Question
The centerline of a nozzle is to be placed at 58 degrees from top dead center (TDC) on a tank with a measured circumference of 540″. How many inches from TDC is the centerline of the nozzle to be located?
Group of answer choices
58 inches
76 1/4 inches
110 3/16
140 inches
87 inches
Group of answer choices
58 inches
76 1/4 inches
110 3/16
140 inches
87 inches
Answers
GPT 3.5
To calculate the distance from TDC, we first need to find the fraction of the circumference that corresponds to the 58-degree angle.
We know that a full circle has a circumference of 540″.
To find the fraction of the circumference, we can use the formula:
angle/360 = fraction of circumference/total circumference
In this case, the angle is 58 degrees and the total circumference is 540″.
58/360 = fraction of circumference/540
Simplifying, we get:
0.1611 = fraction of circumference/540
To find the fraction of the circumference, we multiply both sides of the equation by 540:
0.1611 * 540 = fraction of circumference
Approximately, this is equal to:
87.094 inches = fraction of circumference
So, the centerline of the nozzle should be located approximately 87 inches from TDC.
Therefore, the correct answer is 87 inches.
We know that a full circle has a circumference of 540″.
To find the fraction of the circumference, we can use the formula:
angle/360 = fraction of circumference/total circumference
In this case, the angle is 58 degrees and the total circumference is 540″.
58/360 = fraction of circumference/540
Simplifying, we get:
0.1611 = fraction of circumference/540
To find the fraction of the circumference, we multiply both sides of the equation by 540:
0.1611 * 540 = fraction of circumference
Approximately, this is equal to:
87.094 inches = fraction of circumference
So, the centerline of the nozzle should be located approximately 87 inches from TDC.
Therefore, the correct answer is 87 inches.