Consider a wave on a string with constant tension. If the frequency of the wave is doubled, by what multiplication factor do the speed and wavelength change?

A string with a linear density of 2 kg/m is stretched to a length of 0.3 meters and fastened at both end so that it can freely vibrate. The tension on the string is 1800 Newtons.At what speed would a wave propagate on this string? (calculate in m/s)

The wave speed on a string is 150 m/s when the tension is 75.0 N. What tension will give a speed of 180 m/s?

When the tension in a cord is 98.4 N, the wave speed is 140 m/s. What is the linear mass density of the cord?

A wave with a wavelength of 35 cm and an amplitude of 1.2 cm moves along a 15m rope which has a mass of 80 grams and a tension of 12 N.g, calculate the power transmitted through a given point on the string!

Two children stretch a jump rope between them and send wave pulses back and forth on it. The rope is 4.9 m long, its mass is 0.58 kg, and the force exerted on it by the children is 53 N. (a) What is the linear mass density of the rope (in kg/m)?  kg/m (b) What is the speed of the waves on the rope (in m/s)?  m/s

The third harmonic frequency of a standing wave is 285 Hz on a string of length 73 cm that is bound at the two ends and is under tension. What is the speed of traveling waves on this string?

A wave, propagating along the x direction according to Equation (x, t) = A sin(kx - vt + f) , has a maximum displacement of 4.0 cm at x = 0 and t =0. The wave speed is 5.0 cm/s, and the wavelength is 7.0 cm. (a) What is the frequency? (b) What is the wave’s amplitude at x =10 cm and t =13 s?

The equation of a transverse wave traveling on a string is given by y = A sin(kx - wt). Data: A=11 mm, k=35 rad/m, w= 500 rad/s. 1) What is the amplitude? 2) What is the frequency? 3) What is the wave velocity? 4) What is the wavelength? 5) For the same wave, find the maximum transverse speed of a particle in the string.

A steel cable with total length 53 m and mass 120 kg is connected to two poles. The tension in the cable is 1,578 N, and the wind makes the cable vibrate with a frequency of 2 Hz. Calculate the wavelength of the resulting wave on the cable.