Free Printable angular acceleration

1.

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)

$3\ \frac{rad}{s^2}$

b)

$6\ \frac{rad}{s^2}^{ }$

c)

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

d)

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

2.

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)

18 rad

b)

8rad

c)

4rad

d)

2rad

3.

Which has more rotational inertia? (consider all objects have equal radius)

a)

Hollow sphere

b)

solid sphere

c)

disk

d)

cylinder

4.

Which has greater linear speed, a horse near the outside rail of a merry-go-round or a horse near the inside rail?

a)

the inside horse

b)

the outside horse

c)

Neither

5.

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?

a)

5.01 rad/s

b)

50.27 rad/s

c)

2.83 rad/s

d)

7.09 rad/s

6.

The relation between linear velocity and angular velocity

a)

⍵ = vr

b)

v = r⍵

c)

a = v⍵

7.

The unit of angular velocity is

a)

m/s

b)

m/s²

c)

rad/s

d)

rad/s²

8.

Centripetal acceleration is directed

a)

directed away from the center of the circle

b)

directed towards the center of the circle

c)

it is perpendicular to the radius at that point

d)

It has no direction

9.

The expression for centripetal acceleration is

a)

a = v⍵

b)

a = r⍵²

c)

a = v²/r

d)

All of the above

10.

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

11.

A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s². What is its angular speed at the instant it goes through an angular displacement of 4.2 rad?

a)

0.025 rad/s

b)

0.11 rad/s

c)

0.46 rad/s

d)

1.2 rad/s

12.

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

a)

1.8 s

b)

2.0 s

c)

16 s

d)

18 s

13.

A Ferris wheel starts at rest and builds up to a final angular speed of 0.70 rad/s while rotating through an angular displacement of 4.9 rad. What is its average angular acceleration?

a)

0.01 rad/s/s

b)

0.05 rad/s/s

c)

1.8 rad/s/s

d)

2.6 rad/s/s

14.

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

15.

A dics is roating at an angular velocity of 8 rad/s. If ladybug 1 is 2m away from the center of the dics and the ladybug2 is 4m away from the center of the disc, what is the tangential speed of ladybug1?

a)

50.24m/s

b)

100.48m/s

c)

25.12 m/s

d)

16 m/s

16.

A dics starts to rotate with an angular velocity of rad/s² . find its angular speed after 4s?

a)

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

b)

$6\pi\ \frac{rad}{s}$

c)

$8\pi\ \frac{rad}{s}$

d)

$4\pi\ \frac{rad}{s}$

17.

What is the unit if angular acceleration?

a)

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

b)

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

c)

$\frac{km}{h}$

d)

$\frac{rad}{s}$

18.

The disc in the picture is rotating with an angular acceleraion of $\alpha$ . The tangential accleration and the centripetal acceleration vectors are given. What is the centripetal acceleration expression?

a)

$a_t=\omega^2.r$

b)

$a_t=\omega^{ }.r$

c)

$a_t=\frac{\omega^2}{r}$

d)

$a_t=\frac{v^2}{r}$

19.

A 0.30m radius automobile tire rotates at an angular acceleration of 2.0 rad/s² . What is the tangential acceleration of a point at the rim of the tire?

a)

0.6m/s²

b)

0.3m/s²

c)

0.15m/s²

d)

1.2m/s²

20.

The disc in the picture is rotating with an angular acceleraion of $\alpha$ . The tangential accleration and the centripetal acceleration vectors are given. What is the tangential acceleration expression?

a)

$a_t=\alpha.r$

b)

$a_t=\omega^{ }.r$

c)

$a_t=\frac{\alpha}{r}$

d)

$a_t=\frac{v^2}{r}$

angular acceleration

Total questions: 20

Worksheet time: 32mins

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