Angular Motion

 2600 rev/min is equivalent to which of the following?

• 2600 rad/s 
• 43.3 rad/s 
• 273 rad/s
• 60 rad/s

Tags

CCSS.HSF.TF.A.1

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

• 3.2 rad/s
• 26 rad/s
• 52 rad/s
• 81 rad/s

Tags

CCSS.HSF.TF.A.1

A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

• 9.6 rad/s/s
• 4.8 rad/s/s
• 3.1 rad/s/s
• 1.6 rad/s/s

Tags

NGSS.HS-PS2-1

A 0.30m radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s² over a 5.0 s interval?

• 25 rad
• 12.5 rad
• 2 rad
• 0.5 rad

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s². What is its angular speed at the instant it goes through an angular displacement of 4.2 rad?

• 0.025 rad/s
• 0.11 rad/s
• 0.46 rad/s
• 1.2 rad/s

A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s interval at a rate of 0.040 rad/s². What is its angular speed after this 7-s interval?

• 0.2 rad/s
• 0.3 rad/s
• 0.46 rad/s
• 0.78 rad/s

The rotational equivalent to x (displacement), v (velocity) and a (acceleration) are?

• m, m/s, m/s²

• θ, ω, α

• x, x/t, α

• μ, Σ, τ

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.

A merry-go-round spins freely when Diego moves quickly to the center along a radius of the merry-go-round. As he does this, it is true to say that

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

Which would have a greater linear velocity?

• Kid near the center of the merry go round
• Kid near the outside of the merry go round
• neither