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Chapter 11: 11-53P (page 292)
If two successive overtones of a vibrating string are 280 Hz and 350 Hz, what is the frequency of the fundamental?
The fundamental frequency is found as \(70{\rm{ Hz}}\).
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Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s due to human reaction time at the start a d stop moments. What is the percent uncertainty of a hand-timed measurement of (a) 5.5 s, (b) 55 s, (c) 5.5 min?
At t = 0, an 885-g mass at rest on the end of a horizontal spring (k= 184 N/m)is struck by a hammer which gives it an initial speed of 2.26 m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the total energy, and (e) the kinetic energy when x =0.40A where A is the amplitude.
Estimate the average power of a moving water wave that strikes the chest of an adult standing in the water at the seashore. Assume that the amplitude of the wave is 0.50 m, the wavelength is 2.5 m, and the period is 4.0 s.
Which is not true about an order-of-magnitude estimation?
(a) It gives you a rough idea of the answer.
(b) It can be done by keeping only one significant figure.
(c) It can be used to check if an exact calculation is reasonable.
(d) It may require making some reasonable assumptions in order to calculate the answer.
(e) It will always be accurate to at least two significant figures.
What, approximately, is the percent uncertainty for a measurement given as\({\bf{1}}{\bf{.57 }}{{\bf{m}}^{\bf{2}}}\)?
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