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Rotational Motion (Grades 11-12)

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Rotational Motion

1. 
In the diagram below, what force is required to keep an object of mass [math]m[/math] from slipping off the disk?
Circular Motion
  1. [math]mg[/math]
  2. [math](mv^2)/r[/math]
  3. [math](mv^2)/(2g)[/math]
  4. [math](2pimg)/v^2[/math]
2. 
In the figure below, the force exerted by the person on the mass is called                force.
Centripetal 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
[math]x=Acosomegat[/math] and [math]y=Asinomegat[/math], 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: [math]v=omegar[/math]



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 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]





7. 
In the diagram below, calculate the minimum value of friction coefficient [math]mu[/math] 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 [math]M[/math], any quantities shown on the diagram, and fundamental constants. Assume the ball of mass [math]m[/math] is being swung in the horizontal plane.
Centripetal Force





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