An object is undergoing simple harmonic motion with frequency f = 3.5 Hz and an amplitude of 0.15 m. At t = 0.00 s the object is at x = 0.00 m. How long does it take the object to go from x = 0.00 m to x = 4.00×10−2 m.

Time taken by the object is 0.012 s .

Explanation:

Given :

Frequency , f = 3.5 Hz .

Amplitude , A = 0.15 m .

At time t = 0 , x = 0 m.

Since , at time t = 0 , x = 0 m .

Therefore , equation of displacement is :

    ...equation 1.

Here , is angular frequency and is given by :

We need to find the time at which its displacement is ,

Putting all these value in equation 1 we get ,

Hence , this is the required solution.

explanation: in any substance/object, the particles inside it (atoms/molecules) constantly move in random directions and with random speeds (this motion is called brownian motion). as a result, the particles have some kinetic energy (which is proportional to the temperature of the substance).

explanation:

have a great day!

compass can be used day and night, cloudy or sunny