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Author Question: The time P required for a spring-mass system to complete one full oscillation can be expressed in ... (Read 55 times)

penza

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on: Jul 29, 2018
The time P required for a spring-mass system to complete one full oscillation can be expressed in terms of the attached mass m and the spring constant of the spring k in the form P = kmbkc, where k, b, and c are dimensionless constants.
 
  What must be the values of b and c? The dimensions of k are M/T2.

Question 2

The speed v of sound waves in a gas can be expressed in terms of the pressure p and the density  (mass per unit volume) of the gas, as v = apbc, where a, b, and c, are dimensionless constants. The dimensions of pressure are M/LT2.
 
  What must be the values of b and c?


zenzy

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Reply #1 on: Jul 29, 2018
Answer to Question 1

b = 1/2, c = -1/2

Answer to Question 2

b = 1/2, c = -1/2


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