physics
posted by Brienne .
A 5.9 m wire with a mass of 79 g is attached to the mast of a sailboat. If the wire is given a "thunk" at one end, it takes 0.087 s for the resulting wave to reach the other end.
1. What is the tension in the wire?
2. Calculate the tension for a 89g wire.

I don't know how to begin this problem, because I don't know how to go about tension in regards to waves. I only ever used tension in the T=m*g format before. And I'm sure I could figure out part 2 if I knew how to do part 1. Thank you for any help!

1. The wire tension can be derived from the wave speed, which is
V = 5.9/0.087 = 67.8 m/s,
and the mass per unit length of wire,
sigma = 0.079/5.9 = 1.338*10^2 kg/m
Now solve the wave speed equation
V = sqrt(T/sigma)
to get the tension in N
T = V^2*sigma = 61.5 N
2. Use the same formulas with a different wire mass. 
Thank you so much!
Respond to this Question
Similar Questions

College Physics
One end of a 14 m long wire having a total mass of .8000 kg is fastened to a fixed support in the ceiling, and a 7.50 kg object is hung from the other end. If the wire is struck a transverse blow at one end, how much time does the … 
physics
A wire of uniform linear mass density hangs from the ceiling. It takes 0.82 s for a wave pulse to travel the length of the wire. How long is the wire? 
physics
A 5.2 m wire with a mass of 86 g is attached to the mast of a sailboat. If the wire is given a "thunk" at one end, it takes 0.085 s for the resulting wave to reach the other end. Part A What is the tension in the wire? 
Waves & Tension
A 5.9 m wire with a mass of 79 g is attached to the mast of a sailboat. If the wire is given a "thunk" at one end, it takes 0.087 s for the resulting wave to reach the other end. 1. What is the tension in the wire? 
algebra
a piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. the distance along the ground from the bottom of the pole to the end of the wire is 4 feet greater than the height where the wire is attached to the pole. … 
Physics
A 2.2m of steel wire hangs vertically down from a support. A 1.5m length of brass wire of the same diameter is attached to the lower end of the steel wire.when a 10 kg mass is attached to the lower end of the brass wire a total extension … 
Physics
A horizontal wire is held taut by a mass M hanging from its end over a pulley. A harmonic wave of wavelength is produced on the wire by a 52 Hertz vibration. If the mass of the density of the wire is 8.0 x 10^3 kg/m, what is M? 
Physics
A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.1 kg and the sign has a mass of ms = 16.4 kg. The length of the beam is L = 2.83 m. The sign is attached at the very end of the beam, but the horizontal … 
Physics
A purple beam is hinged to a wall to hold up a blue sign. The beam has a mass of mb = 6.7 kg and the sign has a mass of ms = 17.4 kg. The length of the beam is L = 2.83 m. The sign is attached at the very end of the beam, but the horizontal … 
help me maths anyone
A vertical radio mast is supported by 3 equal wires.One end of each wire is fixed to the top of the mast and the other ends form an equilateral triangle on horizontal ground.If the length of each wire is twice the height of the mast,find …