A simple harmonic oscillator has a time period of 10 seconds. Which equation rotates its acceleration 'a' and displacement 'x'?
Correct answer: C. a = -(2π/10)2 x
- A. a = -2 x
- B. a = -(20π)x
- C. a = -(2π/10)2 x
- D. a = -(20π)2 x
Explanation
The motion of a simple harmonic oscillator can be described by the following equation:a = -ω2 * xwhere 'a' is the acceleration, 'x' is the displacement, and ω is the angular frequency of the oscillator.The time period of the oscillator is given by:T = 2π/ωwhere 'T' is the time period.In this case, the time period is given as 10 seconds. Therefore, we can find the angular frequency as:ω = 2π/ T = 2π /10 =π/5Substituting this value of ω in the equation of motion, we get:a = - (π /5)2 * xSimplifying, we get:a = - (2π /10)2 * xTherefore, the correct option is C) a = - (2π / 10)2 * x
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
Practise Waves
1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Simple Harmonic Motion questions
What should be the ratio of kinetic energy to total energy for simple harmonic oscillator?
What should be the length of a simple pendulum whose period is 6.28 seconds at a place where g = 10 ms-2?
The direction of the restoring force is always towards _.
What is the period of the mass-spring system during SHM if the ratio of mass to spring constant is ¼?
The waveform of SHM is given in the figure. At what time/times displacement is equal to zero?
Food being cooked in a microwave oven is an example of :