psd3 094 ∿ 18 October 2013 ∿ Name:

1. A RipStik was swizzled ("wiggled") across 160 centimeters of poster paper in a time of two seconds. The sinusoidal swizzle wave can be seen in the diagram below.
   
   1. λ = _________ _________ Calculate the wavelength λ of one wave.
   2. a = _________ _________ Calculate the amplitude a.
   3. τ = _________ _________ Calculate the period τ.
   4. f = _________ _________ Calculate the RipStik swizzle wave frequency f.
   5. ѵ_wave = _________ _________ Use the wavelength λ and frequency f to calculate the velocity ѵ_wave of the RipStik swizzle wave.
   6. ѵ_board = _________ _________ Use the 160 centimeters traveled and the two seconds to travel that distance to calculate the velocity ѵ_board of the RipStik board.
   7. _________ Is ѵ_wave equal to ѵ_board?
   9. _________ How many wavelengths in all are there on the "paper" above?
2. A ball bounces 40 times in 10 seconds.
   
   1. τ = _________ _________What is the period of the bouncing ball?
   2. f = _________ _________ What is the frequency for the bouncing ball?
3. During laboratory nine, the speed of sound, a student is 136 meters from the female residence hall banging two boards together in synch with the echoes. The other students count 25 claps in ten seconds.
   1. τ = ________ _________ What is the period for the echo (the out-and-back time)?
   2. velocity ѵ = _________ _________ What is the experimental speed of sound?
   3. % error = _________ _________ Given that the actual speed of sound that day was 347 m/s, what is the percentage error?

period τ = 1 ÷ (frequency f )
velocity ѵ = wavelength λ * frequency f
$\text{percent error}=\frac{(\text{experimental value}-\text{expected value})}{\left(\text{expected value}\right)}$