Angular Acceleration and Motion Concepts

The video tutorial covers angular acceleration problems, starting with a wheel accelerating from rest and calculating its average angular acceleration. It explains the concept of negative angular acceleration and its relation to angular velocity, using examples of clockwise and counterclockwise rotations. The tutorial also addresses linear velocity and radial acceleration, providing calculations for a spinning disk. Finally, it discusses net acceleration, emphasizing the significance of centripetal acceleration at high speeds and how it compares to tangential acceleration.

What is the average angular acceleration of a wheel that speeds up from rest to 30 radians per second in 5 seconds?

• 8 radians per second squared

• 7 radians per second squared

• 6 radians per second squared

• 5 radians per second squared

If a disk slows down from 85 to 25 radians per second in 4 seconds, what is the average angular acceleration?

• -5 radians per second squared

• -15 radians per second squared

• -10 radians per second squared

• -20 radians per second squared

What does a negative angular acceleration indicate about the motion of a disk?

• The disk is slowing down

• The disk is speeding up

• The disk is moving at a constant speed

• The disk is changing direction

If both angular velocity and angular acceleration are positive, what happens to the disk?

• The disk slows down

• The disk speeds up

• The disk moves at a constant speed

• The disk changes direction

What is the linear velocity of a point at the edge of a disk with a diameter of 30 cm spinning at 40 radians per second?

• 7 meters per second

• 6 meters per second

• 5 meters per second

• 4 meters per second

How do you calculate the radial acceleration of a point on a spinning disk?

• v divided by r

• v plus r

• v times r

• v squared divided by r

A disk speeds up from 20 to 100 radians per second in 2 seconds. What is the average angular acceleration?

• 40 radians per second squared

• 30 radians per second squared

• 50 radians per second squared

• 60 radians per second squared

What is the centripetal acceleration of a point at the edge of a disk with a radius of 1.5 cm and an angular speed of 60 radians per second?

• 56 meters per second squared

• 50 meters per second squared

• 52 meters per second squared

• 54 meters per second squared

How is the net acceleration of a point on a disk calculated?

• Product of tangential and centripetal accelerations

• Ratio of tangential to centripetal accelerations

• Difference of tangential and centripetal accelerations

• Sum of tangential and centripetal accelerations

As the speed of a disk increases, what happens to the centripetal acceleration?

• It becomes zero

• It decreases

• It increases

• It remains constant