Answer:
Average :
UCL = 4.15
LCL = 2.65
Range :
UCL = 2.75
LCL = 0
Explanation:
Given :
Sample size, n = 5
Average, X = 3.4
Range, R = 1.3
A2 for n = 5 ; equals 0.577 ( X chart table)
For the average :
Upper Control Limit (UCL) :
X + A2*R
3.4 + 0.577(1.3) = 4.1501
Lower Control Limit (LCL) :
X - A2*R
3.4 - 0.577(1.3) = 2.6499
FOR the range :
Upper Control Limit (UCL) :
UCL = D4*R
D4 for n = 5 ; equals = 2.114
UCL = 2.114*1.3 = 2.7482
Lower Control Limit (LCL) :
LCL = D3*R
D3 for n = 5 ; equals = 0
LCL = 0 * 1.3 = 0
Answer:
a. 15.4 seconds
b. 0.455 m/s
Explanation:
a. The carousel rotates at 0.13 rev/s.
This means that it takes the carousel 1 sec to make 0.13 of an entire revolution.
This means that time it will take to make a complete revolution is:
1 / 0.13 = 7.7 seconds
Therefore, the time it will take to make 2 revolutions is:
2 * 7.7 = 15.4 seconds
b. Let us calculate the linear velocity. Angular velocity is given as:

where v = linear velocity and r = radius
The radius of the circle is 3.5 m and the angular velocity is 0.13 rev/s, therefore:
0.13 = v / 3.5
v = 3.5 * 0.13 = 0.455 m/s
Linear velocity is 0.455 m/s
Answer:
B
Explanation:
Momentum is the product or multiplication of a body's mass and its speed.
Since all options have the mass and speed in the same units, there is no need for conversion.
A. 20 x 500 = 10000, B. 200 x 60 = 12000
The same goes for the rest!
Answer:
The speed is 
Explanation:
From the question w are told that
The angle made is 
The distance above the surface of the water is 
The value of 
The maximum height attained by the fish is mathematically evaluate as

Making v which is the speed of the fish the subject of the formula

substituting values
![v = \sqrt{ \frac{2*10 *1.2 }{ [sin (30)]^2 } }](https://tex.z-dn.net/?f=v%20%3D%20%20%5Csqrt%7B%20%5Cfrac%7B2%2A10%20%2A1.2%20%7D%7B%20%5Bsin%20%2830%29%5D%5E2%20%20%7D%20%7D)

Answer:
Power = 21[W]
Explanation:
Initial data:
F = 35[N]
d = 18[m]
In order to solve this problem we must remember the definition of work, which tells us that it is equal to the product of a force for a distance.
Therefore:
Work = W = F*d = 35*18 = 630 [J]
And power is defined as the amount of work performed in a time interval.
Power = Work / time
Time = t = 30[s]
Power = 630/30
Power = 21 [W]