Question

Particle is executing shm completes 300 oscillations in 2.5 min.It's maximum acceleration is 314 m/s^2.Calculate frequency,time period,and maximum velocity?

Answer 1

complete occilation =300

time t=2.5= 150 sec

Max. acceleration =314 m/sec^

frequency =?

Max. velocity =?

time period =?

time period T = 300/150= 2 sec.

Max. velocity =

$aw { }^{2} = a \times 4 \pi {}^{2} \div t {}^{2} \\ = 0.5503 \frac{m}{s}$

.ferquency =1/T

= 1/150

= 0.00667/sec