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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?

User Jengify
by
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1 Answer

6 votes

Answer: 12.56 m/s

Step-by-step 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.

User Aarondiel
by
3.5k points