Question

a wave travelling along a string os given by y(x,t)=0.005 sin(80x-2t) .where numerical values are in si units.calculate (1) frequency of the wave (2) velocity of the wave (3) aptitude of particle velocity's

Answer 1

y=0.005 sin (80x-2t)

compare above in standard equation of wave .
y=Asin (kx-wt)

A=0.005 m
K=80 m^-1
w=2 sec^-1
now,
1) we know ,
w=2pi.frequency
2=2 x 3.14 x frequency
frequency =1/3.14 Hz

2) velocity of wave =wavelength x frequency

K =80 =2pi/lemda
lemda =2pi/80

now velocity of wave =lemda x frequency
=2pi/80 x 1/pi=1/40 m/sec

3) velocity of particle = wA =2 x 0.005
=0.01 m/sec

Answer 2

Answer:

Explanation:

Hope it help u