The maximum speed of a particle executing SHM is $1 m s^{- 1}$ and maximum acceleration is $1.57 m s^{- 2}$ . Its frequency is

Question

The maximum speed of a particle executing SHM is 1 m-s and maximum acceleration is 1-57m-s-2- Its time period is1s4s2s3s

Toppr Admin · Accepted Answer

Maximum speed-xA0- -xA0- -xA0-V-AwSo-xA0- -xA0- -xA0-1-AwAlso- maximum acceleration-xA0- -xA0-a-Aw2So-xA0- -xA0- 1-57-Aw2Or-xA0- -xA0- 1-571-Aw2Aw-x27F9-xA0-w-1-57So-xA0- -xA0- -xA0-2-x3C0-T-1-57-x27F9-xA0-T-2-x3C0-1-57-4-xA0-s

The maximum speed of a particle executing $S H M$ is $1 m / s$ and maximum acceleration is $1.57 m / s^{2}$ . Its time period is
$1 s$
$4 s$
$2 s$
$3 s$

Maximum speed $V = A w$
So, $1 = A w$
Also, maximum acceleration $a = A w^{2}$
So, $1.57 = A w^{2}$
Or $\frac{1.57}{1} = \frac{A w^{2}}{A w}$
$⟹ w = 1.57$
So, $\frac{2 π}{T} = 1.57$
$⟹ T = \frac{2 π}{1.57} = 4 s$

The maximum speed of a particle executing SHM is 1 m/s and maximum acceleration is 1.57m/s2. Its time period is1s4s2s3s

Maximum speed V=AwSo, 1=AwAlso, maximum acceleration a=Aw2So, 1.57=Aw2Or 1.571=Aw2Aw⟹ w=1.57So, 2πT=1.57⟹ T=2π1.57=4 s

The maximum speed of a particle executing $S H M$ is $1 m / s$ and maximum acceleration is $1.57 m / s^{2}$ . Its time period is
$1 s$
$4 s$
$2 s$
$3 s$

Maximum speed $V = A w$
So, $1 = A w$
Also, maximum acceleration $a = A w^{2}$
So, $1.57 = A w^{2}$
Or $\frac{1.57}{1} = \frac{A w^{2}}{A w}$
$⟹ w = 1.57$
So, $\frac{2 π}{T} = 1.57$
$⟹ T = \frac{2 π}{1.57} = 4 s$