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posted by  PhysFL on 11/7/2009 10:01:20 AM  |  status: Closed  |  Earned Karma: 50

Amplitude

Course Textbook Chapter Problem Needs by
Calculus Based Physics Principles of Physics (3rd) by Serway, Jewett N/A N/A 11/12/2009 at 8:00:00 PM
Question Details:
A vibrating source generates a harmonic wave on a string under constant tension. If the power delivered to the string is doubled, by what factor does the amplitude change?

A)4
B)2
C)1.41
D)no change
E)0.5

Hint:

The power is proportional to vA2.  If the tension is constant the speed is constant.  Therefore to double the power we have to double A2.
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(SME)
posted by christina.S on 11/7/2009 10:10:54 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
We know that :
.
           The power (P)  is proportional to  VA2. 
.
           Where  V  =  Velocity  ;  A  =  Amplitude
.
           If the tension is constant the speed is constant. 
.
           Therefore to double the power we have to double A2.
.
            Hence answer is :    B)  2
.
Hope this helps u!
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