Do Now warm-up prompt

Uniform Circular Motion - an object moving at constant speed along a circular path, continuously turned by a center-directed force

“Not everything that counts can be counted, and not everything that can be counted, counts.”

— Einstein

“What does this picture tell you about the speed of these motorcyclists?”

Ducati Women's Motorcycle Racing Team riders leaning into a turn
Nina Prinz and Letizia Marchetti — Ducati Women’s Motorcycle Racing Team
www.webbikeworld.com

“A large centripetal (center directed) force in needed to turn at high speeds.”

The rider needs to lean when they go around a turn at high speeds to counteract the large centripetal force provided by the centripetal force of the tires.

Video Instruction

showmethephysics.com

Fill in the Blank Notes

I. Uniform Circular Motion

Why can it be said that the earth has a nearly uniform circular motion around the sun?

The earth moves in a plane around the sun. Define the geometric shape called a plane.

The earth and a motorcycle need something in order to turn. What is that?

The Physics of Countersteering

Force on an Object Moving in a Circle
Show Me The Physics YouTube Channel

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Show Me The Physics

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Rutgers U.

Show Me The Physics YouTube Channel

School blocks YouTube? Download file below

ObjectMovingCircle

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Circular motion diagram
circMotion

In order for an object to move at constant speed in a circle, an outside force must constantly turn the object toward the center of circular path.

Circular Motion, Car on a Banked Track

by Dr. Michael R. Gallis mrg3@psu.edu

Penn State Schuylkill

Go Nittany Lions!! Penn State Nittany Lion

Instructional Video

Draw the Centripetal Force and Tangential Velocity

Object at one position along circular path
Object at another position along circular path
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Object at one position along circular path
Object at another position along circular path
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Draw the centripetal force, and tangential velocity

Object moving in a circle diagram
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Object moving in a circle diagram
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Draw the centripetal force, and tangential velocity

Object moving in a circle diagram
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Object moving in a circle diagram
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“Where should you release the ball to hit the target?”

Ball released from circular motion diagram

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B

A cannon atop a mountain fires shots that land while a satellite follows a circular orbit as gravity pulls inward NYSSLS Reading Passage icon

NYSSLS Reading Passage · Circular Motion

Falling Sideways: The Hidden Physics of Turns, Loops, and Orbits

Open Reading Passage → Regents Practice Version →

Check Your Understanding

5 quick questions — pick an answer to see if you’re right.

1. Which best describes uniform circular motion?

2. In what direction does the centripetal force on an object moving in a circle point?

3. At any instant, what is the direction of the velocity of an object moving in a circle?

4. A ball is swung in a horizontal circle on a string and released. Which path does it follow right after release?

5. Why must the Earth have a force acting on it to orbit the Sun at nearly constant speed?

NYSSLS Regents Practice · Circular Motion · Uniform Circular Motion

Riding a Carousel

A child rides a carousel horse located 6.0 m from the center. The carousel turns at a steady rate, completing one revolution every 12 s.

Which statement about the child’s motion is correct?

▶ Want a challenge? Open 6 more Regents-style questions  (harder · mixed formats)

Challenge score: 0 / 6

Multiple choice

C1. The child says she “feels pushed outward.” Which explanation is correct?

Substitute values

C2. Substitute numerical values into a mathematical representation that can be used to determine the child’s speed. Then calculate the speed.

v = 2π( m)( s) = m/s
Draw the vector · Determine the magnitude

C3. Viewed from above, the center of the carousel is directly below the child on your screen (the child is at the top of the circle). The child has a mass of 30. kg. Choose the direction of the net force on the child, and determine its magnitude.

child
●
Fnet = N
Support or Refute · Justify

C4. A student makes the following claim.

Claim: If the carousel turned twice as fast (one revolution every 6.0 s), the child’s centripetal acceleration would double.

Place a check mark in either the Support or Refute box. Justify your response using a mathematical relationship.

Multiple choice

C5. A second child sits on a horse 3.0 m from the center. How do the two children compare?

Constructed response

C6. Carousel operators often seat the youngest children on the inner horses. Using the relationships for circular motion, explain why the inner horses give a gentler ride.