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Worksheets

Angular Velocity & Acceleration

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Match the following

a)

x

1.

θ\theta

b)

v

2.

ω\omega

c)

a

3.

α\alpha

d)

t

4.

t

2.

Convert π3\frac{π}{3}  from  radians to degrees


(type number only, no decimals)



(a)  

3.

Convert 150⁰ to radians

a)

5π6\frac{5π}{6}

b)

3π4\frac{3π}{4}

c)

7π6\frac{7π}{6}

d)

2π3\frac{2π}{3}

e)

15π8\frac{15π}{8}

4.

A 0.12-m-radius grinding wheel takes 3 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

a)

3 rads23\ \frac{rad}{s^2}

b)

6 rads26\ \frac{rad}{s^2}^{ }

c)

4rads24\frac{rad}{s^2}

d)

7rads27\frac{rad}{s^2}

5.

A fan blade, initially at rest, rotates with a constant acceleration of 0.25 rad/s2. How many radians does it rotate after 4s?

a)

1rad

b)

8rad

c)

4rad

d)

2rad

6.

An automobile tire rotates at an angular acceleration of 2.0 rad/s2 starting from rest. How many radians does it rotate after 5s?

a)

25 rad

b)

12.5 rad

c)

2 rad

d)

0.5 rad

7.
A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s interval at a rate of 0.040 rad/s2. What is its angular speed after this 7-s interval?
a)
0.2 rad/s
b)
0.3 rad/s
c)
0.46 rad/s
d)
0.78 rad/s
8.

​ (a)   θ indicates the angle through which an object has rotated.  It is measured in radians.

Choose from the below words
Angular Displacement
Average Angular Velocity
Instantaneous Angular Velocity
Angular acceleration
9.

​ (a)   ω is angular displacement divided by the time interval over which that angular displacement occurred.  It is measured in rad/s.

Choose from the below words
Average angular velocity
Instantaneous Angular Velocity
Angular acceleration
Angular Displacement
10.

​ (a)   α tells how much an object’s angular speed changes in one second.  It is measured in rad/s per second.​

Choose from the below words
Angular acceleration
Average Angular Velocity
Instantaneous Angular Velocity
Angular Displacement