roblem 14.42 Part A The maximum restoring force that can be applied to the disk

Question

roblem 14.42 Part A The maximum restoring force that can be applied to the disk without breaking it is 4.9x104 N. What is the maximum oscillation amplitude that won't rupture the disk? transducer, of the type used in medical ultrasound imaging, is a very thin disk (m 0.13 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil. Express your answer to two significant figures and include the appropriate units. | Amax= 1 Value Units SubmitMy Answers Give Up Incorrect; Try Again; 12 attempts remaining Submit Part 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

Since, F =-kx

            x max = F/k

          k =m.2 = m.4.2f2

             =0.13x10-3 x4x3.14x3.14x106x106

            = 51.27 x108

Amplitude,

            A = x max = F/k = 49000/51.28x108

                            = 9.557x 10-6m

=9.56 micron-m

Max speed,

            vmax = .A = 2.f.A

               = 6.282 x106x9.55x10-6

              = 59.97 m/s

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