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posted by  NDFLBO on 11/7/2009 9:57:39 AM  |  status: Closed  |  Earned Karma: 50

Wave Speed

Course Textbook Chapter Problem Needs by
Calculus Based Physics Principles of Physics (3rd) by Serway, Jewett N/A N/A 11/11/2009 at 8:00:00 PM
Question Details:
By what factor would you have to increase the tension in a taut string in order to double the wave speed?

A)4
B)2
C)1.41
D)You must decrease the tension.
E)You cannot change the wave speed on a string.

Hint:

v = (T/m)1/2.

2v = 2(T/m)1/2 = (4T/m)1/2.
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posted by Nick9 on 11/7/2009 10:10:09 AM  |  status: Live
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Response Details:
  Given :
  By what factor would you have to increase the tension in a taut string in order to double the wave speed?
  A) 4
  v = (T/m)1/2.
2v = 2(T/m)1/2 = (4T/m)1/2.
  From the above relation if Tention is incraces by 4 times, then the wave speed becomes twice.
 I hope it helps you
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Karma Points: 75,654
posted by watt (MNK) on 11/7/2009 10:10:10 AM  |  status: Live
Asker's Rating: Helpful   
Response Details:
wave speed  v = √[ T / μ]
where  T = tension
          μ = linear density
from above v α √T
          ( v ' / v ) = √[ T ' / T ]
           ( 2v / v ) = √[ T ' / T ]
                     4 = T ' / T
final tension  T ' = 4T    
i.e., tension is increased by 4 times
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