5.58 PM v 4) D Ee 1/17/2016 MasteringPhysics: Assignment 1 Google Chrome https:/
ID: 250274 • Letter: 5
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5.58 PM v 4) D Ee 1/17/2016 MasteringPhysics: Assignment 1 Google Chrome https:// mastering physics.com assignment ProblemID 57228516 /myct/itemView P115w 16 Signed in as Carrie Yepez Help Close Assignmen 1 Problem 14.54. Resources previous l 9 of 19 l next Part A Problem 14.54 The maximum restoring force that can be applied to the disk without breaking it is 36,000 N. What is the maximum oscillation amplitude that won't rupture the disk? The ultrasonic transducer used in a medical Express your answer to two significant figures and include the appropriate units. ultrasound imaging device is a very thin disk (mE 0.10 g) driven back and forth in SHM at 1.0 MHz by an electromagnetic co AE Value Units Submit My Answers Give U Part B What is the disk's maximum speed at this amplitude? Express your answer to two significant figures and include the appropriate units. vmax Value UnitsExplanation / Answer
A)
given data
m = 0.1 g = 1*10^-4 kg
f = 1 Mz = 1*10^6 hz
F_max = 36000 N
Let A is the amplitude.
angular frequency, w = 2*pi*f
= 2*pi*1*10^6
= 6.38*10^6 rad/s
F_max = m*a_max
F_max = m*A*w^2
A = F_max/(m*w^2)
= 36000/(1*10^-4*(6.38*10^6)^2)
= 8.84*10^-6 m
B) Vmax = A*w
= 8.84*10^-6*6.38*10^6
= 56.4 m/s
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