Question

The acceleration of a piston is given by : rw^2 cos(wt-pi/4) find amplitude.

Answer 1

Given :

The acceleration of a piston is given by :

$a=r\omega^2cos\ (\omega t-\dfrac{\pi}{4})$

To Find :

The amplitude of the acceleration of piston .

Solution :

Now , acceleration is :

$a=r\omega^2cos\ (\omega t-\dfrac{\pi}{4})$

Now , amplitude is maximum of any function .

So , maximum value of $cos\ \theta$ is equal to 1 .

Therefore , amplitude of the acceleration of piston is :

$A=r\omega^2$

Hence , this is the required solution .