Physics, 21.10.2020 16:01 raywils0n12300p0t3yc
Under the assumption that the beam is a rectangular cantilever beam that is free to vibrate, the theoretical first natural frequency of the beam in terms of the length, L, width, b, thickness, h, density, p, and Young's Modulus, E, in Hertz is given by:
fn= h/2πL^2 √E/rho
The density of steel used in the beam is 7800 kg/m^3, and its Young's Modulus is 210 GPa. You measure the dimensions of the clamped steel beam with a set of calipers and gather the following data:
L = 233.5 mm, b = 24.9 mm, h = 3.3 mm
The calipers used to measure the dimensions of beam have a resolution of 0.01 mm and therefore have an uncertainty of +0.005 mm.
Required:
a. What is the uncertainty of the natural frequency (in Hz) due to the uncertainty of the length measurement?
b. What is the uncertainty of the natural frequency (in Hz) due to the uncertainty of the width measurement?
c. What is the uncertainty of the natural frequency (in Hz) due to the uncertainty of the thickness measurement?
d. What is the total uncertainty of the natural frequency due to the beam measurements (in Hz)?
e. What is the theoretical first natural frequency of the beam including the measurement uncertainty?
Answers: 2
Physics, 21.06.2019 21:50
Which of the following is a homogenous mixture? o a. a toy box filled with toys o b. blood o c. trail mix o d. spaghetti and meatballs submit
Answers: 2
Physics, 22.06.2019 03:00
Which of the following is not a part of the respiratory system? a. pharynx b. trachea c. pancreas d. larynx
Answers: 1
Physics, 22.06.2019 05:40
The difference between a red shift and a blue shift has to do with wavelength frequency. t or f
Answers: 1
Physics, 22.06.2019 12:00
The mass of a bowling ball is 10 kg and the mass of a ping pong ball is 0.015 kg. if the two objects are 5 meters apart, what is the gravitational force ?
Answers: 1
Under the assumption that the beam is a rectangular cantilever beam that is free to vibrate, the the...
Chemistry, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09
History, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09
Social Studies, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09
Mathematics, 17.04.2020 18:09