Answer:
1742.24106 revolutions per day
Explanation:
v = Velocity
d = Diameter = 1.1 km
r = Radius = 
g = Acceleration due to gravity = 9.81 m/s²
g = 0.9 g
The centrifugal force will balance the gravitational force
The rotation speed is 1742.24106 revolutions per day
Answer:
the image can be rather real or virtual
Explanation:
The momentum of an object is given in terms of its mass and its velocity. The law of conservation of momentum says that the net momentum of a system remains conserved for an isolated system.
Momentum is given by :
p = m × v
If p is conserved, velocity is inversely proportional to the mass of an object. When mass changes, velocity also changes but inversely.
The general equation for the forces acting on the passengers at the topmost point of the ferris wheel is
where
mg is the weight of the passengers
R is the normal reaction of the cabin
is the centripetal force
In order to feel weightless, the normal reaction felt by the passengers should be zero. Therefore, the equation becomes:
or
where
is the angular frequency of the wheel and r is its radius. Since we know its radius,
we can calculate the angular frequency:
From which we find the frequency at which the ferris wheel should rotate:
This is the number of revolutions per second, so the number of revolutions per minute will be
Answer:
Explanation:
Each piece is analyzed by using the Principle of Momentum Conservation and the Impulse Theorem:
Heavier object:
Lighter object:
After the some algebraic handling, the following relationship is found:
Given that both pieces have horizontal velocities only and both are modelled as projectiles, the horizontal component of velocity remains constant and directly proportional to travelled distance. Then:
