A drum rotates around its central axis at an angular velocity of 11.3 rad/s. If the drum then slows at a constant rate of 7.97 rad/s?, (a) how much time does it take and (b) through what angle does it rotate in coming to rest?

A drum rotates around its central axis at an angular velocity of 11.3 rad/s. If the drum then slows at a constant rate of 7.97 rad/s?, (a) how much time does it take and (b) through what angle does it rotate in coming to rest?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 10P: A wheel 2.00 m in diameter lies in a vertical plane and rotates about its central axis with a...

See similar textbooks

Related questions

Q: Does the initial velocity of an object in free fall have anything to do with the acceleration due to...

Q: 13. If a rocket is given enough speed to escape from Earth, could it also escape from the Sun, and h...

A: To answer this question first we need to understand the meaning of escape velocity. Escape velocity ...

Q: a.Calculate the weight of a 75.6 kg astronaut on the surface of Mars at the equator.

A: Dear student, Since both questions are different as per guidelines we can author only first one ple...

Q: e In general, solid materials become electrically charged because of the tra what kind of particle?

Q: 4. Consider a pirate boat in a pond with the anchor on the boat. When the pirates throw the anchor o...

A: We have a boat on which there is an anchor having mass say m, density ρ and volume V. This anchor is...

Q: child of mass M holds onto a rope and steps off a platform. Assume that the initial speed of the chi...

Q: A drum rotates around its central axis at an angular velocity of 11.3 rad/s. If the drum then slows ...

A: Write the given data. ω0=11.3 rad/sα=-7.97 rad/s2

Q: (5 blanks) What is the maximum possible efficiency (in Percent) of a steam engine working between a ...

A: Given: The temperature of the hot reservoir is 100 oC = 373.15 K. The temperature...

Q: Proove the follow commutators: (a) [L,x] = ihy (b) [L„,Þy] = -ihpx %3D

A: We know that the operator representing x component of the angular momentum is given by Lz=xpy-ypx an...

Q: 8. Solve the following differential equations: - 4y = 0 У (0) %3D 2 (at x = 0) = 4 a. dx2 d?y b. 52 ...

Q: A parallel-plate capacitor has a capacitance C. What is the new capacitance if a dielectric with K =...

Q: A-string on a guitar is tuned to create a fundamental frequency of 110 Hz when under a tension of 20...

Q: When measured the moment of force, it need tunneling point *

A: False

Q: A 45-caliber bullet shot straight up from the surface of the earth would reach a height of s(t) = 83...

A: According to guidelines we need to solve only first three sub-part kindly repost other parts in the ...

Q: 15. A nuclide (Z,A may transform into a nuclide (Z-1,A) by the emission of a. an alpha b. aB- a B+ d...

A: GivenA nuclide (Z,A) ma transform into a nuclide (Z-1,A)

Q: A 0.7-F capacitor is connected in series with a 9-ohm resistor. If the connection is energized from ...

A: Capacitance of capacitor C = 0.7 F Resistance R=9 Ω Voltage V = 11 V Initial charge Q0=175 mC = 0.17...

Q: A spool of iron wire 320 m long and with a diameter of 0.360 mm is at 20.0°C. For iron, the resistiv...

A: Given value--- length =320 m. diameter = 0.36 mm. resistivity = 10 × 10-8 ohm m. temperature coeffi...

Q: Considering magnetic forces, how are forces at distance explained?

Q: PROBLEM SOLVING give the ff: - given - formula - solution A hollow conducting sphere of radius 0.12 ...

A: Given Electric filed ,E= -10N/C Distance r= 0.20 m As 0.20> 0.12 ,point is outside the sphere

Q: What are Newton’s three laws of motion? With each response, provide a common example/application of ...

A: Newtons first law of motion : Newton’s first law states that if a body is at rest or moving at a con...

Q: 30.0 cm Consider two identical, uniform, 30-cm-long wooden boards, stacked on top of each other, and...

Q: Problem # 4 A 2.00-kg block is pushed against a spring with negligible mass and force constant compr...

A: Given, Mass=2.00kg Length=0.20m Angle=37

Q: Suppose an object is held 7.5 cm from a diverging (concave) lens of focal length -14.0 cm. What is t...

A: Given that:- Focal length of diverging lens=f=-14cm

Q: 19. In the network shown in Fig. 2(a).41(a), the ring has zero resistance. Find the resistance betwe...

Q: Prove that the ratio of the frequency values of the fundamental, first, second, and third overtone...

Q: A nitrogen gas with a volume of 11.75 L was placed inside a chamber with a pressure of 2022 psi at a...

A: Ideal gas equation PV = nRT Here R is constant PV/T = nR = constant B...

Q: Q10: Using a nuclear counter the count rate of emitted particles from a radioactive source is measur...

Q: An object moves from position (3,4) to (6,5) E xy plane. Find the magnitude and direction of displac...

A: Displacement is defined as the change in position of an object. Here, we calculate the given as foll...

Q: A 5.0 kg block initially on a flat, level and smooth surface, is pulled by a constant force of 6.0 N...

Q: The five forces shown in figure 3 acts at point 0. What is the magnitude of the resultant ford a. 11...

A: According to question we need to find magnitude of resultant force.

Q: A beam of particles is directed at a 0.012-kg tumor. There are 2.1 x 1010 particles per second reach...

A: Given value--- mass = 0.012 kg. no. of particle per second = 2.1 × 10q0 . energy = 4.5 NeV RBE = 1...

Q: Given this equation a= 4-6t. a. Find the velocity equation at v=2m/s and t=1s b. Find displacement e...

Q: Calculate the mass of a car that drives at 21m/s and has 20000 J of energy ?

A: Given value--- speed = 21 m/s. energy = 20000 J. We have to find--- mass ?

Q: A golfer gives a ball a maximum initial speed of 51.5 m/s What is the highest tree the ball could cl...

Q: (4 blanks) An ice-making machine operates in a Carnot cycle. It takes heat from water at 0.0 °C and ...

A: Since the machine is operating in a Carnot cycle then its efficiency is written as under,

Q: The angular elevation of a tower CD at a place A due south of it is 60°; and at a place B due west o...

Q: Calculate a force that is applied to a 658.3 kg object so that it has an acceleration of 689 m/s?.

A: According to Newton Second lawF=m×aHereF=Force on objectm=mass of objecta=acceleration of object

Q: A 39.4-Ω resistor and a 19.5- resistor are connected in series across a 12.7-V battery. What is the ...

Q: In the figure, block 1 of mass m, slides from rest along a frictionless ramp from height h = 2.6 m a...

Q: A 0.140-kg baseball traveling 40.0 m/s strikes the catcher's mitt, which, in bringing the ball to re...

Q: 1. Three point charges are located on the positive y-axis of a coordinate system as shown in the fig...

Q: A body falls from rest in the gravitational field of the earth. The distance travelled in the fifth ...

A: Given that A body falls from rest in the gravitational field of the earth. ...

Q: An airplane takes 5 hours to travel a distance of 4800 miles with the wind. The return trip takes ...

A: Write the expression of speeds when airplane travels with the wind. vp+va=48005vp+va=960 miles/h ...

Q: A tsunami can have a wavelength in water of 100 km and travel at up to speeds of 800 km/hr. So, why ...

A: Tsunamis — once slangily called tidal waves — are extremely powerful waves caused by large undersea ...

Q: 3. Arock is dropped from a rest position at the top of a cliff and free falls to the valley below. A...

A: We have an object of mass say m which is dropped from the top of a clip so it undergoes free fall mo...

Q: Data and Result Part I. Keeping the total mass constant Experimental Value of g Trial M1 M2 Time A_e...

A: Given: a_exp F 0.71 196 1.37 392 1.98 588 2.76 784 3.43 980

Q: In the figure here, a ball is thrown up onto a roof, landing 4.80 s later at height h = 21.0 m above...

A: To find the solution, first reverse the motion of the ball and assume that the ball is projected wit...

Q: Problem 3: An infinitely long single wire with current I = 6.5 A and a rectangular wire loop with cu...

Q: A gardener uses a wheelbarrow to carry a bag of mulch (decaying leaves, bark and compost) that weigh...

A: (a) Write the given data. W=150 lbsE=60 lbsLwheel to E=8 ft

Q: Suppose an object is held 9.5 cm from a diverging (concave) lens of focal length -22.0 cm. What is t...

Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

3 significant digits

A drum rotates around its central axis at an angular velocity of 11.3 rad/s. If the drum then slows at a constant rate of 7.97 rad/s?, (a)
how much time does it take and (b) through what angle does it rotate in coming to rest?
(a) Number
i
Units
(b) Number
i
Units
>

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Angular speed, acceleration and displacement

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

A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis. Determine (a) its angular speed in radians per second, (b) the tangential speed at a point 3.00 cm from its center, (c) the radial acceleration of a point on the rim, and (d) the total distance a point on the rim moves in 2.00 s.
A 12.0-kg solid sphere of radius 1.50 m is being rotated by applying a constant tangential force of 10.0 N at a perpendicular distance of 1.50 m from the rotation axis through the center of the sphere. If the sphere is initially at rest, how many revolutions must the sphere go through while this force is applied before it reaches an angular speed of 30.0 rad/s?
A solid cylinder of mass 2.0 kg and radius 20 cm is rotating counterclockwise around a vertical axis through its center at 600 rev/min. A second solid cylinder of the same mass and radius is rotating clockwise around the same vertical axis at 900 rev/min. If the cylinders couple so that they rotate about the same vertical axis, what is the angular velocity of the combination?
A 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.
A 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?
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.
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.
A thin rod of length 2.65 m and mass 13.7 kg is rotated at anangular speed of 3.89 rad/s around an axis perpendicular to therod and through one of its ends. Find the magnitude of the rodsangular momentum.
Figure P10.18 shows the drive train of a bicycle that has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a from sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter. Calculate (a) the speed of a link of the chain relative to the bicycle frame, (b) the angular speed of the bicycle wheels, and (c) the speed of the bicycle relative to the road, (d) What pieces of data, if any, are not necessary for the calculations?
Which of the entries in Table 10.2 applies to finding the moment of inertia (a) of a long, straight sewer pipe rotating about its axis of symmetry? (b) Of an embroidery hoop rotating about an axis through its center and perpendicular to its plane? (c) Of a uniform door turning on its hinges? (d) Of a coin turning about an axis through its center and perpendicular to its faces?
The 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?
A playground merry-go-round of radius R = 2.00 m has a moment of inertia I = 250 kg m2 and is rotating at 10.0 rev/min about a frictionless, vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?