Tuning the Waves. You and your team are designing a system that allows you to control the speed of a transverse wave on a thin tungsten wire by adjusting its tension with a spring. One end of the wire is connected to an inner wall of a large wooden crate and the other end to one side of a spring. The opposite side of the spring is then connected to a screw that is mounted on the opposite wall of the crate. The screw can then be adjusted to stretch the spring, and therefore adjust the tension in the wire. The uniform tungsten wire is 75.6 cm long and has a mass of 3.15 x 103 kg. The spring has an unstretched length of 11.0 cm and a spring constant k = 280.0 N/m. In the lowest possible tension setting of the screw, that is, that which stretches the spring the least, the spring is stretched by 0.500 cm from its equilibrium position. The screw can be turned to stretch it an additional 2.75 cm. What are (a) the highest and (b) the lowest attainable speeds of transverse waves that can travel on the wire with this setup? You can neglect any stretching of wire.

Tuning the Waves. You and your team are designing a system that allows you to control the speed of a transverse wave on a thin tungsten wire by adjusting its tension with a spring. One end of the wire is connected to an inner wall of a large wooden crate and the other end to one side of a spring. The opposite side of the spring is then connected to a screw that is mounted on the opposite wall of the crate. The screw can then be adjusted to stretch the spring, and therefore adjust the tension in the wire. The uniform tungsten wire is 75.6 cm long and has a mass of 3.15 x 103 kg. The spring has an unstretched length of 11.0 cm and a spring constant k = 280.0 N/m. In the lowest possible tension setting of the screw, that is, that which stretches the spring the least, the spring is stretched by 0.500 cm from its equilibrium position. The screw can be turned to stretch it an additional 2.75 cm. What are (a) the highest and (b) the lowest attainable speeds of transverse waves that can travel on the wire with this setup? You can neglect any stretching of wire.