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DP014: C7 ROTATION OF RIGID BODY

Total questions: 23

Worksheet time: 46mins

Name
Class
Date
1.

Torque is define as cross product between distance, r and __________

a)

energy

b)

velocity

c)

force

d)

displacement

2.
The easiest way to open a heavy door  is by applying the force
a)
Near the hinges
b)
In the middle of the door
c)
At the edge of the door far from the hinges
d)
At the top of the door
3.

Condition for maximum torque is

a)

θ\theta = 90 degree

b)

undefined=180 degree

c)

undefined= 0 degree

d)

not defined

4.

All the forces rotating clockwise will have a _______ torque

a)

positive

b)

negative

5.
Which will produce more torque to loosen the lug nut?
a)
A
b)
B
c)
They are the same
6.

An angular speed of 40 revolution per minute is equivalent to

a)

2.61 rad/s

b)

4.19 rad/s

c)

382 rad/s

d)

0.07 rad/s

7.

"Rate of change of angular displacement" this statement refer to

a)

Angular displacement,𝜽

b)

angular acceleration

c)

Average angular velocity, 𝝎_𝒂𝒗

d)

Instantaneous angular velocity, 𝝎

8.

"Angular acceleration at a specified position or at a particular of time" this statement refer to

a)

Average angular velocity, 𝝎_𝒂𝒗

b)

Angular displacement,𝜽

c)

Instantaneous angular acceleration, 𝜶

d)

Instantaneous angular velocity, 𝝎

9.
How do you find the tangential speed of a rotating circle?
a)
v = ωr
b)
v = ωr2
c)
v = ωπ
d)
v = ωπr
10.

An object is moving with uniform speed in a counterclockwise, horizontal circle. Which of the following images correctly depicts the force vector and velocity vector at a point in time.

a)
b)
c)
d)
11.

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

12.

The value of torque depends on the rotation axis and the _______________________

a)

magnitude of applied force.

b)

mass of object

c)

moment inertia of object

d)

shape of object

13.

Find the angular displacement of the wheel after a duration of 1.5 s if the initial angular speed and angular acceleration are 0.6 rad s-1 and 1.0 rad s-2.

a)

3 rad

b)

2 rad

c)

1 rad

d)

4 rad

14.

Find the linear displacement of the 2 m radius wheel after a duration of 3 s if the initial angular speed and angular acceleration are 0.5 rad s-1 and 1.5 rad s-2.

a)

16.5 m

b)

8.3 m

c)

33 m

d)

4.2 m

15.

The linear velocity of the moving 3 cm radius ball after 5 s is 0.1 m s-1. Find the initial angular speed of the ball if the angular acceleration is 0.01 rad s-2.

a)

3.3 rad s-1

b)

0.4 rad s-1

c)

2.6 rad s-1

d)

5.7 rad s-1

16.

The final angular velocity of a moving wheel barrel is 30 rad s-1. Find the initial angular speed if the angular acceleration and the angular displacement are 10 rad s-2 and 45 rad respectively.

a)

start from rest

b)

20 rad s-1

c)

3 rad s-1

d)

0.5 rad s-1

17.

An airplane blades are rotating with an angular velocity of 110

rad/s. As the plane takes off, the angular velocity of the

blades reaches 330 rad/s in a time of 14 s. Find the

average angular acceleration.

a)

20.3 rad s120.3\ rad\ s^{-1}

b)

15.71 rad s115.71\ rad\ s^{-1}

c)

2.31 rad s12.31\ rad\ s^{-1}

d)

6.32 rad s16.32\ rad\ s^{-1}

18.

A fan blade with radius 0.6 m has an angular speed of 6.50 rad/s. Calculate its linear speed.

a)

10.83 ms-1

b)

0.09 ms-1

c)

3.9 ms-1

d)

17.32 ms-1

19.

Helicopter blade has a radius of 7 m and

has an angular acceleration of 1.30 rad s-2 . Calculate its tangential acceleration.

a)

23.33 ms-2

b)

0.04 ms-2

c)

1.32 ms-2

d)

9.1 ms-2

20.

A spinning top rotates at radius of 0.2 m and have an angular velocity of 1.2 rad s-1. Calculate its centripetal acceleration.

a)

29 rad s-2

b)

2.9 rad s-2

c)

0.24 rad s-2

d)

0.29 rad s-2

21.

ω = ωo +t\omega\ =\ \omega_o\ +\propto t  Which rotational motion equation is similar with linear motion equation ?

a)

v = u + atv\ =\ u\ +\ at  

b)

s = ut + 12at2s\ =\ ut\ +\ \frac{1}{2}at^2  

c)

v2 = u2 + 2asv^2\ =\ u^2\ +\ 2as  

d)

v = u + tv\ =\ u\ +\ \propto t  

22.

A wheel turns about its axis of rotation at uniform angular acceleration from the rest. Calculate the angular displacement after 4 s when the angular acceleration of the wheel is 1.5 rad s-2.

a)

12 rad

b)

10 rad

c)

20 rad

d)

11 rad

23.

A disc is rotated from rest with an angular velocity of disc is 7.5 rad s-1 and rotates 22 rad. Calculate the angular acceleration of the disc.

a)

1.28 rad s-2

b)

2.55 rad s-2

c)

5.11 rad s-2

d)

10.23 rad s-2