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Question bank: Kinematics: Relationship between Speeds in Circular Motions

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Question 1:

Medium

Regarding the movement of a car's wheel, what is the difference between uniform motion and uniformly accelerated motion?
Kinematics: Relationship between Speeds in Circular Motions
Question 2:

Medium

A carousel in an amusement park has a radius of 5 meters and rotates in uniform circular motion, making 10 turns per minute. A 1st-year high school student wants to calculate the linear velocity of a point on the edge of the carousel. What is the linear velocity, in meters per second, of this point on the edge of the carousel?
Kinematics: Relationship between Speeds in Circular Motions
Question 3:

Easy

In uniform circular motion, the object executing it has a constant relationship between its two main quantities: angular velocity and linear velocity. These parameters can be represented by the following equation: v = ω.r. According to this equation, which of the alternatives below would represent the behavior of the linear velocity of the object when its angular velocity is divided by 4?
Kinematics: Relationship between Speeds in Circular Motions
Question 4:

Medium

A race car is making a turn with a radius of 30 meters at an angular velocity of 3 rad/s. What is the linear velocity of the car in this curve? Show all necessary calculations.
Kinematics: Relationship between Speeds in Circular Motions
Question 5:

Medium

A Ferris wheel is spinning in uniform circular motion and takes 20 seconds to complete one full revolution. Consider a passenger sitting in one of the Ferris wheel's chairs, 16 meters away from the axis of rotation. Determine the linear velocity of this passenger in meters per second. To solve this question, it is necessary to first calculate the angular velocity and then convert the angular velocity into linear velocity.
Kinematics: Relationship between Speeds in Circular Motions
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