Question

Review | Constants Periodic Table The ultrasonic transducer used in a medical ultrasound imaging device is a very thin disk (m=0.10 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil. Part A The maximum restoring force that can be applied to the disk without breaking it is 41,000 N. What is the maximum oscillation amplitude that won't rupture the disk? Express your answer with the appropriate units. НА ? A= Value Units Submit Request Answer y Part B What is the disk's maximum speed at this amplitude? Express your answer with the appropriate units. μΑ ? Umax Value Units Submit Request Answer Provide Feedback Next >

Answer 1

Son 41,00 ON Here it is given that m = 0.10 g f = 1.0 MHz Emax Now using the equation for the displacement of the oscillator i.e. x(t) - A cos (wt+6) =d²x x = -w² A cos (wt + s) then acc dt² a max = A 27 (-i) Also If = mal _ ii) then from ci) and (ii) f mwa m141²f2) putting the values we get. 21 €) (since w= F A = A= 41ooo -6 10.386 X 1o meters (a) 4 T² x 10-4x (106)2 Any as the (6) The maximum speed is found in the same way acceleration sued Umax = Aw A 2 TF A 2x 3.1416x 106 x 10.38 6x10-6 165.257 m/s. -