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Honors Advanced Physics Final Study GuideCh. 8, 11, 13Chapter 8: Rotational Motion, Torque, Moment of InertiaFor this chapter:1 rev = 2π rad1 rev = 360°Angular displacement = θ (in radians)Angular velocity = ω (in rad/s)Angular acceleration = α (in rad/s2)A CD can reach a speed of 25.12 rad/s. When the device is searching for a song, it spins from rest to the angular speed in 1.2 s.What is the angular displacement of the disk during this time?Through how many revolutions does the disk turn during this time?A centrifuge accelerates uniformly from rest to 14,000 rpm in 240 s. Through how many revolutions did it turn in this time?A bolt in a table saw needs to be tightened. Jim applies a force of 82 N with a wrench that is held 60 degrees from the perpendicular and is 42 cm long. What torque does the wrench exert on the bolt?What would the torque of the same wrench be if Jim applied the same amount of force 90 degrees perpendicular to the wrench?A wheel with a radius of 34 cm is initially rotating at 250rpm. It is brought to rest in 23s. What is the angular acceleration of the wheel?A person exerts a force of 16N on the end of a 7.6cm long wrench. What is the torque exerted?An artist sits down at a potter’s wheel to begin working on a clay pot. The wheel spins at a constant speed of 400 rpm. If it takes the artist 12min to complete the pottery project, through how many revolutions did the wheel spin?What is the linear velocity of a wheel spinning at 54 rad/s if the wheel has a diameter of 25 cm?A hula hoop has a radius of 1.03m, and a mass of 34g. What is the hoop’s moment of inertia?A meter stick is suspended at the 50cm mark. If a mass of 2.4kg is hanging from the 15cm mark, and a 3.0 kg mass is hanging from the other side, and what point along the meter stick is the second mass hanging?Find the torque produced by a 63N force being applied at an angle of 65? at a distance that is 35cm from the axis point.What is the angular displacement of the second hand of a watch after 32s?A child is sitting at a distance of 1.05m from the center of a rotating merry go round. If the child’s linear velocity is 4.2m/s, what is the angular velocity of the merry go round?Chapter 11: Waves and VibrationsFor this chapter:Frequency and Period of SHO’s and Simple Pendulumf = Hz, T = sFind the frequency & Period for the following objects:A spring makes 45 oscillations in 19.3 secondsA pendulum makes 1 oscillation in 2.3 secondsA simple pendulum has a length of 1.2m, and makes 2 oscillations in 5.4s. What is the acceleration due to gravity at this location?A 3.5g bullet is stored on a spring with spring constant 250N/m, and is compressed 2.3cm. What will the speed of the bullet be as the spring is fired?Find the spring constant of a car spring if the car compresses 5.3cm when a 8.65 kg object is set in the car, and it bounces with a frequency of 2.16Hz.Find the period of a simple pendulum if the acceleration due to gravity is 2.3m/s2 and the length of the pendulum is 0.87m.A fishing scale stretches 1.8cm when a 3.1kg fish hangs from it. What is the spring constant of the scale?An object with a mass of 10.3kg is vibrating in simple harmonic motion. If the object has a frequency of 0.68Hz, and a displacement of 15.4cm, what is the force that started the motion?A simple pendulum is released from a height of .40m above equilibrium. If the length of the pendulum is 5.6m, from what angle was the pendulum released?Using the pendulum from the previous problem – if the mass on the end of the string is .60kg, what is the speed as it swings through the equilibrium point (assume only KE at equilibrium)Chapter 13: Thermal Expansion, Gas Laws, Kinetic TheoryFor this chapter:I will give you the pressure conversions for the gas lawsYou must know “R” = .0821 for ideal gas lawA steel beam of 12.0m sits next to a concrete wall when the temperature is 20.0°C. A gap must be left between the beam and the concrete wall for expansion purposes. If the temperature rises to 45.0°C, how large must the gap be if the steel beam just touches the concrete wall?There are 500 m3 of air in a shop at 20°C. What is the difference in volume if the temperature is 0°C?An metal rod .50 m is heated from 15°C to 95°C. The length of the rod increases by 0.96 mm. What is the coefficient of expansion for the rod? What material is the rod made of?In a 4L container, 35g of carbon dioxide are heated to 60?C. What is the pressure inside the container if the substance acts as an ideal gas?A brass ring with a diameter of 5.48cm at 20?C needs to fit over a rod of 5.56cm. If the ring needs to be .004cm wider than the rod, to what temperature does the ring need to be heated?An ordinary glass is filled to the brim with 350mL of water at 100?C. If the temperature is decreased to 20?C, how much water could be added to the glass? Assume the glass itself does not expand/contract.Find the molar mass of 10.0g of an ideal gas that is found in a 3.4L container at 300K and 25.4psi of pressure. ................
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