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Psychology (925)
PSYCH 3A03 (11)
Paul Faure (11)

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School
McMaster University
Department
Psychology
Course
PSYCH 3A03
Professor
Paul Faure
Semester
Fall

Description
Psych 3A03 20 September 2013 McMaster University Paul A. Faure Instructions and Tips -1 • The speed of sound in air (c ) air= 340 m⋅s ; the speed of sound in water (c water is = 4⋅air • Remember that log (2)10 0.3. • A calculator is not necessary to answer any of these questions. 1. Write the equation for a line with a slope of 1, 3 and 5, each having a y -intercept equal to its slope. (a) Line 1: y = 1⋅x + 1 (b) Line 2: y = 3⋅x + 3 (c) Line 2: y = 5⋅x + 5 2. Draw the unit circle andlabelpointsatevery π/4 radians starting from x=1, y=0. What angle (θ) in degrees corresponds to each π/4 radian point starting from x=1, y=0? Angles are every 45°. θ = 45°, 90°, 135°, 180°, 225°, 270°, 315°, 360° starting from the reference point x=1, y=0. 3. (a) Write the equation that describes the instantaneous pressure, P(t) , of a sine wave with a peak amplitude of 4 Pascals (Pa), a period (T) of 1 ms, and a starting phase angle (θ) of 3.14 radians (rad). A = 4 Pa; T = 1 ms = 0.001 s; f = 1/T ; f = 1/ 0.001 ; f = 1000/1 ; ∴ f = 1000 Hz ; θ = 3.14 rad = 180° = π P(t) = 4⋅sin(2π⋅1000⋅t + π) (b) Write the equation for the instantaneous pressure of the above sound if the frequency (f) is doubled and the starting phase angle (θ) is shifted by -90°. IF f = 1000 Hz in 3(a), THEN f = 2000 Hz in 3(b) ; θ = 180° – 90° = 90° = π/2 P(t) = 4⋅sin(2π⋅2000⋅t + π/2) (c) Write the equation that describes the instantaneous pressure, P(t) , of a sine wave with a peak amplitude of 0.01 Pa, a frequency (f) of 5000 Hz, and a starting phase angle (θ) of 270°. A = 0.01 Pa ; f = 5000 Hz ; θ = 270° = 3/2⋅π or -1/2⋅π P(t) = 0.01⋅sin(2π⋅5000⋅t + 3/2⋅π) or P(t) = 0.01⋅sin(2π⋅5000⋅t - 1/2⋅π) Problem Set #2 page 1 of 3 Psych 3A03 20 September 2013 McMaster University Paul A. Faure 4. What is the period (T) of a sine wave with a frequency (f) of: (a) 10 Hz? T = 0.1 s (or 100 ms) (e) 1000 Hz? T = 0.001 s (or 1 ms) (b) 100 Hz? T = 0.01 s (or 10 ms) (f) 2 kHz? T = 0.0005 s (or 0.5 ms) (c) 333 Hz? T = 0.003 s (or 3 ms) (g) 5 kHz? T = 0.0002 s (or 0.2 ms) (d) 500 Hz? T = 0.002 s (or 2 ms) (h) 10 kHz? T = 0.0001
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