Answer:
Part a) 
Part b) 
Step-by-step explanation:
we have
60 rev/min
Part a) Find the angular speed in radians per minute
we know that
One revolution represent 2π radians (complete circle)
so

To convert rev to rad, multiply by 2π

Part b) Find the linear speed in inches per minute
we know that
The circumference of a circle is equal to

we have
----> given problem
substitute


Remember that
One revolution subtends a length equal to the circumference of the circle
so

To convert rev to in, multiply by 16π

Answer:
Un triángulo tiene tres lados, tres vértices y tres ángulos. La suma de los tres ángulos interiores de un triángulo es siempre 180 °. La suma de la longitud de dos lados de un triángulo es siempre mayor que la longitud del tercer lado.
The lateral area of a cone is 147ft².
The total surface area of the cylinder is 867ft².
The total surface area is 1014ft²
<h3>What is the lateral surface area of a cone?</h3>
The lateral area of a cone is defined as the area covered by the curved surface of the cone.
Lateral area of a cone = πr x √(r² + h²)
Where:
- r = radius = 12/2 = 6ft
- h = height = 5ft
- π = 3.14
3.14 x 6 x √(36 + 25) = 147ft²
<h3>What is the total surface area of the figure ?</h3>
Total surface area of the cylinder : πr(r + 2h),
(3.14 x 6) x (6 + 40) = 867ft²
Total surface area = 867 + 147= 1014ft²
To learn more about lateral surface area, please check: brainly.com/question/27847638
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The solution is attached below.