An acoustical pulse travels to the right inside a hollow tube at speed v = 100 m/s. At t = 0 the pressure variation caused by the pulse is given by the function e-(x²/4) 1+x6 p= сos(x) Ра, where x is in meters. (i) Determine a formula for the pulse's pressure at any time t > 0. (ii) Find the pressure of the pulse of the point x = 1 m at time t = 10 ms. (iii) Repeat part (ii) assuming that the pulse is moving to the left.
An acoustical pulse travels to the right inside a hollow tube at speed v = 100 m/s. At t = 0 the pressure variation caused by the pulse is given by the function e-(x²/4) 1+x6 p= сos(x) Ра, where x is in meters. (i) Determine a formula for the pulse's pressure at any time t > 0. (ii) Find the pressure of the pulse of the point x = 1 m at time t = 10 ms. (iii) Repeat part (ii) assuming that the pulse is moving to the left.
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it is a waves and optics course and the answers should appear with values and numbers and explanation, not only explanation
thank you
Transcribed Image Text:An acoustical pulse travels to the right inside a hollow tube at speed v = 100 m/s. At t = 0 the
pressure variation caused by the pulse is given by the function
e-(x²/4)
1+x6
p=
соs(лx) Ра,
where x in meters. (1) Determine a formula for the pulse's pressure at any time t > 0. (ii) Find
the pressure of the pulse of the point x = 1 m at time t = 10 ms. (iii) Repeat part (ii) assuming that
the pulse is moving to the left.
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