Free Printable ROTATIONAL KINEMATICS

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ROTATIONAL KINEMATICS

Total questions: 31

Worksheet time: 58mins

Name

Class

Date

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

Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. Which of the following is true?

Bug A has a greater rotational speed.

Bug B has a greater rotational speed.

Bug A has a greater speed.

Bug B has a greater speed.

Two bugs ride a turntable which is rotating at a constant rate of 4 rad/s. Bug A is at a radius of 4 cm, while bug B is at a radius of 8 cm. What is the velocity of bug B?

4 cm/s

32 cm/s

2 cm/s

1 cm/s

- 8 rad/s²

+ 8 rad/s²

-100 rad/s²

-20 rad/s²

- 100 rad

-100π rad

-40π rad

-200π radians

If the angular velocity of an object changes from 3 rad/s to 1 rad/s in 2 seconds, what is the object's angular acceleration?

–1.5 rad/s^2

–1 rad/s^2

1 rad/s^2

1.5 rad/s^2

10.

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

11.

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

12.

Find the length of the arc to 2dp

25.12cm

12.57cm

628.32cm

31.42cm

13.

Find the length of the arc to 2dp

37.70cm

37.69cm

18.85cm

18.84cm

14.

Find the length of the arc to 2dp

5.76cm

18.85cm

7.33cm

11.52cm

15.

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

3 radian

2 radian

4 radian

2π radian

16.

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

7.78 inches

8.21 inches

157.5 inches

7 inches

17.

12π cm

27π cm

12 cm

27 cm

18.

Which represents the acceleration of the ball?

19.

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

20.

Which of the following increase the centripetal force?

Increasing the radius

Increasing the velocity

Decreasing the mass

Decreasing the acceleration

21.

Calculate the amount of centripetal force it takes for a softball pitcher to rotate a ball with a velocity of 3 m/s if the ball weighs .12 kg and her arm is .65 meters long.

.38

1.23

.55

1.66 N

22.

Centripetal force is...

The net force exerted toward the center of a curved path

The net force exerted to the outside of a circle

The force going against gravity

23.

Centripetal acceleration always points

in the direction of the object's motion

in the opposite direction of the object's motion

towards the center of the circle

towards the outside of the circle

24.

What is the formula for force?

F=M/A

F=A/M

F=M*A

F=M*F

25.

Centripetal acceleration is ...

Acceleration toward the center of a curved or circular path

Acceleration toward the outside of a circle

Vertical motion instead of horizontal motion

26.

Where is the net force when the rollercoaster is at the top of the loop?

Towards the sky

Towards the Right

Towards the left

Towards the ground

27.

A motorcyclist moves at a constant speed down one hill and up another hill along the smooth curved surface. When the motorcyclist reaches the lowest point of the curve its velocity and acceleration directions are

28.

Eva Destruction twirls a stone attached to a string 2.0 meters long in a horizontal circle. At what speed must the stone move for its centripetal acceleration to be equal to the acceleration due to gravity (g)?

2.0 meters

4.42 m/s

19.6 m/s

9.8 m/s

29.

What centripetal force is needed to keep a 2 kg sack of flour moving at a constant speed of 4 m/s in a circle having a radius of (a) 4 meters (b) 8 meters?

8 N, 4 N

4 N, 8N

8 N, 16 N

2 N, 4 N

30.

A car goes around a curve of radius r at a constant speed v. Then it goes around the same curve at half of the original speed. What is the acceleration of the car as it goes around the curve for the second time, compared to the first time?

twice as big

four times as big

half as big

one-fourth as big

31.

A car goes around a curve of radius r at a constant speed v. Then it goes around a curve of radius 2r at speed 2v. What is the centripetal acceleration of the car as it goes around the second curve, compared to the first?

four times as big

twice as big

one-half as big

same value as the first

100 %

ROTATIONAL KINEMATICS

Total questions: 31

Worksheet time: 58mins

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