The equation of simple harmonic motion of a particle is a+4π 2x=0 where a is the instantaneous linear acceleration at displacement x . The frequency of motion is

Question

The equation of simple harmonic motion of a particle is a+4π 2x=0 where a is the instantaneous linear acceleration at displacement x . The frequency of motion is (A) 1Hz (B) 4π Hz (C) (1/4)Hz (D) 4Hz

Tardigrade Admin · Accepted Answer

Comparing a+4π 2x=0 with standard equation of simple harmonic motion a+ω 2x=0 ω 2=4π 2,ω =2π 2π n=2π ,n=1Hz

Q. The equation of simple harmonic motion of a particle is $a + 4 π^{2} x = 0$ where $a$ is the instantaneous linear acceleration at displacement $x$ . The frequency of motion is

$1 Hz$

$4 π Hz$

$\frac{1}{4} Hz$

$4 Hz$

Comparing $a + 4 π^{2} x = 0$ with standard equation of simple harmonic motion $a + ω^{2} x = 0$
$ω^{2} = 4 π^{2}, ω = 2 π$
$2 πn = 2 π, n = 1 Hz$

Q. The equation of simple harmonic motion of a particle is a+4π2x=0 where a is the instantaneous linear acceleration at displacement x . The frequency of motion is

1Hz

4πHz

41​Hz

4Hz