Rotational Physics

A carousel of radius r is initially at rest, and then begins to accelerate constantly until it has reached an angular velocity ω after 2 complete revolutions. What is the angular acceleration of the carousel?

• A

• B

• C

• D

• E

A solid sphere of mass m is fastened to another sphere of mass 2m by a rod with a length of 3x. What is the moment of inertia if it is rotated about the point located at position x, as shown?

• 3 mx^2

• 4 mx^2

• 5 mx^2

• 9 mx^2

• 10 mx^2

M1 is 2 meters from M2 and M1 = 5 kg and M2= 15 Kg.  Placing M1 at zero meters find the center of mass of the object. 

• 1.25 m

• 1.75 m

• 0.5 m

• 1. 1.5 m

M1 is 2 meters from M2 and M1 = 5 kg and M2= 15 Kg.  After finding the center of mass use the center of mass to find the moment of inertia for the object.

• 15 kgm^2

• 5 kgm^2

• 1.5 kgm^2

• 2.6 kgm^2

The object starts from rest. If the forces shown below act on the object find the rotational acceleration. 

• 0.75 rad/s^

• 1.0 rad/s^2

• 0.75 rad/s^2

• 1.5 rad/s^2

Tags

NGSS.HS-PS2-1

The obect starts from rest, accelerates at 0.75 rad/s^2  and gains rotational speed. After 12 seconds, calculate how much angular kinetic energy the object will have. 

• 1070 J

• 60 J

• 9 J

• 456 J

• 608 J

Tags

NGSS.HS-PS3-1

A spinning 6 kg hoop has a radius of 05 m and spins at an angular velocity of 2 rad/s. Suddenly the hoop expands to a radius of 1 meter without the mass changing. What is the new angular velocity?

• 0.25 rad/s

• 0.5 rad/s

• 1.5 rad/s

• 2.0 rad/s

Tags

NGSS.HS-PS2-2