Q: A wheel starts from rest and accelerates at a constant angular acceleration $$\alpha. $$What is the angular displacement $$\theta$$ after time $$t$$?

$$\theta = \$$omega_0$$ t + \frac{1}{2}\alpha t^2$

Q: A block of gold is heated from $$20^\circC to$$ $$40^\circC. If $$its initial length is $$L_0 = 200$ cm and $$\alpha = 12 \times $$10^{-6}$$ / ^\circ$$C, what is the change in length?

$$\Delta L = L_0$ \alpha \Delta T = 200 \times 12 \times 10$$^{-6}$$ \times 20 = 0.048 cm$$

Q: Which equation represents Bernoulli's equation for fluid flow?

$$P + \frac{1}{2}\rho v^2$ + \rho g y = \text{constant}$$

Question 1

A solid disk of mass $$m$$ and radius $$R$$ rotates about its central axis. What is its moment of inertia?

Accepted Answer

$$I = \frac{1}{2}mR^2$

Question 2

A force $$\vec{F} is $$applied at a distance $$r$$ from the axis of rotation, making an angle $$	heta$$ with $$r. $$What is the magnitude of the torque produced?

Accepted Answer

$$	au = rF\sin	heta$$

Question 3

Which equation correctly relates angular velocity $$\omega to $$linear velocity $$v$$ for a point at radius $$R$$ from the axis of rotation?

Accepted Answer

$$v = \omega R$$

Question 4

A wheel starts from rest and accelerates at a constant angular acceleration $$\alpha. $$What is the angular displacement $$	heta$$ after time $$t$$?

Accepted Answer

$$	heta = \$$omega_0$$ t + \frac{1}{2}\alpha t^2$

Question 5

A uniform rod of length $$L$$ and mass $$m$$ rotates about an axis through one end perpendicular to its length. What is its moment of inertia?

Accepted Answer

$$I = \frac{1}{3}mL^2$

Question 6

Which of the following best describes the physical meaning of the coefficient of linear expansion $$\alpha$$?

Accepted Answer

It is the fractional change in length per unit change in temperature.

Question 7

A block of gold is heated from $$20^\circC to$$ $$40^\circC. If $$its initial length is $$L_0 = 200$ cm and $$\alpha = 12 	imes $$10^{-6}$$ / ^\circ$$C, what is the change in length?

Accepted Answer

$$\Delta L = L_0$ \alpha \Delta T = 200 	imes 12 	imes 10$$^{-6}$$ 	imes 20 = 0.048 cm$$

Question 8

Which statement about the zeroth law of thermodynamics is correct?

Accepted Answer

If two systems are in thermal equilibrium with a third system, they are in thermal equilibrium with each other.

Question 9

A gas at pressure $$P$$, volume $$V$$, and temperature $$T$$ obeys the ideal gas law. Which equation is correct?

Accepted Answer

$$PV = nRT$$

Question 10

A hydraulic lift uses Pascal's principle. If a force $$F_1 is $$applied to a piston of area $$A_1$$, what is the force $$F_2$$ exerted by a piston of area $$A_2$$?

Accepted Answer

$$F_2$$ = $$F_1$$ \frac{$$A_2$$}{$$A_1$$}$$

Question 11

A block is fully submerged in water. What is the buoyant force acting on it?

Accepted Answer

$$F_b = \rho_{water} V_{block} g$$

Question 12

Which equation represents Bernoulli's equation for fluid flow?

Accepted Answer

$$P + \frac{1}{2}ho v^2$ + ho g y = 	ext{constant}$$

Question 13

A gas undergoes an isothermal expansion. What is the work done by the gas?

Accepted Answer

$$W = nRT \ln \frac{V_f}{V_i}$$

Question 14

Which of the following is true for an adiabatic process in an ideal gas?

Accepted Answer

No heat is exchanged: $$Q = 0$$

Question 15

A 1.0 kg block of ice at $$0^\circC is $$melted by adding heat. If the latent heat of fusion is $$L_f = 79.7$$ cal/g, how much heat is required?

Accepted Answer

$$Q = 79,700$$ cal

Question 16

Which equation gives the average kinetic energy per molecule of an ideal gas?

Accepted Answer

$$E_k = \frac{3}{2}k_B T$$

Question 17

A metal rod expands in length when heated. If its initial length is $$L_0$$, temperature change is $$\Delta T$$, and coefficient of linear expansion is $$\alpha$$, what is its final length?

Accepted Answer

$$L = L_0$ (1 + \alpha \Delta T)$$

Question 18

Which of the following is NOT an assumption of the ideal gas model?

Accepted Answer

Gas particles have significant volume.

Rotational Motion, Fluids, and Thermodynamics: Structured Study Notes

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