Circular Motion

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What happens to the centripetal force if the speed is constant while the radius is tripled?

1/3 its original value

What happens to the centripetal acceleration if the speed is doubled but radius is constant?

4X its original value

What happens to the centripetal force if the speed is tripled but radius is constant?

9X its original value

Radius

A line segment from the center of the circle to a point on the circle; has half the length of the circle's diameter

Diameter

A line segment that connects two points on a circle's circumference and goes through the center; has twice the length of the circle's radius

Centripetal force

A net force directed toward the center of a circle (mv²/r); can be a gravitational force, a tension, an applied force, or a frictional force

Period

The time it takes for an object to make one complete revolution (1/f); unit: seconds

At the top of the circular path of an object, its direction of acceleration is

down (toward the center of the circle)

When an object undergoes uniform circular motion, its acceleration

is not zero; it causes the object to change direction

At the top of the circular path of an object, its direction of velocity is

tangent to the circle

static friction

the force is responsible for keeping a car on an unbanked curve or a coin on a record player

perpendicular

the relationship between the direction of velocity of an object undergoing uniform circular motion and the direction of its acceleration

What happens to the centripetal acceleration if the speed is constant but radius is doubled?

It becomes 1/2 its original value.

Centripetal acceleration

The acceleration of an object undergoing uniform circular motion, which is directed toward the center of a curved or circular path (v²/r); caused by a net centripetal (center-seeking) force

Circumference

The distance around a circle (2πr)

Frequency

The number of revolutions the object makes in one second (1/T); unit: 1/s or Hz

If a car goes around a curve, the direction of its acceleration

toward the center of the circle

Uniform circular motion

when an object moves in a circle and the magnitude of its velocity is not changing, but its direction is constantly changing (accelerating)


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