<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>
Pythagorean theorem is all about squaring the numbers. the equation is a^2+b^2=c^2
when you know two sides of the triangle, you fill in those spaces. they hypotenuse is ALWAYS ‘c’
to figure this problem out you put
a as 4
keep b as b since you don’t know what it is
c as 6
4 squared=16
6 squared=36
16+b^2=36
36-16=20
square root of 20 is 4.47
To get your answer, you would divide your distance by your speed. You should be going about 1.4 miles per hour.
Answer:
The answer to your question is letter B
Step-by-step explanation:
Data
length = 12 in
width = 8 in
height = 16 in
surface area = ?
Formula
Surface area = 2( length x width) + 2(length x height) + 2((width x height)
Substitution
Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)
Simplification
Surface area = 256 + 384 + 102
Result
Surface area = 832 in²
Answer:
x = 12
Step-by-step explanation:
130 + y = 180 {linear pair}
y = 180 - 130
y = 50°
3x - 6 +8x + 4 + 50 = 180 {Angle sum property of triangle}
3x + 8x - 6 + 4 + 50 = 180 {Combine like terms}
11x + 48 = 180
11x = 180 - 48
11x = 132
x = 132/11
x = 12°
