A change in pressure on the eardrum occurs when a pure musical tone is played. For some tones, the pressure on the eardrum follows the sine

curve

p(t) = 0.004 sin(2 ft+7)

where p is the pressure in pounds per square foot at time t second, and f is the frequency of the sound wave in cycles per second. When p(t) is positive, there is an increase in pressure and the eardrum is pushed inward; when p(t) is negative there is a decrease in pressure and the eardrum is pushed outward.

a) Graph the pressure on the eardrum for Middle C, which has a frequency of f= 261 .63 Hz (i.e., cycles per second), for t between 0 and 0.005, i.e., [0,0.005].

(b) Determine the period, denoted by T of p(t). What is the relationship between the period and the frequency of the tone?