College Physics 1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: Paul Peter Urone, Roger Hinrichs
1 Introduction: The Nature Of Science And Physics 2 Kinematics 3 Two-dimensional Kinematics 4 Dynamics: Force And Newton's Laws Of Motion 5 Further Applications Of Newton's Laws: Friction, Drag, And Elasticity 6 Uniform Circular Motion And Gravitation 7 Work, Energy, And Energy Resources 8 Linear Momentum And Collisions 9 Statics And Torque 10 Rotational Motion And Angular Momentum 11 Fluid Statics 12 Fluid Dynamics And Its Biological And Medical Applications 13 Temperature, Kinetic Theory, And The Gas Laws 14 Heat And Heat Transfer Methods 15 Thermodynamics 16 Oscillatory Motion And Waves 17 Physics Of Hearing 18 Electric Charge And Electric Field 19 Electric Potential And Electric Field 20 Electric Current, Resistance, And Ohm's Law 21 Circuits And Dc Instruments 22 Magnetism 23 Electromagnetic Induction, Ac Circuits, And Electrical Technologies 24 Electromagnetic Waves 25 Geometric Optics 26 Vision And Optical Instruments 27 Wave Optics 28 Special Relativity 29 Introduction To Quantum Physics 30 Atomic Physics 31 Radioactivity And Nuclear Physics 32 Medical Applications Of Nuclear Physics 33 Particle Physics 34 Frontiers Of Physics Chapter10: Rotational Motion And Angular Momentum
Chapter Questions Section: Chapter Questions
Problem 1CQ: Analogies exist between rotational and translational physical quantities. Identity the rotational... Problem 2CQ: Explain why centripetal acceleration changes the direction of velocity in circular motion but not... Problem 3CQ: In circular motion, a tangential acceleration can change the magnitude of the velocity but not its... Problem 4CQ: Suppose a Piece of food is on the edge of a rotating microwave oven plate. Does it experience... Problem 5CQ: The moment of inertia of a long rod spun around an axis through one end perpendicular to its length... Problem 6CQ: Why is the moment of inertia of a hoop that has a mass M and a radius R greater than the moment of... Problem 7CQ: Give an example in which anal forte exerts a large torque. Give another example in which a large... Problem 8CQ: While reducing the mass of a racing bike, the greatest benefit is realized from reducing the mass of... Problem 9CQ: A ball slides up a frictionless ramp. It is then rolled without slipping and with the same initial... Problem 10CQ: Describe the energy transformations involved when a yo-yo is thrown downward and then climbs back up... Problem 11CQ: What energy transformations are involved when a dragster engine is revved, its clutch let out... Problem 12CQ: The Earth has more rotational kinetic energy now than did the cloud of gas and dust from which it... Problem 13CQ: When you start the engine of your car with the transmission in neutral, you notice that the car... Problem 14CQ: Suppose a child walks from the outer edge of a rotating merry-go round to the inside. Does the... Problem 15CQ: Suppose a child gets off a rotating merry-go-round, Does the angular velocity of the merry-go-round... Problem 16CQ: Helicopters have a small propeller on their tail to keep them from rotating in the opposite... Problem 17CQ: Whenever a helicopter has two sets of lifting blades, they rotate in opposite directions (and there... Problem 18CQ: Describe how work is done by a skater pulling in her arms during a spin. In particular, identify the... Problem 19CQ: When there is a global heating trend on Earth, the atmosphere expands and the length of the day... Problem 20CQ: Nearly all conventional piston engines have flywheels on them to smooth out engine vibrations caused... Problem 21CQ: Jet turbines spin rapidly. They are designed to fly apart if something makes them seize suddenly,... Problem 22CQ: An astronaut tightens a bolt on a satellite in orbit. He rotates in a direction opposite to that of... Problem 23CQ: Competitive divers pull their limbs in and curl up their bodies when they do flips. Just before... Problem 24CQ: Draw a free body diagram to show how a diver gains angular momentum when leaving the diving board. Problem 25CQ: In terms of angular momentum, what is the advantage of giving a football or a rifle bullet a spin... Problem 26CQ: Describe different collisions—one in in which angular momentum is conserved, and the other in which... Problem 27CQ: Suppose an ice hockey puck strikes a hockey stick that lies flat on the Ice and is free to move in... Problem 28CQ: While driving his motorcycle at highway speed, a physics student notices that pulling back lightly... Problem 29CQ: While driving his motorcycle at highway speed, a physics student notices that pulling back lightly... Problem 30CQ: Gyroscopes used in guidance systems to indicate directions must have an angular momentum that does... Problem 1PE: At its peak, a tornado is 60.0 m in diameter and carries 500 km/h winds. What is its angular... Problem 2PE: Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is... Problem 3PE: Integrated Concepts You have a grindstone (a disk) that is 90.0 kg, has a 0.340-m radius, and is... Problem 4PE: Unreasonable Results You are told that a basketball player spins the ball with an angular... Problem 5PE: With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s. (a) What is... Problem 6PE: Suppose a piece of dust finds itself on a CD. If the spin rate of the CD is 500 rpm, and the piece... Problem 7PE: A gyroscope slows from an initial rate of 32.0 rad/s at a rate of 0.700 rad/s2. (a) How long does it... Problem 8PE: During a very quick stop, a car decelerates at 7.00 m/s2. (a) What is the angular acceleration of... Problem 9PE: Everyday application: Suppose a yo-yo has a center shaft that has a 0.250 cm radius and that its... Problem 10PE: This problem considers additional aspects of example Calculating the Effect of Mass Distribution on... Problem 11PE: Calculate the moment of inertia of a skater given the following information. (a) The 60.0-kg skater... Problem 12PE: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional... Problem 13PE: A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above... Problem 14PE: Suppose you exert a force of 180 N tangential to a 0.280-m-radius 75.0-kg grindstone (a solid disk).... Problem 15PE: Consider the 12.0 kg motorcycle wheel shown in Figure 10.38. Assume it to be approximately an... Problem 16PE: Zorch, an archenemy of Superman, decides to slow Earth's rotation to once per 28.0 h by exerting an... Problem 17PE: An automobile engine can produce 200 N m of torque. Calculate the angular acceleration produced if... Problem 18PE: Starting with the formula for the moment of inertia of a rod rotated around an axis through one end... Problem 19PE: Unreasonable Results A gymnast doing a forward flip lands on the mat and exerts a 500- Nm torque to... Problem 20PE: Unreasonable Results An advertisement claims that an 800-kg car is aided by its 20.0-kg flywheel,... Problem 21PE: This problem considers energy and work aspects of Example 10.7—use data from that example as needed.... Problem 22PE: What is the final velocity of a hoop that rolls without slipping down a 5.00-m-high hill, starting... Problem 23PE: (a) Calculate the rotational kinetic energy of Earth on its axis. (b) What is the rotational kinetic... Problem 24PE: Calculate the rotational kinetic energy in the motorcycle wheel (Figure 10.38) if its angular... Problem 25PE: A baseball pitcher throws the ball in a motion where there is rotation of the forearm about the... Problem 26PE: While punting a football, a kicker rotates his leg about the hip joint. The moment of inertia of the... Problem 27PE: A bus contains a 1500 kg flywheel (a disk that has a 0.600 m radius) and has a total mass of 10,000... Problem 28PE: A ball with an initial velocity of 8.00 m/s rolls up a hill without slipping. Treating the ball as a... Problem 29PE: While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one... Problem 30PE: To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle... Problem 31PE: Consider two cylinders that start down identical inclines from rest except that one is frictionless.... Problem 32PE: What is the moment of inertia of an object that rolls without slipping down a 2.00-m-high incline... Problem 33PE: Suppose a 200-kg motorcycle has two wheels like, the one described in Problem 10.15 and is heading... Problem 34PE: In softball, the pitcher throws with the arm fully extended (straight at the elbow). In a fast pitch... Problem 35PE: Construct Your Own Problem Consider the work done by a spinning skater pulling her arms in to... Problem 36PE: (a) Calculate the angular momentum of the Earth in its orbit around the Sun. (b) Compare this... Problem 37PE: (a) What is the angular momentum of the Moon in its orbit around Earth? (b) How does this angular... Problem 38PE: Suppose you start an antique car by exerting a force of 300 N on its crank for 0.250 s. What angular... Problem 39PE: A playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an... Problem 40PE: Three children are riding on the edge of a merry-go-round that is 100 kg, has a 1.60-m radius, and... Problem 41PE: (a) Calculate the angular momentum of an ice skater spinning at 6.00 re/s given his moment of... Problem 42PE: Consider the Earth-Moon system. Construct a problem in which you calculate the total angular... Problem 43PE: Repeat Example 10.15 in which the disk strikes and adheres to the stick 0.100 m from the nail. Problem 44PE: Repeat Example 10.15 in which the disk originally spins clockwise at 1000 rpm and has a radius of... Problem 45PE: Twin skaters approach one another as shown in Figure 10.39 and lock hands. (a) Calculate their final... Problem 46PE: Suppose a 0.250-kg ball is thrown at 15.0 m/s to a motionless person standing on ice who catches it... Problem 47PE: Repeat Example 10.15 in which the stick is free to have translational motion as well as rotational... Problem 48PE: Integrated Concepts The axis of Earth makes a 23.5° angle with a direction perpendicular to the... Problem 2PE: Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is...
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Concept explainers
An ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min.
(a) What is its angular acceleration in rad/s2? 2
(b) What is the tangential acceleration of a point 10.7 cm from the axis of rotation?2
(d) Express this radial acceleration as a multiple of g.
Transcribed Image Text: An ultracentrifuge accelerates from rest to 100,000 rpm in 2.30 min.
(a) What is its angular acceleration in rad/s??
rad/s2
(b) What is the tangential acceleration of a point 10.7 cm from the axis of rotation?
m/s2
(d) Express this radial acceleration as a multiple of g.
Definition Definition Rate of change of angular velocity. Angular acceleration indicates how fast the angular velocity changes over time. It is a vector quantity and has both magnitude and direction. Magnitude is represented by the length of the vector and direction is represented by the right-hand thumb rule. An angular acceleration vector will be always perpendicular to the plane of rotation. Angular acceleration is generally denoted by the Greek letter α and its SI unit is rad/s 2 .
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