If at any instant of time the displacement of a harmonic oscillator is $0.02 m$ and its acceleration is $2 {ms}^{- 2}$ , its angular frequency at that instant will be

0.1 {rads}^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1 {rads}^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10 {rads}^{- 1}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

100 {rads}^{- 1}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $10 {rads}^{- 1}$
At any instant, neglecting the direction, we have, $a = ω^{2} x$ .
Substituting the given values, we get $ω = 10 r a d / s$ . Hence, option C is correct.

Suggest Corrections

Similar questions

If a simple harmonic oscillator has got a displacement of 0.02 m and acceleration equal to 2.0 $m s^{- 1}$ at any time, the angular frequency of the oscillator is equal to

Q. If at any time the displacement from mean position of a simple pendulum be

0.02 m

, then its acceleration is

2 m/s

. What is the angular frequency of the oscillation?

Q. Two simple harmonic motions of angular frequency

100 r a d s^{- 1}

and

1000 r a d s^{- 1}

have the same displacement amplitude. The ratio of their maximum acceleration is :

Q. A body oscillates simple harmonically with an amplitude of 0.05 m. At a certain instant of time its displacement is 0.01 m and acceleration is

1.0 m s^{- 1}

. What is the period of oscillation?

Q. If at any time the displacement from mean position of a simple pendulum be

0.02 m

, then its acceleration is

2 {m/s}^{2}

. What is the angular frequency of the oscillation?

Join BYJU'S Learning Program

If at any instant of time the displacement of a harmonic oscillator is 0.02 m and its acceleration is 2 ms−2, its angular frequency at that instant will be

The correct option is A 10 rads−1At any instant, neglecting the direction, we have, a=ω2x. Substituting the given values, we get ω=10rad/s. Hence, option C is correct.

If at any instant of time the displacement of a harmonic oscillator is $0.02 m$ and its acceleration is $2 {ms}^{- 2}$ , its angular frequency at that instant will be

The correct option is A $10 {rads}^{- 1}$
At any instant, neglecting the direction, we have, $a = ω^{2} x$ .
Substituting the given values, we get $ω = 10 r a d / s$ . Hence, option C is correct.