A tuning fork is struck, and the tips of the prongs (tines) are initially displaced 0.4 mm from their natural position at rest. The prongs oscillate at 440 Hz under damped harmonic motion. The sound is no longer audible once the displacement is less than 0.1 mm . What is the damping factor if the sound is no longer audible after 4.0 sec ? Round to 2 decimal places.
A tuning fork is struck, and the tips of the prongs (tines) are initially displaced 0.4 mm from their natural position at rest. The prongs oscillate at 440 Hz under damped harmonic motion. The sound is no longer audible once the displacement is less than 0.1 mm . What is the damping factor if the sound is no longer audible after 4.0 sec ? Round to 2 decimal places.
Solution Summary: The author calculates the damping factor of a tuning fork and round 2 decimal places if the sound is no longer audible.
A tuning fork is struck, and the tips of the prongs (tines) are initially displaced
0.4
mm
from their natural position at rest. The prongs oscillate at
440
Hz
under damped harmonic motion. The sound is no longer audible once the displacement is less than
0.1
mm
. What is the damping factor if the sound is no longer audible after
4.0
sec
? Round to
2
decimal places.
16. Solve each of the following equations for x.
(a) 42x+1 = 64
(b) 27-3815
(c) 92. 27² = 3-1
(d) log x + log(x - 21) = 2
(e) 3 = 14
(f) 2x+1 = 51-2x
11. Find the composition fog and gof for the following functions.
2
(a) f(x) = 2x+5, g(x) = x²
2
(b) f(x) = x²+x, g(x) = √√x
1
(c) f(x) = -1/2)
9
9(x) =
х
=
-
X
Elementary Statistics: Picturing the World (7th Edition)
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