9514 1404 393
Answer:
a) 3.491 in/s
b) 3.333 RPM
c) 0.349 rad/s
Step-by-step explanation:
We know the arc length for a given radius and angle is ...
s = rθ
so the linear speed along the arc is ...
s' = rθ' = (10 in)(20π/180 rad/s) = 10π/9 in/s ≈ 3.491 in/s
__
The rotation rate of 20°/s is an angular velocity of ...
(20°/s)(60s/min)(1 rev/360°) = 3.333 RPM
__
In the first part, we found the angular speed to be π/9 radians/sec. That's about ...
π/9 rad/s ≈ 0.349 rad/s
A = 3x
b = 2x+25
180 = a + b
180 = 3x + 2x + 25
180 = 5x + 25
155 = 5x
x = 31
a = 3*31 = 93
b = 2*31 + 25 = 87
The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
<h3>What is cylinder?</h3>
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Given that,
Radius of pipe a is 6 cm, and the radius of pipe b is 2 cm.
We know that the volume of cylinder is :- 
where r is radius and h is height of the cylinder.
If two figures are similar then ratio of volume is equal to the cube of any dimension.
The ratio of the volume of Pipe a to the volume of Pipe b :-
= 
Hence, The ratio of the volume of pipe a to the volume of pipe b is 27:1 .
To learn more about cylinder from the given link:
brainly.com/question/1392572
#SPJ4
Answer:
An arrow diagram
Step-by-step explanation:
Helps keep track of intricate relationships between variables. Specifies the phenomena of interest: independent, alternative, antecedent and intervening.
-Time on the bottom with an arrow
-Antecedent -> Independent -> intervening-> dependent
An arrow diagram is defined as a process diagramming tool used to determine optimal sequence of events, and their inter-connectivity. It is a network diagramming technique in which activities are represented by arrow, used for scheduling and to determine the critical path through nodes. The arrow diagramming method shows the required order of tasks in a project or process, the best schedule for the entire project, and potential scheduling and resource problems and their solutions. The arrow diagram lets you calculate the "critical path" of the project the flow of critical steps where delays can affect the timing of the entire project and where addition of resources can speed up the project.
One headed arrow connecting two variables= "X directly causes Y"
I think it is 0.05 but i do if it is right your welcome if it is wrong I'm sorry
