The A string on a guitar has length 64.0 cm and fundamental frequency 110.0 Hz. The string's tension is 133 N. It is vibrating in its fundamental standing wave mode with a maximum displacement from equilibrium of 2.30 mm. The air temperature is 20.0°C. 

(a) What is the wavelength of the fundamental mode of vibration? 

(b) What is the wave speed on the string? 

(c) What is the linear mass density of the string? 

(d) What is the maximum speed of any point on the oscillating string? 

(e) The string transmits vibrations through the bridge to the body of the instrument and then to the air. What is the frequency of the sound wave in air? 

(f) What is the wavelength of the sound wave in air?