1. A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.05 x 10^4 rad/s to 3.14 x 10^4 rad/s. In the process, the bit turns through an angle of 1.88 x 10^4 rad. Find the angular acceleration, assumed constant. With the same angular acceleration, how long would it take the bit to reach its maximum angular speed of 7.85 x 10^4 rad/s, starting from rest?
2. Find the values required in each case:
a. The wavelength of a 500 Hz sound wave traveling in air at 20 degrees CELSIUS.
b. The frequence of a microwave whose wavelength is 1.00 cm. (Microwaves travel with the speed of light, 3.00 x 10^8 m/s).
c. In seawater at 20 degrees CELSIUS, what is the wavelength of a 1000 Hz sound wave?
d. What is the frequency of red light with a wavelength in vacuum of 600 nm?