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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:
  1. degrees/sec.
  2. rotations/sec.
  3. rad/sec.
  4. rpm.
  5. 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 planet’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]





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.
  1. True
  2. 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?
  1. The rock will fly off in a straight line.
  2. The rock will continue to move in a circular path.
  3. The rock will immediately fall to the ground.
6. 
Which of the following best describes why objects can move in a circular path?
  1. The inertia of the objects pushes them along the circular path.
  2. A centripetal force pushes them toward the center of the circular path.
  3. The momentum of the objects pushes them along the circular path.
  4. 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]





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.
  1. True
  2. 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]





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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