Question

a. Find the speed of a wave on a string given by y(x,t)=(3.00 mm) sin [(7.0/s)t -(4.00/m)x) ]

. b. What can you do to increase the speed of the wave?

c. What is the vertical speed of the string at a point located 0.2m away from the origin at time 0.3s?

d. A wave given by y(x,t)=(3.00 mm) sin [(7.0/s)t -(4.00/m)x+pi/2 ] is created on another identical string. What is different and what is the same in these two waves? Describe as completely as possible.

Answer #1

Ans:-

y(x,t)=(3.00 mm) sin [(7.0/s)t -(4.00/m)x) ]

a]v = w/k

w=7/s, k=4/m

v= 7/4 =1.75m/s

b]as wavelength increase so wave number decrease

speed of wave also increases

c] y(x,t)=(3.00 mm) sin [(7.0/s)t -(4.00/m)x) ]

u = dy/dt = (3.00mm) cos[(7.0/s)t – (4.00/mx)]*7

x=0.2m, t= 0.3s

u= 3.*10^-3 *7 cos(7*0.3 – 4*0.2)

u=21*10^-3*0.9997

u= 0.021m/s

d]These waves have the same angular frequency w and thus same frequency f, same angular wave number k and same wavelength and same amplitude ym, thay have same speed, thay travel same direction. They differ by constant angle π/2 which we call phase constant. These waves are said to be out of phase by π/2

A transverse wave on a string is described by y(x, t) = (0.420
mm) sin {(2.847 rad/m)[x − (66.0 m/s)t]}. What is the maximum
transverse speed of a point on the string? Answer is in mm/s

the equation of a transverse wave traveling in a string is given
by y=a sin(k x??t). the tension in the string is 20.0 n, a = 2 mm,
k = 30 rad/m, ? = 850 rad/s. what is the wave speed? what is the
linear density of the string?

A transverse wave on a string is described by y(x, t) = (0.140
mm) sin {(5.747 rad/m)[x − (69.8 m/s)t]}.
Find the wavelength of this wave. in m
Find the frequency of this wave. in Hz Find the amplitude of
this wave in mm
Find the speed of motion of the wave in m/s
Find the direction of motion of the wave.
Express your answer as "+x" or "-x".

A wave in a string has a wave function given by: y (x,
t) = (0.0200m) sin [(6.35 m) x + (2.63 s) t] where t is expressed
in seconds and x in meters. Determine: a) the amplitude of the wave
b) the frequency of the wave c) distance of wave of the wave d) the
speed of the wave

The wave function for a traveling wave on a taut string is (in
SI units) y(x,t) = 0.380 sin (5πt − 4πx + π 4)
(a) What are the speed and direction of travel of the wave?
speed
________ m/s direction(positive-x, positive-y, positive-z,
negative-x, negative-y, negative-z)
(b) What is the vertical position of an element of the string at
t = 0, x = 0.120 m?
_______m
(c) What is the wavelength of the wave?
_______m
(d) What is the...

A wave on a string has a wave function given by: y (x, t) =
(0.300m) sin [(4.35 m^-1 ) x + (1.63 s^-1 ) t] where t is expressed
in seconds and x in meters. Determine: (10 points) a) the amplitude
of the wave b) the frequency of the wave c) wavelength of the wave
d) the speed of the wave

If
y(x,t)=(6.1mm)sin(kx+(505 rad/s)t+?) describes a wave traveling
along a string, how much time does any given point on the string
take to move between displacements y=-2.0 mm and y =+2.0mm?

A standing wave on a string fixed at both ends is described by
y(x,t)=2 sin((π/3)x)cos((π/3)t), where x and y are given in cm and
time t is given in s. Answer the following questions
a) Find the two simplest travelling waves which form the above
standing wave
b) Find the amplitude, wave number, frequency, period and speed of
each wave(Include unit in the answer)
c) When the length of the string is 12 cm, calculate the distance
between the nodes...

The function y(x,t) = 0.3 sin( 2 π t -2 π x + π /4) represents
the vertical position of an element of a taut string upon which a
transverse wave travels. This function depends on the horizontal
position along the string, x, and time, t. y and x are in units of
meters and t is in units of seconds. Do not use symbols in any of
your answers below. Only use integers or decimals.
a. Determine the angular...

A wave on a string is described by
D(x,t)=(2.4cm)×
sin[2π(x/(4.8m)+t/(0.22s)+1)], where
x is in m and t is in s.
A.) In what direction is this wave traveling?
B.) What is the wave speed? _ m/s

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 9 minutes ago

asked 10 minutes ago

asked 22 minutes ago

asked 29 minutes ago

asked 31 minutes ago

asked 32 minutes ago

asked 32 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago