Multiple Choice

23.

What is 1 radian approximately in degrees?

24.

If the following objects are spinning at the same angular velocities, the edge of which one would have the highest speed?

25 .

What are possible units for tangential velocity?

26 .

What is

30^{\circ}

in radians?

27 .

What happens to arc length as rotation angle increases?

Arc length increases linearly with rotation angle.
Arc length increases inversely with rotation angle.
Arc length increases inversely with rotation angle angle a revolution is completed, then restarts at zero.
Arc length increases linearly with rotation angle until a revolution is completed, then restarts at zero.

28.

Which of these quantities is constant in uniform circular motion?

29.

Which of these quantities impact centripetal force?

30.

An increase in the magnitude of which of these quantities causes a reduction in centripetal force?

31 .

What happens to centripetal acceleration as the radius of curvature decreases and the speed is constant, and why?

It increases, because the centripetal acceleration is inversely proportional to the radius of the curvature.
It increases, because the centripetal acceleration is directly proportional to the radius of curvature.
It decreases, because the centripetal acceleration is inversely proportional to the radius of the curvature.
It decreases, because the centripetal acceleration is directly proportional to the radius of the curvature.

32 .

Why do we experience more sideways acceleration while driving around sharper curves?

Centripetal acceleration is inversely proportional to the radius of curvature, so it increases as the radius of curvature decreases.
Centripetal acceleration is directly proportional to the radius of curvature, so it decreases as the radius of curvature decreases.
Centripetal acceleration is directly proportional to the radius of curvature, so it decreases as the radius of curvature increases.
Centripetal acceleration is directly proportional to the radius of curvature, so it increases as the radius of curvature increases.

33.

Which of these quantities is not described by the kinematics of rotational motion?

34.

In the equation $τ = r F sin θ τ = r F sin θ$ , what is F?

35 .

What happens when two torques act equally in opposite directions?

36 .

What is the mathematical relationship between angular and linear accelerations?