Angular motion and kinematics

Angular motion

Angular displacement

• the displacement of an object following a circular path

•  $\theta$  = radians or  degrees

Multiple Choice

As an object rotates, the change in the angle is called _______ ____ and represented by ________

• angular displacement AND s

• angular displacement AND θ

• rotational displacement AND θ

• rotational displacement AND s

Multiple Choice

There are 360 ___________ in one revolution of a circle.

• Gradiens

• Radians

• Degrees

• None of the Above

Multiple Choice

There are 2π ___________ in one revolution of a circle.

• Gradiens

• Radians

• Degrees

• None of the Above

Multiple Choice

Categorize something that is measured in degrees

• Linear Distance

• Angular Distance

• Linear Speed

• Angular Speed

angular velocity

• the displacement over time

•  $\omega=\frac{\Delta\theta}{\Delta t}$  

Multiple Choice

What happens to her angular velocity when a figure skater brings in her arms?

• Increases her angular velocity

• Decreases her angular velocity

• Has no affect

Multiple Choice

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

Multiple Choice

Which of the following is NOT a unit of rotational speed?

• Meters per second

• Revolutions per minute

• Revolutions per second

• Rotations per second

Multiple Choice

When an object spins it is said to undergo ______________. 

• rotational motion
• angular momentum
• axis differentiation
• rotational axis

Multiple Choice

angular velocity can be measured in

• rad/sec

• m/s

• rad/s²

• m/s²

Multiple Choice

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

• 2600 rad/s

• 43.3 rad/s

• 273 rad/s

• 60 rad/s

angular acceleration

• the rate of change of the angular velocity

•  $\alpha=\frac{\Delta\omega}{\Delta t}$  

Multiple Choice

Which represents the acceleration of the ball?

• A
• B
• C
• D

Multiple Choice

A possible unit for angular acceleration is:

• rad/s²

• rad/s

• N*m

• Kg*m²

Multiple Choice

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

linear/angular velocity

•  $v=r\omega$  
  

• linear velocity is equal to the angular velocity times the raddius

Multiple Choice

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

Multiple Choice

The linear speed of an object directed along the tangent to the object’s circular path.

• centrifugal speed
• tangential speed
• linear speed
• angular speed

Multiple Choice

Two children, Jack and Jill, ride on a merry-go-round. Jack is at a greater distance from the axis of rotation than Jill. Which of the following are true statements?

• Jill and Jack have the same tangential speed.

• Jack has a greater tangential speed than Jill.

• Jill has a greater angular speed than Jack.

• Jill has a smaller angular speed than Jack.

Multiple Choice

In the equation

 $v=\omega r,\ \ \omega\ \ \ \ represents...$ 

• Angular velocity measured in radians

• Angular velocity measured in degrees

• Angular velocity measured in revolutions

• The central angle measured in radians

Multiple Choice

In the equation

 $v=\omega r,\ \ r\ \ \ represents...$ 

• Angular velocity measured in radians

• The angular diaplacement

• radius 

• The central angle measured in radians

Multiple Choice

A car moving at 15m/s has tires with a radius of 0.38 m what is the rotational/angular velocity

• 39.5 rad/s

• 5.7 rad/s

• 30 rad/s

• 17 rad/s

linear/angular acceleration

• 
  
   $a_t=\ linear\ acceleration$  
  

•  $a_t=\frac{v}{t}$  

•  $\alpha=\frac{a_t}{r}$  

Multiple Choice

A car from rest speeds up to a velocity of 15m/s has tires with a radius of 0.38 m what is the rotational/angular acceleration after 2 minutes

• .34

• .05

• 19.74

• 3.04