Question

QUESTION 4

A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If the cylinder has a mass of 10 kg, what is its moment of inertia?

	a.	1.30 kg m^2
	b.	3.00 kg m^2
	c.	1.25 kg m^2
	d.	1.20 kg m^2

QUESTION 5

A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. What is the rotational (angular) speed of the cylinder?

	a.	0.4 rad/s
	b.	40.0 rad/s
	c.	8.0 rad/s
	d.	2.0 rad/s

QUESTION 6

A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If the cylinder has a mass of 10 kg, what is its total kinetic energy?

	a.	121.6 J
	b.	38.4 J
	c.	80.0 J
	d.	41.6 J

Answer 1

Mass of the cylinder = M = 10 kg

Inner radius of the cylinder = R₁ = 10 cm = 0.1 m

Outer radius of the cylinder = R₂ = 50 cm = 0.5 m

Moment of inertia of the cylinder = I

I = 1.3 kg.m²

Speed of the cylinder = V = 4 m/s

Angular speed of the cylinder =

= 8 rad/s

Total kinetic energy of the cylinder = E

E = MV²/2 + I²/2

E = (10)(4)²/2 + (1.3)(8)²/2

E = 121.6 J

4) Moment of inertia of the cylinder = 1.3 kg.m²

5) Angular speed of the cylinder = 8 rad/s

6) Total kinetic energy of the cylinder = 121.6 J