Free Printable HW; Angular displacement & velocity concepts

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HW; Angular displacement & velocity concepts

Total questions: 52

Worksheet time: 53mins

Name

Class

Date

Suppose a bicycle wheel of radius R rolls without slipping for a linear distance x. What is the angular displacement the bicycle wheel during this movement?

$\theta=\frac{x}{r}$

$\theta=\frac{r}{x}$

$\theta=xr$

$\theta=xr^2$

What does the slope of a $\theta$ vs t graph represent?

The angular acceleration ( $\alpha$ )

The angular velocity ( $\omega$ )

The angular displacement ( $\Delta\theta$ )

The torque ( $\tau$ )

What does the slope of a $\omega$ vs t graph represent?

The angular acceleration ( $\alpha$ )

The angular velocity ( $\omega$ )

The angular displacement ( $\Delta\theta$ )

The torque ( $\tau$ )

What does the area of a $\omega$ vs t graph represent?

The angular acceleration ( $\alpha$ )

The angular velocity ( $\omega$ )

The angular displacement ( $\Delta\theta$ )

The torque ( $\tau$ )

What does the area of a $\alpha$ vs t graph represent?

The angular acceleration ( $\alpha$ )

The change in angular velocity ( $\Delta\omega$ )

The angular displacement ( $\Delta\theta$ )

The torque ( $\tau$ )

If the translational velocity of an object is 3 m/s, and is located a distance of 2 m from the axis of rotation, what is the object's angular velocity?

0.67 rad/s

1.5 rad/s

5 rad/s

6 rad/s

The angle through which a point, line, or body is rotated in a specific direction and around a specific axis •

angular velocity

angular displacement

radian

degree

A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?

0.013 s

0.002 s

76.9 s

6.28 s

What does $\alpha\$ (alpha) represent?

angular displacement

angular velocity

angular acceleration

10.

According to convention, counter-clockwise is always considered the ______________ direction when rotating.

positive

negative

zero

11.

The angular acceleration unit is

$\frac{rad}{s^2}$

$\frac{m}{s^2}$

$\frac{rad}{m^2}$

$\frac{N}{s^2}$

12.

How many radians are there in one complete rotation?

$\pi$

$2$

$1$

$2\pi$

13.

If an object has a positive $\omega$ and a positive $\tau$ , then what is the object doing?

rotating clockwise and speeding up

rotating counterclockwise and speeding up

rotating clockwise and slowing down

rotating counterclockwise and slowing down

14.

If an object has a negative $\omega$ and a positive $\tau$ , then what is the object doing?

rotating clockwise and speeding up

rotating counterclockwise and speeding up

rotating clockwise and slowing down

rotating counterclockwise and speed up

15.

Given the angular velocity ( $\omega$ ), how can you find linear velocity ( $v$ )?

Divide by $r$

Multiply by undefined

Use a kinematic equation

16.

A circular object of radius R has an angular velocity of k rad/s. The angular velocity at a point R/2 is:

2k rad/s

k/2 rad/s

k² rad/s

k rad/s

17.

What are the units for angular displacement.

m/s

kgm2/s

radians

rad/s

18.

What are the units for angular velocity

m/s2

rad/s

kgm/s

kg/m2

19.

If the body is moving in a circle of radius r with a constant speed v, its angular velocity is

v²/ r

v / r

r / v

20.

A disk rotates with an angular speed $\omega$ . What is the linear speed v of a point on the disk located a distance r away from the axis of rotation?

$\omega r$

$\frac{\omega}{r}$

$\frac{r}{\omega}$

$\omega^2r$

21.

A record spins at 33 rpm (revolutions per minute), which is an angular velocity of about 3.46 radians per second. What is the approximate linear velocity of a fly that sits on the record, 12 cm from the center?

3.4 cm/s

21.5 cm/s

41.5 cm/s

131.9 cm/s

22.

Klyde's angular velocity is

the same as Bonnie's

twice Bonnie's

half of Bonnie's

1/4 Bonnie's

23.

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

24.

$\alpha=\frac{\Delta\omega}{\Delta t}$ is called

angular velocity

angular acceleration

rotational inertia

25.

What is angular velocity

the rate of angular displacement of an object

the resistance of an object to change its current state

the amount of angular motion of an object

26.

360 degrees in radians is

$\pi$

$2\pi$

$\frac{1}{2\pi}$

3.14

27.

Two bugs are on a spinning wheel. Which bug has the greater tangential (linear) velocity?

Bug 1

Bug 2

It's the same!

28.

Two bugs are on a spinning wheel. Which bug has the greater angular velocity?

Bug 1

Bug 2

It's the same!

29.

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

3.2 rad/s

26 rad/s

52.12 rad/s

81 rad/s

30.

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

1.63 rad/s/s

31.

Which has greater angular velocity, 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

I don't know

32.

Which would have a greater tangential velocity?

Kid near the center of the merry go round

Kid near the outside of the merry go round

neither

Both kids have same tangential velocity

33.

A radian is all of the following EXCEPT

A dimensionless quantity

The ratio of arc length over radius

The same as degrees

It's an angle

34.

An object completes 1.5 circular orbits in half a minute. What is its approximate angular velocity?

0.05 rad/s

0.31 rad/s

0.5 rad/s

3 rad/s

35.

If the answer to your calculation has units of rad/s², what type of quantity could it be?

linear acceleration

angular acceleration

angular velocity

angular momentum

36.

What is the angular speed, in rad/s, of a flywheel turning at 813.0 rpm?

85.09 rad/s

95.33 rad/s

63.84 rad/s

13.53 rad/s

37.

By what factor you multiply to convert radians to degrees:

π/180

180/π

π*180

π²*180

38.

convert 71π/35 radians to degrees

365.14

360

380.52

180

39.

It will be same for all points of rotating body.

Angular displacement

Angular acceleration

Angular velocity

Arc length

40.

What is ∆ϴ stand for?

change in Angular velocity

Change in Angular acceleration

Change in Angular displacement

Change in Arc length

41.

convert -179.5 degrees to radians.

-3.13 radians

3.13 radians

3.14 radians

3.15 radians

42.

Tangential velocity (v_t) is the product of

r and ω

r and ϴ

s and r

θ and t

43.

Angular velocity is ____________________ to the plane.

Parallel

Perpendicular

Tangential

Don't know

44.

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s². What is the time interval required for it to reach a 4.2 rad displacement after starting from rest.

18.33 s

18.0 s

18.90 s

16.33 s

45.

What is the approximate angular speed of a wheel rotating at a rate of 5.0 rev/s?

3.2 rad/s

1.6 rad/s

16 rad/s

31.4 rad/s

46.

Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions—it then calculates the distance traveled. If the wheel has a 1.15 m diameter and goes through 200,000 rotations, how many kilometers should the odometer read?

230

460

920

722

1445

47.

Microwave ovens rotate at a rate of about 6 rev/min. What is this in revolutions per second? What is the angular velocity in radians per second?

1 revolution per second, 6.28 radians per second

0.1 revolutions per second, 0.628 radians per second

0.001 revolutions per second, 0.00628 radians per second

0.01 revolutions per second, 0.0628 radians per second

48.

An automobile with 0.260 m radius tires travels 80,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

48972444

48,970,751

48972443

48972441

49.

(a) What is the period of rotation of Earth in seconds?

(b) What is the angular velocity of Earth?

8640 seconds

86400 seconds, 0.0041667 degrees per second, 1669.6 meters per second

0.041667 degrees per second

16.96 meters per second

50.

A baseball pitcher brings his arm forward during a pitch, rotating the forearm about the elbow. If the velocity of the ball in the pitcher’s hand is 35.0 m/s and the ball is 0.300 m from the elbow joint, what is the angular velocity of the forearm?

(Hint; v = wr)

0.11667 rad/s

35.0 rad/s

116.67 rad/s

0.035 rad/s

51.

In lacrosse, a ball is thrown from a net on the end of a stick by rotating the stick and forearm about the elbow. If the angular velocity of the ball about the elbow joint is 30.0 rad/s and the ball is 1.30 m from the elbow joint, what is the velocity of the ball?

300.0 m/s

39.0 m/s

13.0 m/s

3.0 m/s

52.

A truck with 0.420-m-radius tires travels at 32.0 m/s. What is the angular velocity of the rotating tires in radians per second? What is this in rev/min?

76.19 rad/s, 727.91 rev/min

32.0 rad/s, 305.78 rev/min

0.420 rad/s, 4.02 rev/min

76.19 m/s, 727.91 rev/min

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HW; Angular displacement & velocity concepts

Total questions: 52

Worksheet time: 53mins

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