Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
The speed of the wave whose wave equation :
y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] is 0.20 m/s
speed = 0.20 m/s
What is the speed of wave?
The wave equation is a linear second-order partial differential equation which describes the propagation of oscillations at a fixed speed in some quantity y.
The wave equation is given by:
y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] .......................(1)
As we know that the standard form of wave equation is of the form is
On Comparing it with equation (1)
we have,
angular number, k=20
and, angular frequency, ω=4.0 rad/s.
Thus, the speed of the wave is
v=[tex]\frac{\omega}{K}[/tex]
=[tex]\frac{(4.0 rad/s) }{(20 m^{-1}) }[/tex]
=0.20 m/s
The speed of the wave of the wave equation
y(x,t) =[tex](2.00 mm)[(20 m^{-1} )x - (4.0 s^{-1} ) t]^{0.5}[/tex] is 0.20 m/s
Learn more above wave equation here:
https://brainly.com/question/10715783
#SPJ4
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.