Uniform Circular Motion Question

In summary, a car travels 2.0km at a speed of 120 km/h in completing one lap on a circular racetrack. The change in velocity in one quarter of a revolution and half a revolution can be calculated by using the formula for centripetal acceleration, which is given by a = (v^2)/r, where v is the velocity and r is the radius of the circular track. The change in velocity in one quarter of a revolution is 30 km/h, while the change in velocity in half a revolution is 60 km/h.
  • #1
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On a circular racetrack, a car travels 2.0km at a speed of 120 km/h in completing one lap.

A) What is the change in velocity in one quarter of a revolution?
B) What is the change in velocity in half a revolution?

Thanks for the help.
 
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  • #3


A) In one quarter of a revolution, the car travels 0.5 laps, which is equivalent to 1.0 km. The change in velocity is the difference between the initial velocity and the final velocity, which is 120 km/h in this case. Therefore, the change in velocity in one quarter of a revolution is 120 km/h.

B) In half a revolution, the car travels 1 lap, which is equivalent to 2.0 km. The change in velocity is still 120 km/h, as the car is moving at a constant speed throughout the entire circular motion. Therefore, the change in velocity in half a revolution is also 120 km/h.
 

1. What is uniform circular motion?

Uniform circular motion is a type of motion in which an object moves along a circular path at a constant speed. It occurs when the magnitude of the object's velocity remains constant, but the direction of the velocity is constantly changing as it moves around the circle.

2. What causes an object to experience uniform circular motion?

An object experiences uniform circular motion when it is acted upon by a centripetal force. This force is directed towards the center of the circular path and is responsible for keeping the object moving in a circular motion.

3. How is uniform circular motion different from linear motion?

Uniform circular motion is different from linear motion in several ways. In linear motion, the object moves along a straight line at a constant speed, while in circular motion, the object moves along a curved path at a constant speed. Additionally, in circular motion, the object experiences a centripetal force, while in linear motion, there is no force acting towards a specific center point.

4. How is the speed of an object in uniform circular motion related to its radius?

The speed of an object in uniform circular motion is directly proportional to its radius. This means that as the radius of the circular path increases, the speed of the object also increases. Similarly, as the radius decreases, the speed of the object decreases.

5. What are some real-life examples of uniform circular motion?

There are many examples of uniform circular motion in our daily lives. Some common examples include the motion of a satellite in orbit around a planet, the rotation of a ceiling fan, and the movement of a car around a curved road. Amusement park rides such as a carousel or a Ferris wheel also demonstrate uniform circular motion.

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