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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.
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 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: $2pi" rad"=360deg$

$omega="angular velocity in rad/s"$
$DeltaTheta="change in angle in radians"$
$Deltat="change in time in seconds"$

$omega=(DeltaTheta)/(Deltat)$

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?

$F_c=(mv_t^2)/r$

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: $v=omegar$

10.
When designing winding roads through a countryside, civil engineers need to take into consideration the maximum safe sideways acceleration for rounding a turn, $a_c=1m/s^2$. What is the minimum radius of curve in the road if the maximum speed is 45mph?

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