Exploring Circular Motion Concepts

What is uniform circular motion?

• An object accelerating in a circular path

• An object moving in a spiral path

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

• Motion in a straight line at varying speeds

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How does centripetal acceleration relate to circular motion?

• Centripetal acceleration pushes objects away from the center of the circle.

• Centripetal acceleration is only relevant in linear motion.

• Centripetal acceleration increases as the radius of the circle increases.

• Centripetal acceleration is necessary for an object to maintain circular motion, directed towards the center of the circle.

What is the formula for centripetal force?

• F = mv + r

• F = (mv^2)/r

• F = m * a

• F = (m * r)/v

Define angular velocity and its significance in circular motion.

• Angular velocity is the measure of force applied in circular motion.

• Angular velocity is the speed of an object in a straight line.

• Angular velocity is the distance traveled by an object in circular motion.

• Angular velocity is the rate of change of angular displacement; it is significant in circular motion as it relates to linear velocity and centripetal acceleration.

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What is the relationship between frequency and angular velocity?

• ω = f/2π

• f = 2πω

• ω = 2πf

• ω = πf^2

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How does mass affect centripetal force in uniform circular motion?

• Mass directly affects centripetal force; as mass increases, centripetal force increases.

• Mass has no effect on centripetal force.

• Centripetal force is independent of mass in circular motion.

• Centripetal force decreases as mass increases.

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What role does radius play in determining centripetal acceleration?

• Radius has no effect on centripetal acceleration.

• Centripetal acceleration is directly proportional to radius.

• Radius inversely affects centripetal acceleration; larger radius results in lower acceleration for constant velocity.

• Smaller radius increases centripetal acceleration for constant velocity.

Explain how centripetal force is provided in a car turning on a curved road.

• Centripetal force is created by the car's weight pushing outward.

• Centripetal force is supplied by the road's curvature alone.

• Centripetal force is provided by the friction between the car's tires and the road.

• Centripetal force is generated by the car's engine power.

What happens to centripetal acceleration if the speed of an object in circular motion increases?

• Centripetal acceleration becomes zero.

• Centripetal acceleration increases.

• Centripetal acceleration remains constant.

• Centripetal acceleration decreases.

How can you calculate the angular velocity of an object in circular motion?

• ω = p / t

• ω = θ / t or ω = v / r

• ω = m / a

• ω = F / d