Understanding Torque and Moment of Inertia

What is torque analogous to in translational motion?

• Mass

• Force

• Velocity

• Acceleration

How does an ice skater increase their spin speed?

• By increasing their mass

• By extending their arms and legs

• By tucking in their arms and legs

• By spinning on one foot

What happens to the moment of inertia when mass is concentrated closer to the axis of rotation?

• It remains the same

• It increases

• It decreases

• It doubles

Which object has a higher moment of inertia: a solid sphere or a hollow sphere of the same mass and radius?

• Depends on the material

• Both have the same

• Hollow sphere

• Solid sphere

What is the relationship between angular momentum and linear momentum?

• Angular momentum is mass times velocity

• Angular momentum is moment of inertia times angular velocity

• Angular momentum is force times distance

• Angular momentum is velocity times radius

Where should you apply force on a wrench to generate the most torque?

• At any point

• At the middle

• At the very end

• Near the bolt

What is the effect of using a longer lever arm on torque generation?

• It decreases torque

• It has no effect

• It increases torque

• It makes torque constant

What is the formula for torque when considering the angle between force and lever arm?

• F * tan(theta) * R

• F * cos(theta) * R

• F * sin(theta) * R

• F * R

Why is a breaker bar used instead of a regular wrench?

• To reduce the bolt size

• To increase the lever arm length

• To make the wrench lighter

• To decrease the force needed

What is the sine of the angle when force and lever arm are perpendicular?

• 1

• 0

• 0.5

• Undefined