Jami is trying to model the movement of a tire. in order to properly model the movement, she is going to focus on the movement of the tire's air nozzle. the nozzle is on the right side of the tire and she is going to treat that position as the equilibrium position. she then slowly rotates the tire so that the nozzle goes up at the beginning of the rotation, and follows its change in height. the distance of the nozzle from the center of rotation is 9 inches. she finds that it takes 8 seconds for the tire to make a single revolution. which function best models the position of the nozzle?

Respuesta :

function best models the position of the nozzle = 9sine((π/4)*t)

The correct option is B.

What is meant by equilibrium position?

When a response is in equilibrium, it no longer exhibits any tendency to change, remaining "spontaneous in neither direction." When the reaction's Gibbs energy drops to zero, this takes place.

According to the given information:

Furthermore, it is obvious that the rotation's velocity,, will be:

the speed of rotation , w, will be:

= 2π/T

= 2π/8

= π/4

Taking into account that the nozzle is currently located on the right side of the tire, which will be used as the equilibrium position, the tire is then turned so that the nozzle rises at the start of the rotation. When we have a sine (Sin) function, this condition is only achievable.

Consequently, the following is our final response:

Aptitude x sin(wt)

= 9 x sin((π/4)*t)

= 9sine((π/4)*t)

function best models the position of the nozzle = 9sine((π/4)*t)

To know more about equilibrium position visit:

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I understand that the question you are looking for is:

Jami is trying to model the movement of a tire. In order to properly model the movement, she is going to focus on the movement of the tire's air nozzle. The nozzle is on the right side of the tire and she is going to treat that position as the equilibrium position. She then slowly rotates the tire so that the nozzle goes up at the beginning of the rotation, and follows its change in height.

The distance of the nozzle from the center of rotation is nine inches. She finds that it takes eight seconds for the tire to make a single revolution.

Which of the following functions best models the position of the nozzle?

A. s(t)=9sin(4pi t)

B.s(t)=9sin(pi/4 t)

C.s(t)=9cos(4pi t)

D. s(t)=9cos(pi/4 t)