A drum rotates around its central axis at an angular velocity of 17.0 rad/s. If the drum then slows at a constant rate of 9.48 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 17.0 rad/s. If the drum then slows at a constant rate of 9.48 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 11P: A disk 8.00 cm in radius rotates at a constant rate of 1200 rev/min about its central axis....

See similar textbooks

Related questions

Q: The LC circuit of a radar transmitter oscillates at 42.4 GHz. (a) What inductance is required for th...

Q: If the electric field is along the direction of the normal unit vector of the surface. O The flux is...

A: Introduction: The electric flux is the property of the electric field that may be the number of elec...

Q: A uniform charge density of 500 nC/m is distributed throughout a spherical volume (radius = 16 cm) C...

A: Given that Charge density ρ = 500nC/m3 = 500×10-9C/m3 edge of the ...

Q: Two observers are standing in front of a source of spherical sound waves, O2 is positioned 67m behin...

Q: Two identical point charges qg and qA are separated by a distance r. Where must be the location of a...

Q: Which projectile has the greatest flight time?

A: The time of flight of a projectile is given by tf = 2usinθg, where u = the initial velocity g = acce...

Q: .Car A travels East at a speed of 120 kmh while car B travels West at a speed of 80 kmh. Find ...

A: "Since you have asked multiple questions, as per instructions to us, we will solve the first questio...

Q: A 3.8 kg block is attached to a vertical spring with spring constant 18 N/m. At one instant, the blo...

Q: choose the right answer and show your solution 1. CALCULATE THE ENERGY STORED IN A CAPACITOR IF THE ...

Q: Calculate the electric flux in each surface: -10.0 uC +3.0 µC +1.0 C +7.0 µC -8.0 pC

Q: The basketball player likes to release his foul shots with an initial speed vo = 25.1 ft/sec. What 2...

Q: If the number of protons and the number of electrons of a material are equal, then the material is s...

A: Answer: The material is said to be Electrically Neutral .

Q: An electron enters a region of space containing a uniform 1.67×10−5 T magnetic field. Its speed is 1...

Q: A doubly ionized molecule (i.e., a molecule lacking two electrons) moving in a magnetic field experi...

A: Given value--- magnetic force = 6.29×10−16 N. speed = 241 m/s. angle = 75.5 degree. We have to fin...

Q: light hangs series of strings as shown figure below. ension on string a, Ta, is 0.48 N. 42° b J а d ...

Q: A rod of mass M and length L can rotate about a hinge at its left end and is initially at rest. A pu...

Q: A 2388-kg farm tractor tows a 3100-kg trailer up a 16° incline with a constant acceleration of 1.5 m...

Q: Consider an electromagnetic wave in which the electric field is E =EOj°cos(kx-wt) E→=E0j^cos(kx-wt),...

Q: An object is launched off the top of a building A with an initial velocity of 150 m/s. Determine the...

A: Break the 2-D motion in to two 1-D motions and apply equation of motion separately along both the di...

Q: A 36.0-mH inductor is connected to a North American electrical outlet (AVms 120 V, f = 60.0 Hz). Ass...

A: Given value--- L = 36 mH. Vrms = 120 V. frequency = 120 Hz. time t = 1/170 sec. We have to find--...

Q: The board rests on the surface of two drums. At the instant shown, it has an acceleration of 0.48 m/...

Q: The system in the figure below is in equilibrium. A 45.0-kg beam that is hinged on the floor is also...

Q: Where t = 2 sec 1.) X =4/t hint use 1/t=t^-1 Find the displacement, velocity and acceleration.

Q: Mathematically, the electric field measured at a point is defined as: the force experienced by a tes...

A: Electric field can be considered as an electric property associated with each point in the space whe...

Q: The resistance of an electric bulb drawing 1.2 A current at 12.0 V is 0.10 W 10 W 14.4 W O 5 W

A: Given data: Current (I) = 1.2 A Voltage (V) = 12.0 V Required: Resistance (R)

Q: The system in the figure is in equilibrium. A concrete block of mass 315 kg hangs from the end of th...

Q: A motorboat is racing towards north at 25km/h and the water current in that region is 10km/h in the ...

Q: are coil of resistance 4 0, 50 turns and side length 5 c with - uniferm ma gnotic fiold o f 2T the c...

Q: 2. A 50-kg box is being pushed along a horizontal surface. The coefficient of static friction betwee...

Q: Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C,...

A: Given that:- Side AB of triangle ABC =86m

Q: Object of dropped from the height of 40 m . Find the velocity of the object just before it hit the g...

A: Given Object dropped from height of 40 m H = 40 m Velocity of object before it hit the ground. V...

Q: The Bohr’s hydrogen model is based on the following postulate: mvr = nh¯, where n is a positive inte...

Q: tion 2 of 9 Two blocks with masses M and M2 are connected by a massless string that passes over a ma...

Q: Three charges are at the corners of an equilateral triangle, as shown in Figure a) Calculate the ele...

Q: Mirror Lens Object D The object in Figure above is midway between the lens and the mirror, which are...

Q: if a horse weighs 148.5 lbs on the moon, how many pounds is its earth weight.

Q: An energy source forces a constant current of 2 A for 10 s to flow through a light bulb. If 2.3 kJ i...

Q: In a rectilinear motion, a particle travels with a uniform speed of 100 kmh. What is the particle no...

A: A rectilinear motion is a motion which is constrained to 1 dimension. All the displacement, velocity...

Q: An ice skater is spinning at 6.4 rev/s and has a moment of inertia of 0.56 kg ⋅ m2. Part (a) Calcu...

Q: The intensity i of light from a bulb is inversely proportional to the square of the distances from t...

A: Since you have asked multiple questions we will solve first question for you.please post remaining q...

Q: Part A Light of 570 nm wavelength illuminates two slits that are 0.25 mm apart. (Figure 1) shows the...

A: According to guidelines we need to solve only first question kindly repost other questions in the ne...

Q: In the circuit, the capacitor is fully charged when switch ?S is closed. Calculate the time needed f...

Q: An AC source with AV, max = 165 V and f = 60.0 Hz is connected between points a and d in the figure....

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: 5 A block with a mass, mi = 2.5kg, sits a distance d = 85cm from the top of a frictionless ramp at a...

A: Given Compression in spring x = 15 cm =0.15 m Spring constant k =1600 N/m Mass m1 =2.5 kg

Q: A baseball, which is struck by a bat, is launched with an initial speed of 40.7 m/s at an unknown an...

Q: The intensity on the screen at a certain point in a double-slit interference pattern is 65 % of the ...

A: Given The intensity at a certain point is 65% of the maximum value. If the maximum intensity is I0 a...

Q: A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is goin...

A: We know that the formula of the velocity in terms of distance and time is given as velcoity = dist...

Q: Name two different types of "Equalization Filters". 1. 2.

A: Equalization is one of the most fundamental processes in music production. Every music producer shou...

Q: The potential difference required to pass a current 0.5 A in a wire of resistance 20W is 10V 0.01V O...

Q: Car A travels East at a speed of 120 kmh while car B travels West at a speed of 80 kmh. Find the vel...

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

A drum rotates around its central axis at an angular velocity of 17.0 rad/s. If the drum then slows at a constant rate of 9.48 rad/s?, (a)
how much time does it take and (b) through what angle does it rotate in coming to rest?
(a) Number
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 with 2 images

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 wheel starts from rest and in 12.65 s is rotating with an angular speed of 5.435 rad/s. a. Find the magnitude of theconstant angular acceleration of the wheel. b. Through whatangle does the wheel move in 6.325 s?
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?
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?
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.
Rigid rods of negligible mass lying along the y axis connect three particles (Fig. P10.18). The system rotates about the x axis with an angular speed of 2.00 rad/s. Find (a) the moment of inertia about the x axis, (b) the total rotational kinetic energy evaluated from 12I2, (c) the tangential speed of each particle, and (d) the total kinetic energy evaluated from 12mivi2. (e) Compare the answers for kinetic energy in parts (b) and (d). Figure P10.18
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?
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 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?
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.
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.