Pls answer if you know!

A Ferris Wheel 22.0m in diameter rotates once every 12.5s. What is the ratio of a persons apperenet weight to her real weight (a

AnnZ [28]

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"

7 0

3 years ago

Read 2 more answers

The linear regression equation is y = 61. 93x - 1. 79. According to the model, the slope can be interpreted as:

devlian [24]

The slope of the linear regression equation y = 61. 93x - 1. 79 is attached with the response.

<h3>What is linear regression?</h3>

Linear regression is the most primary and generally used predictive research. Regression calculations are utilised to represent data and to describe the association.

The slope of the linear regression equation represented in the graph is the straight-line cutting the intercepts on the y axis at 1.79.

To know more about linear regression follow

brainly.com/question/21738659

#SPJ4

7 0

1 year ago

Work out the answer to this problem to reduce to the simplest form 5/8-1/2=

inysia [295]

In order to subtract fractions, you need the denominators (bottom number) to be the same. $\frac{1}{2} * \frac{4}{4} = \frac{4}{8}$ . $\frac{5}{8} - \frac{4}{8} = \frac{1}{8}$