Explanation Given data: The radius of the sound transducer (generator) ( r ) is 1.8 cm. Sound intensity produced by the sound transducer ( I ) is 5.9 × 10 3 W m 2 . Sound energy ( E ) is 4800 J. Formula used: Refer to the equation (16.8) in the textbook, and write the expression for sound intensity produced by the transducer as follows. I = P A (1) Here, P is the power from the sound transducer, and A is the area of the sound transducer. Refer to the equation (6.10b) in the textbook, and write the expression for power as follows. P = E t (2) Here, Q is the energy emitted by the sound transducer, and t is the time. As the transducer is the shape of circular, write the expression for area of the transducer as follows. A = π r 2 (3) Here, r is the radius of the transducer. Calculation of time required for the transducer to emit the energy of 4800 J ( t ) : From equation (2), substitute ( E t ) for P in equation (1), I = ( E t ) A = E A t From equation (3), substitute π r 2 for A , I = E π r 2 t Rewrite the expression to find the time required for the transducer to emit the sound energy of 4800 J as follows. t = E π r 2 I Substitute 4,800 J for E , 1.8 cm for r , and 5.9 × 10 3 W m 2 for I , t = 4 , 800 J π ( 1

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ISBN: 9781119326342

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Publisher: WILEY

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Chapter 16, Problem 61P

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To find: The time required for the transducer to emit the sound energy of 4800 J.

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Chapter 16, Problem 60P

Chapter 16, Problem 63P

Chapter 16 Solutions

Physics

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