# math

1.A milling machine has a gear that spins, making one complete rotation counter clockwise every 360 milliseconds. The gear has a tooth with a marker in it as shown in the diagram below. There is a sensor 30mm below the center of the gear as viewed from the diagram that measures the height of the marker. The marker is supposed to start the rotation in the position shown on the left gear. Unfortunately the gears are out of sync and now the rotation starts in the position seen in the image at the right below.

The machinist has a table that tells him the height of the marker, but now needs a mathematician to help him. The gear is 15mm in diameter.

(a)Create two equations for the gear. The first models the height of the point in the gear as it was before the gears went out of sync.

(b)The second models the height of the marker in the machine when the gears are out of synchronization.
Create well-labelled graphs for each of these two situations that model the height of the marker on the gear.

(c)The machinist needs to know the height of the marker in the new and old gear positions at the following angles of rotation. Fill in the following table:
Angle of Rotation Old Marker Height New Marker Height
30°
60°
90°
120°
(d)The machinist needs one final piece of information. For maintenance, he needed to rotate the gear 240° to place the marker at a specific height. What height is this, and what rotation(s) on the new gear would provide the same height?

1. 👍
2. 👎
3. 👁
1. can anyone solve it

1. 👍
2. 👎

## Similar Questions

1. ### Math-Trigonometry

Can someone help me with this problem. -A Ferris wheel has a radius of 37.8 feet. The bottom of the Ferris wheel sits 0.7 feet above the ground. You board the Ferris wheel at the 6 o'clock position and rotate counter-clockwise.

2. ### Dynamics of Rigid Bodies

A 40 lb missile moves with a velocity of 150 ft/sec. It is intercepted by a laser beam which causes it to explode into two fragments A and B which weigh 25 lb and 15 lb, respectively. If the fragments A and B travel 45 degrees

3. ### Math

Find the probability that with one spin, the spinner will not stop on A. Write the answer as a reduced fraction. letters - E A D E F C A B Counter Clockwise

4. ### Math

A trundle wheel can be used to measure the walking distance between two locations. a) If the diameter of a trundle wheel is 45cm, how far will a person have walked when the wheel makes one full rotation? b) If a person walks for

1. ### Math

A sequence of transformations is applied to triangle MNO to create triangle M'N'O'. Select all that apply Select all the sequences of transformations that could be applied to triangle MNO so that triangle MNO (equal sign with "~"

2. ### Math

18. Identify a sequence of transformations that maps triangle ABC onto triangle A′′B′′C′′ in the image below. (1 point) clockwise 90° rotation; enlargement counterclockwise 90° rotation; reduction counterclockwise

Point E(0, -2) is a vertex of square DEFG. After a 90* clockwise rotation of the square about the origin, which of the following is the location of E? A. (-2,0) B. (2,0) C. (2,2) D. (0,2) Point D(-3,5) is a vertex of triangle DEF.

4. ### Physics

In a popular amusement-park ride, a cylinder of radius 3.00 m is set in rotation at an angular speed of 5.00 rad/s (counter-clockwise). The floor then drops away, leaving the riders suspended against the wall in a vertical

1. ### Math

In first gear, or low gear, an automobile's engine runs about three times as fast as the drive shaft. In second gear, the engine does not have to run as fast; usually it runs about 1.6 times faster than the drive shaft. Finally,

2. ### physics

Two gears A and B are in contact. The radius of gear A is twice that of gear B. (a) when A’s angular velocity 6.00 Hz counter clockwise, what is B’s angular velocity? (b) If A’s radius to the tip of the teeth is 10.0 cm what

3. ### Math

A sequence of transformations is applied to triangle MNO to create triangle M'N'O'. * Select all the sequences of transformation that could be applied to to triangle MNO so that triangle MNO ≅ M'N'O (3 answers) A. a clockwise

4. ### physics

An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that a person inside is stuck to the wall and does not slide down when the floor drops away. The acceleration of gravity is 9.8