0.5) . The amplitude of the S.H.M. is

A simple harmonic motion is represented by : y = 5(sin 3pi t + sqrt(3) cos 3pi t)cm The amplitude and time period of the motion are :

A simple harmonic motion is represented by x(t) = sin^(2)omega t - 2 cos^(2) omega t . The angular frequency of oscillation is given by

A simple harmonic motion is represented by the equation, y = 5 sin pi(t+4) . Then the values of amplitude A and initial phase prop are respectively.

The equation of a simple harmonic motion is given by y=6 sin 10 pi t+8 cos 10 pi cm and t in sec. Determine the amplitude, period and initial phase.

A simple harmonic motion is represented by x(t) = sin^2 omegat - 2 cos^(2) omegat . The angular frequency of oscillation is given by

A simple harmonic motion is represented by : y=59sin3pit+sqrt(3)cos3pit)cm The amplitude and time period of the motion by :

A simple harmonic travelling wave is represented by y=50sinpi(20t-0.08x) is SI units. Find its amplitude, time period and wavelength. Also, calculate maximum particle velocity.