A tilt a whirl at an amusement park has a radius of 8 m and it completes 1 revolution every 4 seconds. A passenger on board has a mass of 63 kg.
What is the velocity of the passenger?

12.56 m/s

Explanation:

The velocity of something that is doing a circular motion can be written as:

v = R*w

Where:

v is the velocity.

R is the radius, in this case, we know that it is 8m.

w is the angular velocity, we know that:

w = 2*pi*f

where:

pi = 3.14

f = frequency, this is equal to the inverse of the period, and we know that the period is 4 seconds.

then:

f = 1/4s

w = 2*3.14*(1/4s)

Then the velocity will be:

v = 8m*2*3.14*(1/4s) = 12.56 m/s

The velocity is 12.56 meters per second, and the mass of the passenger does not mater for this particular calculation.

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jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.