An ultrasonic transducer, of the type used in medical ultrasound imaging, is a v

Question

An ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk ( m = 0.20 g ) driven back and forth in SHM at 1.0MHz by an electromagnetic coil.

A: The maximum restoring force that can be applied to the disk without breaking it is 4.0×104 N . What is the maximum oscillation amplitude that won't rupture the disk?

Express your answer to two significant figures and include the appropriate unit.

B: What is the disk's maximum speed at this amplitude?

Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

A] In normal SHM, k*A = F

mw^2 A = 4E4 and w=2pi*f

A = 4E4/[0.2e-3*(2pi*1e6)^2] = 0.0000051 m answer

B] maximum speed v = wA = 0.0000051*2pi*1e6 = 32 m/s answer

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