Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 4.35P
Casting molten metal is important in many industrial processes. Centrifugal casting is used for manufacturing pipes, bearings, and many other structures. A variety of sophisticated techniques have been invented, but the basic idea is as illustrated in Figure P4.35. A cylindrical enclosure is rotated rapidly and steadily about a horizontal axis. Molten metal is poured into the rotating cylinder and then cooled, forming the finished product. Turning the cylinder at a high rotation rate forces the solidifying metal strongly to the outside. Any bubbles are displaced toward the axis, so unwanted voids will not be present in the casting. Sometimes it is desirable to form a composite casting, such as for a bearing. Here a strong steel outer surface is poured and then inside it a lining of special low-friction metal. In some applications, a very strong metal is given a coating of corrosion-resistant metal. Centrifugal casting results in strong bonding between the layers.
Suppose a copper sleeve of inner radius 2.10 cm and outer radius 2.20 cm is to be cast. To eliminate bubbles and give high structural integrity, the centripetal acceleration of each bit of metal should be at least 100g. What rate of rotation is required? State the answer in revolutions per minute.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
NASA uses a plane often called the "vomit comet" to reproduce the effects of low gravity in space during astronaut training. The plane moves in circular arcs at a speed of v = 218 m/s.What is the radius the pilot must fly to create weightlessness as they go around the top of the circular arc? Give your answer in meters.
A puck of mass m = 0.085 kg is moving in a circle on a horizontal frictionless surface. It is held in its path by a massless string of length L = 0.44 m. The puck makes one revolution every t = 0.35 s.
a. What is the magnitude of the tension in the string, in newtons, while the puck revolves?
b. The string breaks suddenly. How fast, in meters per second, does the puck move away?
A puck of mass m=0.095 kg is moving in a circle on a horizontal frictionless surface. It is held in its path by a massless string of length L=0.63 m. The puck makes one revolution every t=0.65 s.
1. What is the magnitude of the tension in the string, in newtons, while the puck revolves?
2. The string breaks suddenly. How fast, in meters per second, does the puck move away?
Chapter 4 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Ch. 4 - Consider the following controls in an automobile...Ch. 4 - (i) As a projectile thrown at an upward angle...Ch. 4 - Rank the launch angles for the five paths in...Ch. 4 - A particle moves in a circular path of radius r...Ch. 4 - A particle moves along a path, and its speed...Ch. 4 - Figure OQ4.1 shows a bird's-eye view of a car...Ch. 4 - Entering his dorm room, a student tosses his book...Ch. 4 - A student throws a heavy red ball horizontally...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - Does a car moving around a circular track with...
Ch. 4 - An astronaut hits a golf ball on the Moon. Which...Ch. 4 - A projectile is launched on the Earth with a...Ch. 4 - A girl, moving at 8 m/s on in-line skates, is...Ch. 4 - A sailor drops a wrench front the top of a...Ch. 4 - A baseball is thrown from the outfield toward the...Ch. 4 - Prob. 4.11OQCh. 4 - Prob. 4.12OQCh. 4 - In which of the following situations is the moving...Ch. 4 - Prob. 4.1CQCh. 4 - Ail ice skater is executing a figure eight,...Ch. 4 - If you know the position vectors of a particle at...Ch. 4 - Describe how a driver can steer a car traveling at...Ch. 4 - Prob. 4.5CQCh. 4 - Prob. 4.6CQCh. 4 - Explain whether or not the following particles...Ch. 4 - A motorist drives south at 20.0 m/s for 3.00 min,...Ch. 4 - When the Sun is directly overhead, a hawk dives...Ch. 4 - Suppose the position vector for a particle is...Ch. 4 - The coordinates of an object moving in the xy...Ch. 4 - A golf ball is hit off a tee at the edge of a...Ch. 4 - A particle initially located at the origin has an...Ch. 4 - The vector position of a particle varies in time...Ch. 4 - It is not possible to see very small objects, such...Ch. 4 - A fish swimming in a horizontal plane has velocity...Ch. 4 - Review. A snowmobile is originally at the point...Ch. 4 - Mayan kings and many school sports teams are named...Ch. 4 - An astronaut on a strange planet finds that she...Ch. 4 - In a local bar, a customer slides an empty beer...Ch. 4 - In a local bar. a customer slides an empty beer...Ch. 4 - A projectile is fired in such a way that its...Ch. 4 - To start an avalanche on a mountain slope, an...Ch. 4 - Chinook salmon are able to move through water...Ch. 4 - A rock is thrown upward from level ground in such...Ch. 4 - The speed of a projectile when it reaches its...Ch. 4 - A ball is tossed from an upper-story window of a...Ch. 4 - A firefighter, a distance d from a burning...Ch. 4 - A landscape architect is planning an artificial...Ch. 4 - A placekicker must kick a football from a point...Ch. 4 - A basketball star covers 2.80 m horizontally in a...Ch. 4 - A playground is on the flat roof of a city school,...Ch. 4 - The motion of a human body through space can be...Ch. 4 - A soccer player kicks a rock horizontally off a...Ch. 4 - A projectile is fired from the top of a cliff of...Ch. 4 - A student stands at the edge of a cliff and throws...Ch. 4 - The record distance in the sport of throwing...Ch. 4 - A boy stands on a diving board and tosses a stone...Ch. 4 - A home run is hit in such a way that the baseball...Ch. 4 - The athlete shown in Figure P4.21 rotates a...Ch. 4 - In Example 4.6, we found the centripetal...Ch. 4 - Casting molten metal is important in many...Ch. 4 - A tire 0.500 m in radius rotates at a constant...Ch. 4 - Review. The 20-g centrifuge at NASAs Ames Research...Ch. 4 - An athlete swings a ball, connected to the end of...Ch. 4 - The astronaut orbiting the Earth in Figure P4.19...Ch. 4 - Section 4.5 Tangential and Radial Acceleration...Ch. 4 - A train slows down as it rounds a sharp horizontal...Ch. 4 - A ball swings counterclockwise in a vertical...Ch. 4 - (a) Can a particle moving with instantaneous speed...Ch. 4 - The pilot of an airplane notes that the compass...Ch. 4 - An airplane maintains a speed of 630 km/h relative...Ch. 4 - A moving beltway at an airport has a speed 1 and a...Ch. 4 - A police car traveling at 95.0 km/h is traveling...Ch. 4 - A car travels due east with a speed of 50.0 km/h....Ch. 4 - A bolt drops from the ceiling of a moving train...Ch. 4 - A river has a steady speed of 0.500 m/s. A student...Ch. 4 - A river flows with a steady speed v. A student...Ch. 4 - A Coast Guard cutter detects an unidentified ship...Ch. 4 - A science student is riding on a flatcar of a...Ch. 4 - A farm truck moves due east with a constant...Ch. 4 - A ball on the end of a string is whirled around in...Ch. 4 - A ball is thrown with an initial speed i at an...Ch. 4 - Why is the following situation impassible? A...Ch. 4 - A particle starts from the origin with velocity...Ch. 4 - The Vomit Comet. In microgravity astronaut...Ch. 4 - A basketball player is standing on the floor 10.0...Ch. 4 - Lisa in her Lamborghini accelerates at...Ch. 4 - A boy throws a stone horizontally from the top of...Ch. 4 - A flea is at point on a horizontal turntable,...Ch. 4 - Towns A and B in Figure P4.64 are 80.0 km apart. A...Ch. 4 - A catapult launches a rocket at an angle of 53.0...Ch. 4 - A cannon with a muzzle speed of 1 000 m/s is used...Ch. 4 - Why is the following situation impossible? Albert...Ch. 4 - As some molten metal splashes, one droplet flies...Ch. 4 - An astronaut on the surface of the Moon fires a...Ch. 4 - A pendulum with a cord of length r = 1.00 m swings...Ch. 4 - A hawk is flying horizontally at 10.0 m/s in a...Ch. 4 - A projectile is launched from the point (x = 0, y...Ch. 4 - A spring cannon is located at the edge of a table...Ch. 4 - An outfielder throws a baseball to his catcher in...Ch. 4 - A World War II bomber flies horizontally over...Ch. 4 - A truck loaded with cannonball watermelons stops...Ch. 4 - A car is parked on a steep incline, making an...Ch. 4 - An aging coyote cannot run fast enough to catch a...Ch. 4 - A fisherman sets out upstream on a river. His...Ch. 4 - Do not hurt yourself; do not strike your hand...Ch. 4 - A skier leaves the ramp of a ski jump with a...Ch. 4 - Two swimmers, Chris and Sarah, start together at...Ch. 4 - The water in a river flows uniformly at a constant...Ch. 4 - A person standing at the top of a hemispherical...Ch. 4 - A dive-bomber has a velocity or 280 m/s at ail...Ch. 4 - A projectile is fired up an incline (incline angle...Ch. 4 - A fireworks rocket explodes at height h, the peak...Ch. 4 - In the What If? section of Example 4.5, it was...Ch. 4 - An enemy ship is on the east side of a mountain...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- You're out in space, on a rotating wheel-shaped space station of radius 1426 m. You feel planted firmly on the floor due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.083 rpm 118.3 rpm 0.554 rpm 0.792 rpmarrow_forwardYou re out in space, on a rotating wheel-shaped space station of radius 679 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.120 rpm 81.6 rpm 0.459 rpm 1.148 rpmarrow_forwardDifferent situation now. You re out in space, on a rotating wheel-shaped space station of radius 1030 m. You feel planted firmly on the floor , due to artificial gravity. The gravity you experience is Earth-normal, that is, g = 9.81 m/s^2. How fast is the space station rotating in order to produce this much artificial gravity? Express your answer in revolutions per minute (rpm). 0.652 rpm 0.932 rpm 0.098 rpm 100.5 rpmarrow_forward
- A light, rigid rod is 50.2 cm long. Its top end is pivoted on a frictionless horizontal axle. The rod hangs straight down at rest with a small, massive ball attached to its bottom end. You strike the ball, suddenly giving it a horizontal velocity so that it swings around in a full circle. What minimum speed at the bottom is required to make the ball go over the top of the circle? m/sarrow_forwardA bob of mass m is suspended from a fixed point with a massless string of length L (i.e., it is a pendulum). You are to investigate the motion in which the string moves in a cone with half-angle θ. a. What tangential speed, v, must the bob have so that it moves in a horizontal circle with the string always making an angle θ from the vertical? b. How long does it take the bob to make one full revolution (one complete trip around the circle)? Express your answer in terms of some or all of the variables m, L, and θ, as well as the free-fall acceleration g.arrow_forwardA 2.50 kg wooden block is tied to a rope and spun in a circular path of radius 1.08 m. The block obtains a maximum speed of 10.0 m/s. What is the magnitude of the maximum radial acceleration (in m/s2) of the block?arrow_forward
- You are swinging a tennis ball attached to a 55 cm long cord, swinging the tennis ball in a circle. As you swing the tennis ball, the force of tension in the cord keeps the tennis ball in a circular path. The mass of the tennis ball is 0.25 kg, and as it swings around, speed of the tennis ball is 3.8 m/s. What is the force of tension in the cord? (the unit of force is the 'Newton' )arrow_forwardThe mass of Venus is 81.5% that of the earth and its radius is 94.9% that of the earth. A. Compute the acceleration due to gravity on the surface of Venus from these data. B. What is the weight of a 5.0 kg rock on the surface of Venus?arrow_forwardHow many years does it take for planet to go around the sun if its distance is 2.1 times away from the sun as the earth is. A 80 kg person, from the top of a 13 m cliff, throws a 100 g ball at an angle of 30 degrees above the horizontal. With what speed will the ball hit the ground below? (g = 9.8 m/s2).arrow_forward
- A car is traveling at constant speed of v = 11.5 m/s. Its tires have a diameter of d = 0.68 m. v = 11.5 m/sd = 0.68 m a. Consider a point on the outer edge of the tire. What is the centripetal acceleration, ac, at this point in m/s2? ac=389 b. If the car was traveling twice as fast, what would be the numerical value of the ratio of the new centripetal acceleration, an, to the old centripetal acceleration? an/ac =arrow_forwardQ3. We examine the projectile motion of a disk on an inclined plane that makes an angle o (sin o = 0.1) with the horizontal. The y-axis is oriented along the inclined plane and the x-axis along the plane perpendicular to the y-axis, as shown in the figure. At t = 0, the disk is thrown from the origin of the coordinate system with an initial velocity V that makes the angle 0 = 53° with the x-axis (sin 53° = 0,8, cos 53° = 0,6). The frequency of the spark timer is 10 Hz. Using the measurement results in the following table: Figure 2 E() 0,0 0,1 0,2 0,0 3,75| 7,5 11,25 15,0 | 18,75 22,5 0,3 0,4 0,5 0,6 0,7 0,8 0,9 1,0 26,25 30,0 33,75 37,5 (cm) y (cm) 4,5 8,0 12,0 10,5 0,0 12,0 12,5 8,0 0,0 a) Determine the horizontal range (R) of the disk. Complete the missing values in the table. b) How long does it take for the disk to reach this range? c) What is the maximum height of the disk? d) Find the firing initial speed Vof the disk. Find the velocity vector of the disk at t = 0.8 s. e) Find…arrow_forwardA bead of mass m slides without friction along a curved wire with shape z = f(r) where r = Vx2 + y?, i.e. the distance from the z-axis. The wire is rotated around the z-axis at a constant angular velocity w. Gravity acts downward along the z-axis with a constant acceleration g. a) Using Newton's second law in an inertial frame, derive an expression for radius ro of a fixed circular orbit (i.e. a solution with r = ro = const.). What is the normal force the wire applies to the bead to keep it in a circular orbit? b) Show that the equation of motion for r(t) (general equation not the circular motion) is F(1+ f'(r)²) + r² f' (r)f" (r) + gf'(r) - w²r = 0. Using this verify your answer to part (a). c) Consider small displacements from the circular orbit, r = ro+e(t). Derive a condition on the function f(r) such that a circular orbit at r = ro is stable. d) Find the force on the bead in the o direction, i.e. perpendicular to the plane of wire. The angular velocity is w = i.e. do not assume r…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
What Is Circular Motion? | Physics in Motion; Author: GPB Education;https://www.youtube.com/watch?v=1cL6pHmbQ2c;License: Standard YouTube License, CC-BY