The pressures caused by pure tones on the eardrum are

Last updated: 4/11/2024

The pressures caused by pure tones on the eardrum are sinusoidal The change in pressure P in pounds per square foot on a person s eardrum from a pure tone at time t in seconds can be modeled using the equation P Asin 2xft d where f is the frequency in cycle per second and is the phase angle When P is positive there is an increase in pressure and the eardrum is pushed inward when P is negative there is a decrease in pressure and the eardrum is pushed outward A graph of a tone P t 008 sin 2x 274 42 t shown to the right Complete parts a through c below 2 274 421 is 008 Q 005 Q 008 a Determine algebraically the values of t for which P 0 over 0 005 The solution set is Round to five decimal places as needed Use a comma to separate answers as needed b From the graph and your answer in part a determine the interval for which P 0 over 0 005 Type your answer in interval notation c Would an eardrum hearing this tone be vibrating outward or inward when P 0 Outward