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# Rotational Motion (Grades 11-12)

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## Rotational Motion

1.
In the diagram shown, what force is required to keep an object of mass $m$ from slipping off the disk?
1. $mg$
2. $(mv^2)/r$
3. $(mv^2)/(2g)$
4. $(2pimg)/v^2$
2.
In the figure shown, the force exerted by the person on the mass is called                force.
1. Centrifugal
2. Centripetal
3. Gravitational
4. Ellastic
3.
If a particle moves in a plane so that its position is described by the functions
$x=Acosomegat$ and $y=Asinomegat$, the particle is
1. moving with constant speed along a circle.
2. moving with varying speed along a circle.
3. moving with constant acceleration along a straight line.
4. moving along a parabola.
5. oscillating back and forth along a straight line.
4.
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.
5.
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: $v=omegar$

6.
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: $2pi" rad"=360deg$

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

$omega=(DeltaTheta)/(Deltat)$

7.
In the diagram shown, calculate the minimum value of friction coefficient $mu$ between the person's feet and the floor required to prevent the person from slipping. Express your answer in terms of the person's mass $M$, any quantities shown on the diagram, and fundamental constants. Assume the ball of mass $m$ is being swung in the horizontal plane.

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