From the given data it is clear that the amplitude of the wave will be 9 inches.
It is also clear that the speed of rotation, ω, will be: 
Now, it is given that the nozzle is on the right side of the tire and that position is going to be treated as the equilibrium position, the tire is then rotated such that the nozzle goes up at the beginning of the rotation. This condition is possible only when we have a Sine (Sin) function.
Thus, our final answer can be arrived as:


Thus, out of the given options, option B is the correct answer.
Distance formula... but the answer is square root of 58 units with is approximately 7.61577
16. LCD: 48 because 1/4= 12/48, 1/12=4/48, 11/16= 33/48 and they all share 48 as the denominator
17. LCD: 168 because 5/56= 15/168, 7/24= 49/168, 7/12= 98/168, 5/42= 20/168
18. LCD: 30 because 2/1= 60/30, 1/5= 6/30, 1/10= 3/30, 5/6= 25/30