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PDT : Rotational Kinematics

Total questions: 10

Worksheet time: 1hrs 22mins

Name
Class
Date
1.

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

a)

63.67 rad/s

b)

41.9 rad/s

c)

3819.71 rad/s

d)

2594.31rad/s

2.

A flywheel starts from rest, and has an angular acceleration of 4 rad/s2. What will be its angular speed when it has made 2 revolutions?

a)

7.09 rad/s

b)

6.35 rad/s

c)

10.03 rad/s

d)

5.01 rad/s

3.

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?

a)

32 cm/s

b)

2 cm/s

c)

0.30 cm/s

d)

15 cm/s

4.

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?

a)

9.6 rad/s2

b)

1.6 rad/s2

c)

4.3 rad/s2

d)

6.2 rad/s2

5.

A 0.30m radius automobile tire rotates how revolutions it will make after starting from rest and accelerating at a constant 2.0 rad/s2 over a 5.0 s interval?

a)

4 revolutions

b)

2 revolutions

c)

3 revolutions

d)

5 revolutions

6.

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

a)

0.052 rad/s

b)

0.521 rad/s

c)

0.314 rad/s

d)

3.14 rad/s

7.

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

a)

Meters per second

b)

Revolutions per second

c)

Revolutions per minute

d)

Rotations per second

8.

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?

a)

0.67 rad/s

b)

1.5 rad/s

c)

5 rad/s

d)

6 rad/s

9.

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)

a) -0.26 rad s-2

b) 23.62 rad s-1

c) 302 revolutions

b)

a) -0.45 rad s-2

b) 20.35 rad s-1

c) 202 revolutions

c)

a) -0.62 rad s-2

b) 36.22 rad s-1

c) 112 revolutions

d)

a) -0.34 rad s-2

b) 13.62 rad s-1

c) 422 revolutions

10.

A fixed point, around which something turns, perpendicular to the rotation.

a)

axis of rotation

b)

diameter

c)

radius

d)

circumference of a circle