The figure shows scale drawings of four objects, each of the same mass and uniform thickness, with the mass distributed uniformly. Which one has the greatest moment of inertia when rotated about an axis perpendicular to the plane of the drawing at point P?

• A

• B

• C

• D

A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneously at the top of an inclined plane and do not slip, which one will reach the bottom first?

• cylinder
• pipe
• sphere
• They all reach the bottom at the same time.

Tags

NGSS.HS-PS2-1

Which has greater angular speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

• The inside horse
• The outside horse
• Neither - they both have the same angular speed

A person sits on a freely spinning lab stool that has no friction in its axle. When this person extends her arms,

• her moment of inertia increases and her angular speed decreases.
• her moment of inertia decreases and her angular speed increases.
• her moment of inertia increases and her angular speed increases.
• her moment of inertia increases and her angular speed remains the same.

Suppose you are designing an engineless car for a downhill coasting race.  What type of wheels would be the best?

• Solid disks.
• Hoops.
• Hollow cylinders.
• Diamond encrusted triangles.

Tags

NGSS.MS-ETS1-1

NGSS.MS-ETS1-2

NGSS.MS-ETS1-3

In order to do a lot of flips an Olympic diver would want:

• A high rotational inertia
• A low rotational inertia
• A low linear acceleration
• A low angular velocity

The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?

• 10.4 rad/s²
• 3.43 rad/s²
• 5.20 rad/s²
• 1.06 rad/s²

Tags

NGSS.HS-PS2-1

If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

• 0.67 rad/s
• 1.5 rad/s
• 5 rad/s
• 6 rad/s

An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?

• 0.05 rad/s
• 0.30 rad/s
• 0.5 rad/s
• 3 rad/s

Tags

NGSS.HS-ESS1-4

An object completes 1.5 circular orbits in half a minute. It orbits with a radius of 2 m. What is the object's tangential speed?

• 0.15 m/s
• 0.60 m/s
• 1.6 m/s
• 6 m/s

Tags

NGSS.HS-ESS1-4