Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 10, Problem 31P
To determine
The constant force.
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A 37.2-cm diameter disk rotates with a constant angular acceleration of 2.3 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at this time.
(a) Find the angular speed of the wheel at t = 2.30 s. rad/s(b) Find the linear velocity and tangential acceleration of P at t = 2.30 s.
linear velocity
m/s
tangential acceleration
m/s2
c) Find the position of P (in degrees, with respect to the positive x-axis) at t = 2.30s. °
A dentist causes the bit of a high-speed drill to accelerate from
an angular speed of 1.05 × 10ʻ rad/s to an angular speed of
3.14 X 10ʻ rad/s. In the process, the bit turns through 1.88 × 10ʻ rad.
Assuming a constant angular acceleration, how long would it take the bit
*26.
to reach its maximum speed of 7.85 × 10ʻ rad/s, starting from rest?
Fnet = ma, Ffric,k = MkN, Ffric,s,max = μs N₁ v=rw, ac
v2
= ²/² = rw², Fnet,c = mac
r
Chapter 10 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 10.1 - A rigid object rotates in a counterclockwise sense...Ch. 10.2 - Consider again the pairs of angular positions for...Ch. 10.3 - Ethan and Rebecca are riding on a merry-go-round....Ch. 10.4 - Prob. 10.4QQCh. 10.5 - You turn off your electric drill and find that the...Ch. 10.7 - A section of hollow pipe and a solid cylinder have...Ch. 10.9 - A ball rolls without slipping down incline A,...Ch. 10 - Prob. 1OQCh. 10 - Consider an object on a rotating disk a distance r...Ch. 10 - Prob. 3OQ
Ch. 10 - Prob. 4OQCh. 10 - Suppose a cars standard tires are replaced with...Ch. 10 - Figure OQ10.6 shows a system of four particles...Ch. 10 - Prob. 7OQCh. 10 - Prob. 8OQCh. 10 - Prob. 9OQCh. 10 - Prob. 10OQCh. 10 - A solid aluminum sphere of radius R has moment of...Ch. 10 - Prob. 1CQCh. 10 - Prob. 2CQCh. 10 - Prob. 3CQCh. 10 - Prob. 4CQCh. 10 - Prob. 5CQCh. 10 - Prob. 6CQCh. 10 - Prob. 7CQCh. 10 - Prob. 8CQCh. 10 - (a) What is the angular speed of the second hand...Ch. 10 - Prob. 10CQCh. 10 - Prob. 11CQCh. 10 - Prob. 12CQCh. 10 - Three objects of uniform densitya solid sphere, a...Ch. 10 - Which of the entries in Table 10.2 applies to...Ch. 10 - Prob. 15CQCh. 10 - Prob. 16CQCh. 10 - (a) Find the angular speed of the Earths rotation...Ch. 10 - Prob. 2PCh. 10 - Prob. 3PCh. 10 - A bar on a hinge starts from rest and rotates with...Ch. 10 - A wheel starts from rest and rotates with constant...Ch. 10 - Prob. 6PCh. 10 - Prob. 7PCh. 10 - A machine part rotates at an angular speed of...Ch. 10 - A dentists drill starts from rest. After 3.20 s of...Ch. 10 - Why is the following situation impossible?...Ch. 10 - Prob. 11PCh. 10 - The tub of a washer goes into its spin cycle,...Ch. 10 - Prob. 13PCh. 10 - Review. Consider a tall building located on the...Ch. 10 - Prob. 15PCh. 10 - Prob. 16PCh. 10 - A discus thrower (Fig. P10.9) accelerates a discus...Ch. 10 - Figure P10.18 shows the drive train of a bicycle...Ch. 10 - A wheel 2.00 m in diameter lies in a vertical...Ch. 10 - A car accelerates uniformly from rest and reaches...Ch. 10 - Prob. 21PCh. 10 - Prob. 22PCh. 10 - Prob. 23PCh. 10 - Prob. 24PCh. 10 - Prob. 25PCh. 10 - Review. A small object with mass 4.00 kg moves...Ch. 10 - Find the net torque on the wheel in Figure P10.14...Ch. 10 - Prob. 28PCh. 10 - An electric motor turns a flywheel through a drive...Ch. 10 - A grinding wheel is in the form of a uniform solid...Ch. 10 - Prob. 31PCh. 10 - Review. A block of mass m1 = 2.00 kg and a block...Ch. 10 - Prob. 33PCh. 10 - Prob. 34PCh. 10 - Prob. 35PCh. 10 - Prob. 36PCh. 10 - A potters wheela thick stone disk of radius 0.500...Ch. 10 - Imagine that you stand tall and turn about a...Ch. 10 - Prob. 39PCh. 10 - Two balls with masses M and m are connected by a...Ch. 10 - Prob. 41PCh. 10 - Following the procedure used in Example 10.7,...Ch. 10 - Three identical thin rods, each of length L and...Ch. 10 - Rigid rods of negligible mass lying along the y...Ch. 10 - Prob. 45PCh. 10 - Prob. 46PCh. 10 - A war-wolf or trebuchet is a device used during...Ch. 10 - Prob. 48PCh. 10 - Big Ben, the nickname for the clock in Elizabeth...Ch. 10 - Consider two objects with m1 m2 connected by a...Ch. 10 - The top in Figure P10.51 has a moment of inertia...Ch. 10 - Prob. 52PCh. 10 - Prob. 53PCh. 10 - Prob. 54PCh. 10 - Review. An object with a mass of m = 5.10 kg is...Ch. 10 - This problem describes one experimental method for...Ch. 10 - A uniform solid disk of radius R and mass M is...Ch. 10 - Prob. 58PCh. 10 - Prob. 59PCh. 10 - Prob. 60PCh. 10 - (a) Determine the acceleration of the center of...Ch. 10 - A smooth cube of mass m and edge length r slides...Ch. 10 - Prob. 63PCh. 10 - A tennis ball is a hollow sphere with a thin wall....Ch. 10 - Prob. 65PCh. 10 - Prob. 66APCh. 10 - Prob. 67APCh. 10 - Prob. 68APCh. 10 - Prob. 69APCh. 10 - Prob. 70APCh. 10 - Review. A mixing beater consists of three thin...Ch. 10 - Prob. 72APCh. 10 - Prob. 73APCh. 10 - Prob. 74APCh. 10 - Prob. 75APCh. 10 - Prob. 76APCh. 10 - Review. As shown in Figure P10.77, two blocks are...Ch. 10 - Review. A string is wound around a uniform disk of...Ch. 10 - Prob. 79APCh. 10 - Prob. 80APCh. 10 - Prob. 81APCh. 10 - Review. A spool of wire of mass M and radius R is...Ch. 10 - A solid sphere of mass m and radius r rolls...Ch. 10 - Prob. 84APCh. 10 - Prob. 85APCh. 10 - Review. A clown balances a small spherical grape...Ch. 10 - A plank with a mass M = 6.00 kg rests on top of...Ch. 10 - Prob. 88CPCh. 10 - Prob. 89CPCh. 10 - Prob. 90CPCh. 10 - A spool of thread consists of a cylinder of radius...Ch. 10 - A cord is wrapped around a pulley that is shaped...Ch. 10 - Prob. 93CPCh. 10 - A uniform, hollow, cylindrical spool has inside...
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- In testing an automobile tire for proper alignment, a technicianmarks a spot on the tire 0.200 m from the center. He then mountsthe tire in a vertical plane and notes that the radius vector to thespot is at an angle of 35.0 with the horizontal. Starting from rest,the tire is spun rapidly with a constant angular acceleration of 3.00 rad/s2. a. What is the angular speed of the wheel after 4.00 s? b. What is the tangential speed of the spot after 4.00 s? c. What is the magnitude of the total accleration of the spot after 4.00 s?" d. What is the angular position of the spot after 4.00 s?arrow_forwardWhy is the following situation impossible? A space station shaped like a giant wheel has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g (Fig. P10.52). A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a test to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening.arrow_forwardA space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (Sec Fig. P11.29.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring, (a) What angular momentum does the space station acquirer (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N?arrow_forward
- A space station is constructed in the shape of a hollow ring of mass 5.00 104 kg. Members of the crew walk on a deck formed by the inner surface of the outer cylindrical wall of the ring, with radius r = 100 m. At rest when constructed, the ring is set rotating about its axis so that the people inside experience an effective free-fall acceleration equal to g. (See Fig. P10.52.) The rotation is achieved by firing two small rockets attached tangentially to opposite points on the rim of the ring. (a) What angular momentum does the space station acquire? (b) For what time interval must the rockets be fired if each exerts a thrust of 125 N? Figure P10.52 Problems 52 and 54.arrow_forwardA point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of 0.700 m/s in 1.75 s. At t = 1.25 s, find the magnitude and direction of (a) the radial acceleration, (b) the tangential acceleration, and (c) the total acceleration of the point.arrow_forwardA wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.00 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3 with the horizontal at this time. At t = 2.00 s, find (a) the angular speed of the wheel and, for point P, (b) the tangential speed, (c) the total acceleration, and (d) the angular position.arrow_forward
- Why is the following situation impossible? Starting from rest, a disk rotates around a fixed axis through an angle of 50.0 rad in a time interval of 10.0 s. The angular acceleration of the disk is constant during the entire motion, and its final angular speed is 8.00 rad/s.arrow_forwardThe propeller of an aircraft accelerates from rest with an angular acceleration = 4t + 6, where is in rad/s2 and t isin seconds. What is the angle in radians through which thepropeller rotates from t = 1.00 s to t = 6.00 s?arrow_forwardThe tub of a washer goes into its spin cycle, starting from rest and gaining angular speed steadily for 8.00 s, at which time it is turning at 5.00 rev/s. At this point, the person doing the laundry opens the lid, and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn while it is in motion?arrow_forward
- A turntable (disk) of radius r = 26.0 cm and rotational inertia0.400 kg m2 rotates with an angular speed of 3.00 rad/s arounda frictionless, vertical axle. A wad of clay of mass m =0.250 kg drops onto and sticks to the edge of the turntable.What is the new angular speed of the turntable?arrow_forwardLara is running just outside the circumference of a carousel, looking for her favorite horse to ride, with a constant angular speed of 1.00 rad/s. Just as she spots the horse, one-fourth of the circumference ahead of her, the carousel begins to move, accelerating from rest at 0.050 rad/s2. a. Taking the time when the carousel begins to move as t = 0, when will Lara catch up to the horse? b. Lara mistakenly passes the horse and keeps running at constant angular speed. If the carousel continues to accelerate at the same rate, when will the horse draw even with Lara again?arrow_forwardWhy is the following situation impossible? A space station shaped like a giant wheel (Fig. P11.28, page 306) has a radius of r = 100 m and a moment of inertia of 5.00 108 kg m2. A crew of 150 people of average mass 65.0 kg is living on the rim, and the stations rotation causes the crew to experience an apparent free-fall acceleration of g. A research technician is assigned to perform an experiment in which a ball is dropped at the rim of the station every 15 minutes and the time interval for the ball to drop a given distance is measured as a lest to make sure the apparent value of g is correctly maintained. One evening, 100 average people move to the center of the station for a union meeting. The research technician, who has already been performing his experiment for an hour before the meeting, is disappointed that he cannot attend the meeting, and his mood sours even further by his boring experiment in which every time interval for the dropped ball is identical for the entire evening. Figure P11.28arrow_forward
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