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Rotation, Angular Momentum & Elasticity

Total questions: 24

Worksheet time: 15mins

Name
Class
Date
1.

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

2.

You and a friend are playing on the merry- go-round. You stand at the outer edge of the merry-go-round and your friend stands halfway between the outer edge and the center. Assume the rotation rate of the merry-go-round is constant. Who has the greatest angular velocity?

a)

You

b)

Same

c)

Your friend

3.

The formula used to find a torque is...

a)

(m)(g)

b)

(F) cos(Ɵ)

c)

(F)(r)( sin θ\theta  )

d)

(m)(a)

4.

If a system is in static equilibrium, it must have the following 2 conditions:

a)

∑τ=0

b)

Constant acceleration

c)

∑F=0

d)

Positive forces only

5.

A disc is rotating about its axis. The angular velocity decreases with time. what is the direction of the angular acceleration? (Hint: Deceleration)

a)

Following the direction of rotation.

b)

The same direction of angular velocity.

c)

Opposite direction of angular velocity.

6.

The basic unit for torque is …..

a)

kgms-1

b)

kgms-2

c)

kgm2s-2

d)

kgms-3

7.

What is happening to the ice skater?

a)

Decreased Angular velocity, decreased rotational inertia

b)

Decreased Angular velocity, increased rotational inertia

c)

Increased Angular velocity, increased rotational inertia

d)

Increased Angular velocity, decreased rotational inertia

8.

Which of these items is easier to turn?

a)

Left

b)

Right

c)

Both are just as easy to turn

9.
What does this formula measure?
a)
moment of inertia
b)
impulse
c)
electric current
d)
angular momentum
10.

Find the angular momentum for a 5 kg solid cylinder with a 20 cm radius rotating at 3 rad/s.

a)

3000 kg-m2/sec

b)

0.3 kg-m2/sec

c)

0.6 kg-m2/sec

d)

1.2 kg-m2/sec

11.

CONSERVATION OF ANGULAR MOMENTUM. A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m. If it is rotating with an angular velocity of 3.14 rad/s, What is its angular velocity after a 22.0-kg child gets onto it by grabbing its outer edge? Consider the merry-go-round as a solid cylinder.

a)

3.14 rad/s

b)

2.3 rad/s

c)

2 rad/s

d)

3.65 rad/s

12.
In order to do a lot of flips an Olympic diver would want:
a)
A high rotational inertia
b)
A low rotational inertia
c)
A low linear acceleration
d)
A low angular velocity
13.

A disc rotates through 20 revolutions in 5 seconds. If the disc starts from rest, what is the final angular velocity?

a)

5 revolutions /s

b)

100 revolutions /s

c)

8 revolutions /s

d)

10 revolutions /s

14.

When a torque acting upon a system is zero. Which of the following will be constant?

a)

Force

b)

Linear impulse

c)

Linear momentum

d)

Angular momentum

15.
Which would have a greater linear velocity?
a)
Kid near the center of the merry go round
b)
Kid near the outside of the merry go round
c)
neither
16.
The drive chain in a bicycle is applying a torque of 0.850 N ∙ m to the wheel of the bicycle. You can treat the wheel as a thin uniform hoop (or ring) with a mass of 0.750 kg and a radius of 33.0 cm. What is the angular acceleration of the wheel?
a)
10.4 rad/s2
b)
3.43 rad/s2
c)
5.20 rad/s2
d)
1.06 rad/s2
17.

What is the dimensional formula for young's modulus?

a)

[M L-1 T-2]

b)

[M0 L T-2]

c)

[M L T-2]

d)

[M L2 T-2]

18.

Which of the following accurately expresses strain dimensionally?

a)

[M0 L1 T0]

b)

[M0 L0 T0]

c)

[M-2 L1 T1]

d)

[M1 L0 T0]

19.

Tensile strain belongs to which of the following options?

a)

Increase in volume / original volume

b)

Decrease in length / original length

c)

Increase in length / original length

d)

None of the above

20.

Young's modulus is defined by;

a)

Tensile strain/Tesnsile stress

b)

Tensile stress x Tensile strain

c)

Tensile stress / Tensile strain

d)

Length / area

21.

A 2m wire extends by 4mm what is the strain?

a)

0.5

b)

2x10-3

c)

2x10-6

d)

0.005

22.

Given the Young's modulus of elasticity below rank the metals according to the magnitude of tensile stress it can hold from highest to lowest.

Aluminum 69 GPa

Brass 125 GPa

Steel 200 GPa

a)

Aluminum, Brass, Steel

b)

Brass, Aluminum, Steel

c)

Steel, Brass, Aluminum

23.

How much force is required to shear off a metal sheet whose thickness is 2mm and width of 40cm? The shear stress is 5 x 107 N/m2.

a)

400 kN

b)

40 kN

c)

4 kN

24.

A balloon 's volume decreases by 1% when its pressure is increased by 80%. So its Bulk modulus is

a)

80 unit

b)

1/80 unit

c)

1 unit

d)

800 unit