# Physics

posted by .

The tension in a 2.6-m-long, 1.1-cm-diameter steel cable (ρ = 7800 kg/m3) is 860 N. What is the fundamental frequency of vibration of the cable?

I know that I'm going to use the formula:
f=nsqrt(T/4L^2u)
However, I'm not sure how to get the u for this equation. Any help is appreciated.

• Physics -

You need to find the mass of the cable and divide it by the length to get the mass per unit length.
Volume of cable = pi r^2 L
Mass of cable = pi r^2 L * 2.6
so
mass/length = 7800 * pi * (.011)^2

• Physics -

Thank you! I was able to figure out the correct answer. However, in this case shouldn't (.011^2) be (.011/2)^2?

## Similar Questions

1. ### Physics

A tow truck is pulling a car out of a ditch by means of a steel cable that is 10.2 m long and has a radius of 0.50 cm. When the car just begins to move, the tension in the cable is 870 N. How much has the cable stretched?
2. ### Physics

A cable is lifting a construction worker and a crate, as the drawing shows. The weights of the worker and crate are 961 and 1540 N, respectively. The acceleration of the cable is 0.620 m/s2, upward. (a) What is the tension in the cable …
3. ### Physics

A ski gondola is connected to the top of a hill by a steel cable of length 620 m and diameter 1.5 cm. As the gondola comes to the end of its run, it bumps into the terminal and sends a wave pulse along the cable. It is observed that …
4. ### Physics

A mas of 100 Kg hangs from a cable secured to a steel pole and supported by another cable as shown below. Find the tension (T) in the support cable and the force (F) on the steel pole.
5. ### physics

The tension in a 2.8-m-long, 1.2-cm-diameter steel cable (ρ = 7800 kg/m3) is 825 N. What is the fundamental frequency of vibration of the cable?
6. ### Physics

A tow truck is pulling a car out of a ditch by means of a steel cable that is 9.3 m long and has a radius of 0.50 cm. When the car just begins to move, the tension in the cable is 1070 N. How much has the cable stretched?
7. ### physics

A strip of rubber originally 75 mm long is stretched until it is 100 mm long. a.What is the tensile strain b.Why has the answer no units?
8. ### Physics

a 10m long steel cable is lifting a 30 ton crate upward off a ship. If the cable streches by .5cm under these conditions, determine the radius of the steel cable. Young's modulus of steel :2x10raised to 9 Pa
9. ### Physics

A mineshaft has an elevator hung from a single steel-wire cable of diameter 2.5 cm. Young's modulus of the cable is 10×1010N/m2. When the cable is fully extended, the end of the cable is 500 m below the support. How much does the …
10. ### PHYSICS

A tow truck is pulling a car out of a ditch by means of a steel cable (Y = 2.0 x 1011 N/m2) that is 9.73 m long and has a radius of 0.550 cm. When the car just begins to move, the tension in the cable is 859 N. How much has the cable …

More Similar Questions