a) 20 oscillations in 6.5 sAssalamu alaikum,
This question is about simple harmonic motion:
Q)A small mass attached to a spring oscillates with simple harmonic motion with amplitude of 35mm,taking 6.5s to make 20 oscillations.Calculate
a)it's angular frequencey,
b)it's maximum speed,
c)it's maximum acceleration.
Thanks in advance for your cooperation!
1 oscillation in 0.325s
time period = 0.325s
angular frequency = 2pie/time
= 2pie/0.325
= 19.33 rad/seconds
b) maximum speed = ang.frequency*max.amplitude
= 19.33*(35*10^-3)
= 0.67 m/s
c) max acceleration = [(ang.frequency)^2]*max.amplitude
= (19.33^2)*(35*10^-3)
= 13.1 m/s^2