Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 69 degrees occurs at 5 PM and the average temperature for the day is 50 degrees. Find the temperature, to the nearest degree, at 6 AM. (degrees)

Atoms in a solid continuously vibrate due to thermal energy. At room temperature, the amplitude of these atomic vibrations is about 1.4 x 10-11 meters, and their frequency is about 1.1 x 1012 hertz. What is the maximum speed of a vibrating atom? Include units in your answer.   PLEASE ANSWER IN HANDWRITING   THANK YOU!!!

A mass m at the end of a spring oscillates with a frequency of 0.78 Hz. When an additional 770 g mass is added to m, the frequency is 0.61 Hz. What is the value of m?

5 7.43

Problem 2:  Special sections of roadway are sometimes paved with “rumble strips” to alert inattentive drivers. In a particular case the grooves are spaced L = 0.26 m apart and the depth of each groove is d = 0.35 cm. As you drive over this rumble strip, the tires of your car oscillate about their equilibrium positions with a frequency of f = 68.6Hz. Refer to the figure, which is not drawn to scale.  Part (b) Find the vertical position of the tire, in centimeters, at the time t = 1.85 s. Part (c) With your tire oscillating at a frequency of f = 68.6 Hz and the distance between grooves L = 0.26 m, what is the speed of your car, in kilometers per hour?

(a) If your heart rate is 150 beats per minute during strenuous exercise, what is the time per beat in units of seconds? T= ✓ s (b) Find the frequency of a tuning fork that takes 0.00275 s to complete one oscillation. f= Hz

A pendulum has a period of 5.8 s.  If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?

Convert the following to basic SI units or a combination of basic Sl units:

4

A basketball coach paces back and forth along the sideline 17 times in 6 minutes. The frequency of her pacing is _________________ Hz.