Ultrasonic Ultrasound
Sep 10
2011
2011
Comments Off
physics review final help?
An ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk (m = 0.08 g) driven back and forth in SHM at 1.3 MHz by an electromagnetic coil.
(a) The maximum restoring force that can be applied to the disk without breaking it is 32,000 N. What is the maximum oscillation amplitude that won’t rupture the disk?
(b) What is the disk’s maximum speed at this amplitude
Since, F =-kx
x max = F/k
k =m.ω2 = m.4.π2f2
=0.14×10^-3 x4x3.14×3.14×10^6×10^6
= 5.527×10^9
Amplitude,
A = x max = F/k = 32000/5.527×10^9
= 5.79x 10^-6m =5.79 micrometers
Max speed,
vmax = ω.A = 2π.f.A
= 6.282 x10^6×5.79×10^-6
= 36.38 m/s
You will have to enter in your own numbers but this is the correct formula
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