Question

Find the maximum acceleration of a block which is oscillating with frequency 2 Hz and amplitude 50 cm.

• A. $78.8m/s^2$
• B. $100m/s^2$
• C. $50m/s^2$
• D. $40m/s^2$

Answer 1

The correct option is A

$78.8m/s^2$

The acceleration of the block under oscillation is given by
$a={\omega }^{2}x$
a will be max when x is max, i.e. at A

$a_{max}={\omega }^{2}A=4{\pi }^2{f}^{2}A$

$=4\times 9.86\times 4\times 0.5=78.8m/s^2$