<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:
No.
Step-by-step explanation:
No, it is a linear equation. There are no exponents on the x or y variables.
An acre is 43,560 ft² because the customary system hates you.
Let's find out how many square feet the parcel is so we can convert it into acres.
The area of a rectangle is its base times its height.
A = bh
A = 234 ft * 878 ft
A = 205,452 ft²
Divide by 43,560.
A ≈ <span>4.7165 acres. (round as needed)</span>
The constants, -3 and -8, are like terms
The terms 3p and p are like terms
The terms in the expression are p^2, -3, 3p, -8, p, p^3
The expression contains 6 terms.
Like terms have the same variables raised to the same powers.
Answer:
6 seconds
Step-by-step explanation:
Using the information from the problem, if Emily continues to pick 3 strawberries per second while Sophia eats 5 strawberries per second, then the amount of strawberries will decrease at a rate of 2 strawberries per second. Therefore, we can find the answer by subtracting 2 from 20 until we get to 8. Since we subtract 2 six times, the answer is 6. Hope this makes sense!
