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ROTATIONAL MOTION OF RIGID BODY

Total questions: 13

Worksheet time: 22mins

Name
Class
Date
1.

Convert 10 rev s-1 into rad s-1

a)

20π rad s120\pi\ rad\ \ s^{-1}

b)

40π rad s140\pi\ rad\ \ s^{-1}

c)

30π rad s130\pi\ rad\ \ s^{-1}

d)

10π rad s110\pi\ rad\ \ s^{-1}

2.

A gymnast on a high bar swings through two revolutions in

a time of 2.50 s. Find the average angular velocity (in rev/s)

of the gymnast.

a)

0.8 rev s10.8\ rev\ s^{-1}

b)

5 rev s15\ rev\ s^{-1}

c)

1.25 rev s11.25\ rev\ s^{-1}

d)

0.33 rev s10.33\ rev\ s^{-1}

3.

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}

4.

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

5.

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

6.

 1 revolution = 2π rad1\ revolution\ =\ 2\pi\ rad  

A fan with radius of 1.5 m, rotates for 3 revolution. Calculate the displacement (arc length) for the rotational motion.

a)

4.5 m

b)

28.27 m

c)

12.57 m

d)

0.08 m

7.

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

8.

 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  

9.

 θ = ωot + 12t2\theta\ =\ \omega_ot\ +\ \frac{1}{2}\propto t^2  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  

10.

 ω2 = ωo2  + 2θ\omega^2\ =\ \omega_o^2\ \ +\ 2\propto\theta  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  

11.

The electric drill has a

constant angular acceleration of 2.50 rad s-2 . The initial

angular velocity of the drill is 5.00 rad s-1. Calculate the angular velocity after 4.0 s.

a)

1.5 rad s-1

b)

15 rad s-1

c)

150 rad s-1

d)

0.15 rad s-1

12.

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

13.

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