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AP Physics 1 Rotational Dynamics

Total questions: 9

Worksheet time: 45mins

Name
Class
Date
1.

Four objects are held in position at the corners of a rectangle by light rods as shown. Find the moment of inertia of the system about the x-axis.

a)

99.0 kg·m2

b)

44.0 kg·m2

c)

143 kg·m2

d)

63 kg·m2

2.

Four objects are held in position at the corners of a rectangle by light rods as shown. Find the moment of inertia of the system about the y-axis.

a)

99.0 kg·m2

b)

44.0 kg·m2

c)

143 kg·m2

d)

63 kg·m2

3.

Four objects are held in position at the corners of a rectangle by light rods as shown. Find the moment of inertia of the system about an axis through O and perpendicular to the page.

a)

99.0 kg·m2

b)

44.0 kg·m2

c)

143 kg·m2

d)

63 kg·m2

4.

A large grinding wheel in the shape of a solid cylinder (I=12MR2)\left(I=\frac{1}{2}MR^2\right)  of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. What is the moment of inertia of the wheel?

a)

87.8 kg·m2

b)

0.0114 kg·m2

c)

712 kg·m2

d)

806 kg·m2

5.

A large grinding wheel in the shape of a solid cylinder  (I=12MR2)\left(I=\frac{1}{2}MR^2\right)  of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. What is the mass of the wheel?

a)

1.61 x 10 3 kg

b)

4.88 x 10 3 kg

c)

266 kg

d)

532 kg

6.

A large grinding wheel in the shape of a solid cylinder  (I=12MR2)\left(I=\frac{1}{2}MR^2\right)  of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 250 N applied to its edge causes the wheel to have an angular acceleration of 0.940 rad/s2. If the wheel starts from rest, what is its angular velocity after 5.00 s have elapsed, assuming the
force is acting during that time?

a)

4.70 rad/s

b)

11.8 rad/s

c)

23.5 rad/s

d)

5.32 rad/s

7.

A potter’s wheel having a radius of 0.50 m and a moment

of inertia of 12 kg ·m2 is rotating freely at 50 rev/min. The

potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and exerting a radially inward force of 70 N. Find the acceleration of the wheel.

a)

- 0.87 rad/s2

b)

-8.33 rad/s2

c)

-52.4 rad/s2

d)

-3.14 x 103 rad/s2

8.

A potter’s wheel having a radius of 0.50 m and a moment

of inertia of 12 kg ·m2 is rotating freely at 50 rev/min. The

potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and exerting a radially inward force of 70 N. Find the magnitude of the net torque on the wheel.

a)

35 N·m

b)

140 N·m

c)

70 N·m

d)

11 N·m

9.

A potter’s wheel having a radius of 0.50 m and a moment

of inertia of 12 kg ·m2 is rotating freely at 50 rev/min. The

potter can stop the wheel in 6.0 s by pressing a wet rag against the rim and exerting a radially inward force of 70 N. Find the effective coefficient of kinetic friction between the wheel and the wet rag.

a)

3.3

b)

0.50

c)

1.0 N·m

d)

0.30