10.2 is the decimal of it
Answer:
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Answer:
a) 3 inch pulley: 11,309.7 radians/min
6) 6 inch pulley: 5654.7 radians/min
b) 900 RPM (revolutions per minute)
Step-by-step explanation:
Hi!
When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:


We need to convert RPM to radias per minute. One revolution is 2π radians, then:


The saw rotates with the same angular speed as the 6 inch pulley: 900RPM
Answer and explanation:
We know the sum of interior angles in a triangle is 180°.
- 1 : 2 : 3 = 6 (1 + 2 + 3)
- x : y : z = 180 (x, y and z are the unknown angles)
To get from 6 to 180, we multiply by 30. This means we can find the angles by doing:
- 1 × 30 = 30°
- 2 × 30 = 60°
- 3 × 30 = 90°
The triangle must be right-angled because one of the angles is 90°. We know that the shape is a triangle because 30 + 60 + 90 = 180°.
The ratio is 30 : 60 : 90.
Hope this helps!