The correct answer is the first option, which is:
A=G^2/H; H=G^2/A
The explanation is shown below:
1. To solve the exercise shown in the figure attached, you must apply the proccedure shown below:
2. You have the following equation to calculate G:
G=√AH
3. Now, to find the formula to calculate A, you must clear the A, as below:
G^2=(√AH)^2
G^2=AH
A=G^2/H
4. Then, you must apply the same proccedure to find the formula for calculate H, as following:
G^2=(√AH)^2
G^2=AH
H=G^2/A
<span>Acceleration of a passenger is centripetal acceleration, since the Ferris wheel is assumed at uniform speed:
a = omega^2*r
omega and r in terms of given data:
omega = 2*Pi/T
r = d/2
Thus:
a = 2*Pi^2*d/T^2
What forces cause this acceleration for the passenger, at either top or bottom?
At top (acceleration is downward):
Weight (m*g): downward
Normal force (Ntop): upward
Thus Newton's 2nd law reads:
m*g - Ntop = m*a
At top (acceleration is upward):
Weight (m*g): downward
Normal force (Nbottom): upward
Thus Newton's 2nd law reads:
Nbottom - m*g = m*a
Solve for normal forces in both cases. Normal force is apparent weight, the weight that the passenger thinks is her weight when measuring by any method in the gondola reference frame:
Ntop = m*(g - a)
Nbottom = m*(g + a)
Substitute a:
Ntop = m*(g - 2*Pi^2*d/T^2)
Nbottom = m*(g + 2*Pi^2*d/T^2)
We are interested in the ratio of weight (gondola reference frame weight to weight when on the ground):
Ntop/(m*g) = m*(g - 2*Pi^2*d/T^2)/(m*g)
Nbottom/(m*g) = m*(g + 2*Pi^2*d/T^2)/(m*g)
Simplify:
Ntop/(m*g) = 1 - 2*Pi^2*d/(g*T^2)
Nbottom/(m*g) = 1 + 2*Pi^2*d/(g*T^2)
Data:
d:=22 m; T:=12.5 sec; g:=9.8 N/kg;
Results:
Ntop/(m*g) = 71.64%...she feels "light"
Nbottom/(m*g) = 128.4%...she feels "heavy"</span>
Answer:
1 3/4 or 1.75
Step-by-step explanation:
An easy way to do this is to convert to decimals
1/4 = 0.25
2/4 = 0.5
3/4 = 0.75
Now, for the numbers for this problem.
2 3/4 would be equal to 2.75
3 1/2 would be equal to 3.5
Add those two numbers together and you get 6.25
Subtract that from 8 and you get 1.75 or 1 3/4
8) 
is -0.896 radians
9) length of arc is 41.91 cm
Solution:
8)
Given that,
is in quadrant 4
To find:
From given,
Thus value of is -51.34 degrees
Convert degrees to radians
Thus is -0.896 radians
9)
From given,
radius = 15.4 cm
<em><u>The length of arc when angle in radians is:</u></em>
Thus length of arc is 41.91 cm
Answer:
2x − 9 and x + 6
Step-by-step explanation:
2x² + 3x − 54
Factor using the AC method.
2 × -54 = -108
Factors of -108 that add up to 3 are +12 and -9.
Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.
Therefore, the factors are x + 6 and 2x − 9.
