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mrs_skeptik [129]
3 years ago
9

How many revolutions per minute would a 25 m -diameter ferris wheel need to make for the passengers to feel "weightless" at the

topmost point?

Physics
1 answer:
kozerog [31]3 years ago
8 0
Refer to the diagram shown below.

Let ω =  the angular velocity (rad/s) of the wheel.

At the topmost point, the passenger, with mass m,  will feel weightless if the passenger's weight matches the centripetal force.
The passenger's weight is mg.
The centripetal force is mω²r.

Therefore
mω²r = mg
ω = √(g/r)

Because g = 9.8 m/s² and r = 25/2 = 12.5 m, therefore
ω = √(9.8/12.5) = 0.8854 rad/s

Because 1 revolution per second is 2π rad/s, therefore
\omega = (0.8854 \,  \frac{rad}{s} )*( \frac{1}{2 \pi} \,  \frac{rev}{rad} )*(60 \,  \frac{s}{min} ) = 8.455 \, rev/min

Answer: 8.455 rev/min

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Time taken by the package to reach the sea level= 13.7 s

height=h=925 m

initial velocity along vertical= vi=0

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using the kinematic equation h= Vi*t + 1/2 gt^2

925=0(t)+1/2 (9.8)t^2

4.9 t^2=925

t= 13.7 s

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4 years ago
A satellite in orbit is not truly traveling through a vacuum.It is moving through very, very thin air. Does the resulting airfri
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4 0
4 years ago
The earth and the moon exert forces on each other which forces is greater? explain
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Thank you for your question, what you say is true, the gravitational force exerted by the Earth on the Moon has to be equal to the centripetal force.

An interesting application of this principle is that it allows you to determine a relation between the period of an orbit and its size. Let us assume for simplicity the Moon's orbit as circular (it is not, but this is a good approximation for our purposes).

The gravitational acceleration that the Moon experience due to the gravitational attraction from the Earth is given by:

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Where T is the period. Since the two accelerations have to be equal, we obtain:

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This is the so-called third Kepler law, that states that the cube of the radius of the orbit is proportional to the square of the period.

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8 0
3 years ago
What is the reaction force of the table with a weight of 558N
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Answer: reaction force = -558N

Explanation:

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since action force and reaction force are equal in magnitude and opposite in direction,

reaction force = -(f)

reaction force = -558N

if that helps.

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