Question

A wave is described by the equation y = (1.0 mm) sin pi((x)/(2.0 cm) - (t)/(0.01 s)). (a) Find time period and wavelength. (b) Find the speed of particle at x = 1.0 cm and time t = 0.01 s. ( c ) What are the speed of the partcle at x = 3.0 cm, 5.0 cm and 7.0 cm at t = 0.01 s? (d) What are the speeds of the partcle at x =1.0 cm at t = 0.011 , 0.012 and 0.013 s?

Answer 1

Here is your answer:

Explanation:

(a) :. T=2π/ω=2π/ π/0.01=0.02s

=20ms

λ=2π/k=2π/π/2

=4.0cm

(b) vP=∂y/ ∂x

=(−π/ 0.01 x mm/s)cosπ(x/2.0cm−t/0.01s)

=(−π/10m/s)cosπ(x/2.0cm−t/0.01s)

Put x=1cm and t=0.01s in above equation

We get,

vP=0

( c ) and (d) Putting the given values in the above equation, we get the answer.