Free Printable Angular Motion

Worksheets

Angular Motion

Total questions: 19

Worksheet time: 5hrs 45mins

Name

Class

Date

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

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

1.6 rad/s/s

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

A merry go round starts from rest, and reaches an angular speed of 2 radians/second in 3 seconds. What is its angular acceleration, and through what angle does it sweep in the 3 second time interval?

α = 3/2 rad/s², θ=27/4 rad

α = 2/3 rad/s², θ=3 rad

α = 2/3 rad/s², θ=6 rad

α = 6 rad/s², θ=27 rad

A flywheel starts from rest, and has an angular acceleration of 4 rad/s². What will be its angular speed when it has made one revolution?

5.01 rad/s

50.27 rad/s

2.83 rad/s

7.09 rad/s

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

6.67 rad/s

2500 rad/s

41.9 rad/s

20.9 rad/s

An object completes 1.5 circular orbits in half a minute. It orbits with a radius of 2 m. What is the object's tangential speed?

0.15 m/s

0.60 m/s

1.6 m/s

6 m/s

A horse gallops around a circular arena. The centripetal force on the horse is ___.

directed outward

tension

directed toward the center of the arena

9.8 N

Which of the following increase the centripetal force?

Increasing the radius

Increasing the velocity

Decreasing the mass

Decreasing the acceleration

10.

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?

$\omega r$

$\frac{\omega}{r}$

$\frac{r}{\omega}$

$\omega^2r$

11.

[5 points] A figure skater spins on an icy surface. Her moment of inertia is 3.0 kg-m² when her arms are stretched away from her and drops to 2.2 kg-m²when her arms are close to her chest. If she makes three revolutions per second (rps) when her arms are stretched, how many rps will she make when she puts her arms to her chest?

4 rps

2 rps

3 rps

8 rps

12.

A gear spins at a rate of 400 revolutions/minute. Which choice is closest to its angular speed in radians/second?

6.67 rad/s

2500 rad/s

41.9 rad/s

20.9 rad/s

13.

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

14.

Klyde's angular velocity is

the same as Bonnie's

twice Bonnie's

half of Bonnie's

1/4 Bonnie's

15.

Who has the larger linear (tangential) velocity?

Klyde

Bonnie

Same

both zero

16.

Who has the larger centripetal acceleration?

Klyde

Bonnie

Same

Both zero

17.

Four rotations per minute is a measurement of ________

angular velocity

angular acceleration

time period

angular displacement

18.

The time required for one complete revolution is:

torque

frequency

period

rotational kinetic energy

19.

A disc rotating at 300 rev/min is stopped after 2 minutes. Calculate

a) the angular acceleration

b) angular velocity after 30 s

c) the number of revolutions

a) -0.26 rad s^-2

b) 23.62 rad s^-1

c) 302 revolutions

a) -0.45 rad s^-2

b) 20.35 rad s^-1

c) 202 revolutions

a) -0.62 rad s^-2

b) 36.22 rad s^-1

c) 112 revolutions

a) -0.34 rad s^-2

b) 13.62 rad s^-1

c) 422 revolutions

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Angular Motion

Total questions: 19

Worksheet time: 5hrs 45mins

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