A string on a musical instrument produces waves with a frequency of 128 Hz. Two complete wavelengths of the waves are equal to the length of the string. The mass of the string is 7.5 g.
What is the ratio of the tension in the string to the length of the string?
What is the ratio of the speed of waves on the string to the length of the string?
Suppose that a length of cable could be suspended just above the ground and stretch all the way around the world, requiring a 40,030 km long cable. If the cable has a mass of 1.75 kg per meter of length and if waves travel along the entire length of the cable in exactly one day, what tension would be needed in the cable?
A thin copper cable and a thin aluminum cable are both oscillated, and waves propagate along them. The waves in the copper cable travel at 33.0 m/s and the waves in the aluminum cable travel at 55.0 m/s. Find the ratio of the tension in the copper cable to the tension in the aluminum cable. Use a value of 0.0149 kg/m for the linear mass density of copper and a value of 0.00472 kg/m for the linear mass density of aluminum.