Question

In: Physics

A wave in string of linear density 0.13 g/m is given by the equation y(x,t)=0.018 sin...

A wave in string of linear density 0.13 g/m is given by the equation y(x,t)=0.018 sin (5.64x-6.03 t) in SI units. Calculate the tension in the string.

Solutions

Expert Solution

Term used in solution: A =amplitude of wave (meter)

k=wave vector(meter-1)

  omega (w)=angular velocity of wave (second-1)

ANSWER; Tension(T)=1.49 x 10-4 NEWTON


Related Solutions

The equation of a transverse wave on a string is y=(5mm)Sin[(10m-1)x+(200s-1)t]. The tension in the string...
The equation of a transverse wave on a string is y=(5mm)Sin[(10m-1)x+(200s-1)t]. The tension in the string is 50 N. (a) What is the wavelength of the wave? (b) What is the frequency of the wave? (c) What is the speed of the wave? (d) Find the linear density of this string.
The wave function for a harmonic wave on a string is y(x, t) = (0.0010 m)...
The wave function for a harmonic wave on a string is y(x, t) = (0.0010 m) sin((69.8 m-1)x + (309 s-1)t). (a) In what direction does this wave travel? +x-x     What is its speed? m/s (b) Find the wavelength of this wave. m Find its frequency. Hz Find its period. s (c) What is the maximum speed of any string segment? m/s
A wave in a string has a wave function given by: y (x, t) = (0.0300m)...
A wave in a string has a wave function given by: y (x, t) = (0.0300m) sin [(5.35 m^-1) x + (1.63 s^-1) 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) wavelength of the wave d) the speed of the wave
The wave function of a standing wave is y(x,t)=4.44mm sin[(32.5rad/m)x]sin[(754rad/s)t] For the two traveling waves that...
The wave function of a standing wave is y(x,t)=4.44mm sin[(32.5rad/m)x]sin[(754rad/s)t] For the two traveling waves that make up this standing wave A) Find the wave function B) Find what harmonic it is C) find wave speed
a transverse wave with an equation delta(y) = (1.30 mm)sin[(16.81 m^-1)x + (3613 s^-1)t] is created...
a transverse wave with an equation delta(y) = (1.30 mm)sin[(16.81 m^-1)x + (3613 s^-1)t] is created on a guitar string of length 0.700 m. Plucking the string creates a pleasing tone that travels at 435 m/s away from the guitar. a) what is the velocity of the wave on the string b) what is the wavelength of the wave c) what is the frequency of the wave d) if the tension on the string was increased by a factor 4,...
A wave on a string is described by y(x,t)=( 4.0 cm )×cos[2π(x/( 2.4 m )+t/( 0.30...
A wave on a string is described by y(x,t)=( 4.0 cm )×cos[2π(x/( 2.4 m )+t/( 0.30 s ))] , where x is in m and t is in s. Part B What is the wave speed? Express your answer in meters per second. Part C What is the wave frequency? Express your answer in hertz. Part D What is the wave length? Express your answer in meters. Part E At t = 0.75 s , what is the displacement of...
Convert x=cos(3t)+sin(3t) & y=cos(t)-sin(t) into an equation of x-y form (cartesian equation). Thank you
Convert x=cos(3t)+sin(3t) & y=cos(t)-sin(t) into an equation of x-y form (cartesian equation). Thank you
A mechanical wave is given by the equation: y(x,t) = 0.5 cos (62.8x – 15.7t) ,...
A mechanical wave is given by the equation: y(x,t) = 0.5 cos (62.8x – 15.7t) , Find: (1) Amplitude, frequency, wavelength? (2) The velocity of the wave? (3) The maximum velocity of the vibrations? (4) Write down the equation in the opposite direction?
A sinusoidal wave in a string is described by the wave function y = 0.155 sin...
A sinusoidal wave in a string is described by the wave function y = 0.155 sin (0.525x - 46.5t) where x and y are in meters and t is in seconds. The mass per length of the string is 13.2 g/m. (a) Find the maximum transverse acceleration of an element of this string. (b) Determine the maximum transverse force on a 1.00-cm segment of the string. (c) State how the force found in part (b) compares with the tension in...
Given the equation: sin(x+y)=x+cos(y) a) Differentiate y with respect to x b) Give the equation of...
Given the equation: sin(x+y)=x+cos(y) a) Differentiate y with respect to x b) Give the equation of the line tangent to the curve of at the point (0,π/4)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT