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.

Expert Solution

genius_generous answered 2 years ago

1 The equation of a transverse wave on a string is ? = (2.0 ?) sin(20?...

1 The equation of a transverse wave on a string is ? = (2.0 ?) sin(20? − 600?). What is the wave speed of the wave and the linear density of the string if it has a tension of 15 ?? 2 A block is in simple harmonic motion on the end of a spring with its position given by ?(?) = ? cos(?? + ?). If ? = ?/5 ???, then at ? = 0 ? what percentage of...

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,...

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

Convert x=cos(3t)+sin(3t) & y=cos(t)-sin(t) into an equation of x-y form (cartesian equation). Thank you

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...

The wave function for a traveling wave on a taut string is (in SI units) y(x,t)...

The wave function for a traveling wave on a taut string is (in SI units) y(x,t) = 0.375 sin (14pt - 2px + p/4) (a) What are the speed and direction of travel of the wave? speed _____ m/s direction_________ (positive x-direction, positive y-direction, positive z-direction, negative x-direction, negative y-direction, negative z-direction) (b) What is the vertical position of an element of the string at t = 0, x = 0.178 m? ________m (c) What is the wavelength of the...

The equation of a transverse wave travelling along a very long string is ? = 0.06???(2??...

The equation of a transverse wave travelling along a very long string is ? = 0.06???(2?? − 4??). The string has a linear density of 0.025 kg/m. Determine: (a) the direction of the wave. (b) the wavelength, frequency and wave velocity. (c) the displacement y for the string particle at x = 0.035 m at time t = 0.26 s. (d) the maximum speed of a string particle.(e) the tension in the string. Sketch the wave on the string at...

The function of a wave for a wave over a tense rope is y(x,t)=(0.350m)sin (10πt -3πx...

The function of a wave for a wave over a tense rope is y(x,t)=(0.350m)sin (10πt -3πx + π/4) Where "x" is in meters and "t" in seconds. determine A) Amplitud of the wave B) Long of the Wave C) Number of the wave D) The period E) The frecuency F) Angular frecuency G) Velocity of the Wave

A transverse sinusoidal wave on a string has a period T = 27.0 ms and travels...

A transverse sinusoidal wave on a string has a period T = 27.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 2.00 m/s. What is the phase constant? in rad Write the wave function for the wave. (Use the form Asin(kx + ωt + ϕ). Round...

Question