Circular and Rotational Motion

What is uniform circular motion?

• An object accelerating in a circular path.

• Motion in a straight line at varying speeds.

• Movement of an object in a spiral path.

• Uniform circular motion is the motion of an object moving in a circular path at a constant speed.

What is the formula for centripetal acceleration?

• a_c = v * r

• a_c = r^2 / v

• a_c = r / v^2

• a_c = v^2 / r

How does the velocity of an object in uniform circular motion change?

• The velocity changes in magnitude but not in direction.

• The velocity remains constant in both direction and magnitude.

• The velocity increases as the object moves in a circle.

• The velocity changes in direction but not in magnitude.

What is the role of centripetal force in uniform circular motion?

• Centripetal force increases the speed of the object in circular motion.

• Centripetal force acts away from the center of the circle.

• Centripetal force is responsible for the object's mass in circular motion.

• Centripetal force keeps an object in uniform circular motion by acting towards the center of the circle, changing its direction.

How does mass affect the centripetal force required for circular motion?

• Centripetal force decreases with more mass.

• Mass directly affects the centripetal force required; more mass requires more centripetal force.

• Mass has no effect on centripetal force.

• More mass reduces the speed required for circular motion.

What is the difference between uniform and non-uniform circular motion?

• Uniform circular motion occurs in a straight line; non-uniform circular motion occurs in a circle.

• Both types of motion have varying speeds; the path is the only difference.

• Uniform circular motion has constant speed; non-uniform circular motion has varying speed.

• Uniform circular motion is faster than non-uniform circular motion.

How do you calculate the period of an object in uniform circular motion?

• T = v/2πr

• T = 2πr/v or T = 2π/ω

• T = ω/2π

• T = r/v

What is the significance of the radius in uniform circular motion?

• The radius determines the distance from the center of the circle, affecting speed and centripetal acceleration.

• The radius determines the color of the circular path.

• The radius only affects the mass of the object in motion.

• The radius has no effect on the motion of the object.

How does friction affect uniform circular motion?

• Friction has no effect on uniform circular motion.

• Friction increases the speed of the object in uniform circular motion.

• Friction is essential for maintaining uniform circular motion by providing the centripetal force needed to keep the object on its circular path.

• Friction opposes the motion and causes the object to move in a straight line.

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

• Examples of uniform circular motion include a car on a circular track, a satellite in orbit, a spinning carousel, and planets orbiting the sun.

• A car driving straight on a highway

• A bicycle moving in a straight line

• A person walking in a park