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Hello!
Recall the period of an orbit is how long it takes the satellite to make a complete orbit around the earth. Essentially, this is the same as 'time' in the distance = speed * time equation. For an orbit, we can define these quantities:
← The circumference of the orbit
speed = orbital speed, we will solve for this later
time = period
Therefore:
Where 'r' is the orbital radius of the satellite.
First, let's solve for 'v' assuming a uniform orbit using the equation:
G = Gravitational Constant (6.67 × 10⁻¹¹ Nm²/kg²)
m = mass of the earth (5.98 × 10²⁴ kg)
r = radius of orbit (1.276 × 10⁷ m)
Plug in the givens:
Now, we can solve for the period:
Answer:
a
b
Explanation:
From the question we are told that
The diameter of the Ferris wheel is
The period of the Ferris wheel is
The mass of the passenger is
The apparent weight of the passenger at the lowest point is mathematically represented as
Where is the centripetal force on the passenger, which is mathematically represented as
Where is the angular velocity which is mathematically represented as
substituting values
and r is the radius which is evaluated as
substituting values
So
W is the weight which is mathematically represented as
So
The apparent weight of the passenger at the highest point is mathematically represented as
substituting values