# Circular Motion - Advanced (Grades 11-12)

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## Circular Motion - Advanced

**Instructions:**
Read each question carefully. Choose the answer that best fits the question. For any calculation questions, you must show all your math work.

1.

The rate at which a rotating object spins, its angular velocity, can be expressed in all of the following ways except:

- degrees/sec.
- rotations/sec.
- rad/sec.
- rpm.
- revolutions/sec.

2.

Jupiter has the fastest rotation of all the planets in the Solar System, completing one rotation on its axis every 9.9 hours. The rapid rotation causes the planetâ€™s equator to bulge out. Instead of being a perfect sphere, Jupiter looks more like a squashed ball. What is its angular velocity in radians per second?

Given: [math]2pi" rad"=360deg[/math]

[math]omega="angular velocity in rad/s"[/math]

[math]DeltaTheta="change in angle in radians"[/math]

[math]Deltat="change in time in seconds"[/math]

[math]omega=(DeltaTheta)/(Deltat)[/math]

Given: [math]2pi" rad"=360deg[/math]

[math]omega="angular velocity in rad/s"[/math]

[math]DeltaTheta="change in angle in radians"[/math]

[math]Deltat="change in time in seconds"[/math]

[math]omega=(DeltaTheta)/(Deltat)[/math]

3.

What is the angular acceleration of a 12cm music CD that begins at rest and accelerates to 50rad/s in 1.217s?

4.

Any object moving in a circle undergoes centripetal acceleration, which changes the direction and magnitude of the velocity vector.

- True
- False

5.

When you whirl a rock at the end of a string it will follow a circular path. What will happen to the rock if the string breaks?

- The rock will fly off in a straight line.
- The rock will continue to move in a circular path.
- The rock will immediately fall to the ground.

6.

Which of the following best describes why objects can move in a circular path?

- The inertia of the objects pushes them along the circular path.
- A centripetal force pushes them toward the center of the circular path.
- The momentum of the objects pushes them along the circular path.
- A conduction force pushes them along the circular path.

7.

A race car is moving with a speed of 209km/hr on a circular section of a race track that has a radius of 300m. The car and driver have a combined mass of 788kg. What is the centripetal force acting on the car?

[math]F_c=(mv_t^2)/r[/math]

[math]F_c=(mv_t^2)/r[/math]

8.

If you were to whirl around a small weight attached to a string, and the string broke, the weight would fly off in a straight line away from the circle in the direction of and because of its tangential velocity.

- True
- False

9.

A wind turbine, with 4m long blades, turns at a rotor speed of 2.9rad/3s. What is the linear velocity of the tip of the blade?

Given: [math]v=omegar[/math]

Given: [math]v=omegar[/math]

10.

When designing winding roads through a countryside, civil engineers need to take into consideration the maximum safe sideways acceleration for rounding a turn, [math]a_c=1m/s^2[/math]. What is the minimum radius of curve in the road if the maximum speed is 45mph?

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