Homework help: Periodic Motion and Waves

Problems 1-5 p 113

1. The period is the time for 1 vibration; frequency and period are reciprocals.
2. Use the value of g from the table on p 67 and the equation for the period of a pendulum. Watch sig. figs.
3. Find the value of g on Jupiter using the table on p. 66. Frequency is directly proportional to the square root of g. Set up a proportion: the square root of the ratio of g values equals the ratio of the frequencies.
4. Solve for l in the equation for the period of a pendulum. (Assume g = 9.80)
5. Solve for the value of g at the given location using equation 5 on p. 65. Remember that d in this equation is measured from the center of the earth. Now find the period. T = 4.12s

Problems 1-4 p 233

1. Use equation for wave speed. MHz = megahertz
2. Use wave speed equation, solve for wavelength.
3. Use wave speed equation.
4. Two dips per second creates two waves per second.

Problems 1-5 p 248

1. Use wave speed equation for each given wavelength. Be careful with exponents.
2. The situation is pictured in Figure 10-30 on p 247, the uppermost of the 4 possible wave patterns. Use the wave speed equation for part b
3. Refer to Figure 10-7 on p. 227. Remember the definition of amplitude and wavelength for parts a and b. Use wave speed equation and wavelength from part b.
4. Decide what portion of wavelength the given distance is, find frequency, then use wave speed equation.
5. Find frequency from given data. Find wave speed (distance traveled / elapsed time). (a) Period and frequency are reciprocals. (b) Use wave speed equation, solve for wavelength.