A disk of radius r= 51.9 cm and rotational inertia, about the disk axis on which it is fixed, is 3 kg m². A rope goes around the surface of the disk and is pulled with a force of F = 12 N. What is the angular acceleration of the disk? O a. -207.6 O b. 207.6 O c. 2.1 O d. -0.1

A disk of radius r= 51.9 cm and rotational inertia, about the disk axis on which it is fixed, is 3 kg m². A rope goes around the surface of the disk and is pulled with a force of F = 12 N. What is the angular acceleration of the disk? O a. -207.6 O b. 207.6 O c. 2.1 O d. -0.1

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A centrifuge spins from rest with an angular acceleration of 226 rad/s?. What is the angular speed…

A: Initial Angular speed = 0 rad /s (spins from rest) Angular acceleration = 226 rad /s2 Time t = 2 s

Q: Force F = -4.8 Ni+ 2.8 Nj acts on a small rock with a position vector r = 6.8 m i+ 2.2 mj relative…

A: Given:F→=-4.8i→+2.8j→r→=6.8i→+2.2j→To find:Torque T=??

Q: 6. A ball on a string has a moment of inertia of 12.5 kg · m2. It experiences a torque of 5 m N. a.…

Q: A car traveling at a constant speed as it rounds a curve is not experiencing angular acceleration.…

A: Introduction:Angular acceelration is defined as the rate of change ofangular velocity.α = dωdtalso…

Q: When turned on, a fan requires 6.00 seconds to get up to its final rotational speed of 900 rpm. What…

A: Write the expression for angular acceleration

Q: A tire is rotating with angular speed of 350 rev/min. Its angular speed in radians per second is: (1…

Q: Solve for the angular speed of a car while taking a circular turn of radius 100 m at 36km/hour. a.…

Q: Kg. m^2 (kilogram. meter square) is the unit of a. moment of inertia O b. rotational kinetic energy…

Q: A disk of radius r = 87.5 cm and rotational inertia, about the disk axis on which it is fixed, is…

A: Write a given values of this question. r=87.5cm=0.875mI=3.1kgm2F=24.9N

Q: What is the magnitude of torque that would need to be applied to stop the motion of a 10-kg ball…

A: Calculate the change in angular momentum. ΔL= I(ωi - ωf) = (10*102)(5 - 0) = 5000 kgm2s-1

Q: A diver curls up on diving to do flips, then straightens as she enters the water. Which of these is…

A: The product of the body's angular velocity and its moment of inertia is the angular momentum of the…

Q: A skater is initially spinning at a rate of 25.0 rad/s with a rotational inertia of 3.00 kg-m2 when…

A: Given that:- The initial angular velocity of the skater is given as ωi=25 rad/s The initial moment…

Q: 35. What is the moment of inertia of a 1-kg solid sphere with a radius of 3 meters? a. 1.6 kg-m2 b.…

A: Mass of solid sphere M = 1 kg Radius of sphere R = 3m Moment of inertia of solid sphere is I =…

Q: A wheel of diameter 13 cm has a 5 m cord wrapped around its periphery. Starting from rest, the wheel…

Q: A wheel has its speed increased from 120 to 240 r/min in 20 s. a. What is the angular acceleration?…

A: Given that,The initial angular speed of wheel : 120 (rpm)The final angular speed of wheel : 240…

Q: Calculate the angular momentum of a 75kg person who sits 4m from the center of a rotating merry go…

A: To determine: The angular momentum of the person playing merry go round Given: Mass of person,…

Q: How much torque would it take to make the wheel speed up from rest to 1.5 rev/sec in 10 sec? b. Now…

A: The moment of inertia of a rigid body is the sum of the products of the masses of all the particles…

Q: The two solid cylinders below are made up of aluminum. What is the ratio of the rotational inertia…

A: Rotational inertia or moment of inertia of a solid cylinder depends on the mass and radius of the…

Q: A 1.6-kg ball of radius 25 cm rolls across level ground at 4.0 m/s without slipping. What is its…

A: mass = 1.6 kg Radius = 25 cm = 0.25 m Speed = 4 m/s Using relation between linear and angular speed…

Q: Suppose a yo-yo has a center shaft that has a 0.258 cm radius and that its string is being pulled.…

A: The radius of shaft is 0.258cm

Q: 2. A 2 kg uniform stick has length of 0.3 [meters] and is turning around a central axis at 6.28…

Q: 5t - 21, with a in rad/s2 and t in seconds. At time t = 0, the wheel has an angular velocity of -3.0…

Q: A particle is moving in a circle of radius 0.40 m. At an instance when the angular speed is 2.0…

A: Given: The radius of the circular path is 0.4 m. The angular speed is 2 rad/s. The angular…

Q: 8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside…

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

Q: 1. The tub of a washing machine starts from rest and requires 8 seconds to acquire an angular speed…

Q: Consider an object on a rotating disk a distance ? from its center, held in place on the disk by…

A: EXPLANATION a) true , since we know( v=ωr) where ,v= tangential speed which depened…

Q: A wheel with a radius of 30 cm starts from the rest. If the angular acceleration is 2 rad/s2. What…

Q: A fan is turned off, and its angular speed decreases from 10.0 rad/s to 6.3 rad/s in 5.0 s. What is…

A: Given data: Initial angular velocity (ωi) = 10.0 rad/s Final angular velocity (ωf) = 6.3 rad/s Time…

Q: You drop a disk (Icm = 1/2MR2) from rest. The disk rotates as it unwinds from a fixed vertical…

Q: The rotational speed of the Earth around the Sun in radians/day is O a. 0.0172 rad/s O b. 0.0086…

A: The Earth takes 365 days around the Sun in a revolution.

Q: ball with a radius of 0.10 m is given an angular acceleration of 18 rad/s2 for 2 seconds. Assuming…

A: Given Initial angular velocity = 0angular acceleration= 18 rad /s2 Time taken t = 2 sec

Q: The student pulls on the string until it is completely unwound, and the string does not slip on the…

A: Mass of the disc Radius of the disc Tangential force applied Since the disc is wounded 5 times…

Q: A bicycle wheel has a diameter of 700mm and a mass of 3.0 kg. Most of the mass of the wheel is in…

A: Diameter of wheel r =700 mm =700 mm×1 m1000 m=0.7 m. Mass m =3 kg. The initial speed of the wheel v1…

Q: A spinning disk with a mass of 12 kg and a radius of 2 m has an angular velocity of 3 rad/s. What is…

A: Solution: Rotational kinetic energy of a disc K.∈=12I ω2…

Q: Force F = -4.4 Ni+ 6.4 N j acts on a small rock with a position vector r = 3.1 m i+ 8.5 m j relative…

Q: What is the average angular acceleration of an object accelerated from rest to 333.333 revolutions…

A: The rate of change of angular velocity is known as angular acceleration.

Q: The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2…

A: θ = 2+3t-2t2

Q: The rod shown in the figure rotates with counterclockwise angular velocity of 5 rad/s and a…

A: Given: Angular acceleration, α=5 rad/s2 Angular velocity, ω=5 rad/s

Q: 5. A car m = 1230. kg has wheels with a radius R = 0.230 m. The car starts at rest and the wheels…

Q: A CD originally spinning at 34.0 rad/s (325 rpm) slows down uniformly until it comes to a full stop…

Q: An electric motor is rotating with angular speed of 300 rad/s. Its angular speed in rev/min is: (1…

Q: 49. The moment of inertia of a uniform disc of mass m and radius a about an axis through its centre…

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

Time left 0:13:43
A disk of radius r= 51.9 cm and rotational inertia, about the disk axis on which it is fixed, is 3 kg.m2. A rope goes around
the surface of the disk and is pulled with a force of F = 12 N. What is the angular acceleration of the disk?
O a. -207.6
O b. 207.6
O c. 2.1
O d. -0.1
US PAGE
NEXT PAGE
FUJITSU

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 disc is rotating at constant angular acceleration of 2 rad/s^2. At t=0, the angular velocity = -5 rad/s. When does the disc momentarily go to rest? * a. 5 s b. 6 s c. 2 s d. 1 s e. 2.5 s f. 1.5 s g. 0.5 s h. 0.33 s i. 0.4 s Given m1 = 2 kg, x1 = 11 m, m2 = 4 kg, x2 = -1 m. Find the center of mass of this system of two particles * a. 36 m b. 2 m c. 7 m d. 6 m e. 3 m Particle 1 of mass 3 kg moves to the right at speed 5 m/s towards Particle 2 of mass 3 kg which is moving to the left at 1 m/s. After the collision Particle 1 moves to the right with speed 1 m/s. What is the speed of Particle 2 after the collision? * a. 5 m/s b. 2 m/s c. 1 m/s d. 4 m/s e. 3 m/s
1) Choose the three "bridge" equations between translational quantities and rotational quantities from the list below. A. Δx = RΔθ B. vt = Rat C. at = Rα D. at = R/α E. ω = Rθ F. vt = Rω 2) Match the following angular velocity A.I, kg·m2 angular displacement B.Δθ angular acceleration C.½Iω2 moment of inertia D.α tangential velocity E.ΣΤ = Iα tangential acceleration F.Iω = mvR centripetal acceleration G.Rω arc length H.w rotational kinetic energy I.RΔθ angular momentum J.Rω2 Newton's 2nd Law of Rotation K.Rα 3) For a body to be in static equilibrium, what two equations must be solved together? A. mechanical energy = 0 and net force = 0 B. net torque = 0 and net work = 0 C. net force = 0 and net torque = 0 D. net work = 0 and net force = 0 4)From Newton's Law of Gravitation, the quantity…
36. A wheel rotates with a constant angular acceleration of 3.5 rad/s^2. If the angular velocity of the wheel is 2 rad/s at t0 = 0. What is the angular velocity of the wheel in at t = 2 s? a. 3 rad/s b. 9 rad/s c. 6 rad/s d. 2 rad/s Explanation and solution
SP1. A merry-go-round in the park has a radius of 1.8 m and a rotational inertia of 900 kg-m². A child pushes the merry- go-round with a constant force of 80 N applied at the edge and parallel to the edge. A frictional torque of 12 N-m acts at the axle of the merry-go-round. a. What is the net torque acting on the merry-go-round about its axle? b. What is the rotational acceleration of the merry-go- round? c. At this rate, what will the rotational velocity of the merry-go-round be after 15 s if it starts from rest? d. What is the rotational acceleration of the merry-go- round if the child stops pushing after 15 s? How long will it take for the merry-go-round to stop turning?
A loop has a rotational inertia of 0.14 kg.m when spinning about its central axis. It takes 1.5 s to reduce the angular momentum from 3.0 to 0.80 kg m-/s. Calculate the average torque about the central axis of the loop. O a. -1.7 N-m O b.1.47 N m Oc. 1.17 N -m O d.2.10 N-m O e. -1.47 N m
A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65 s. What was her average angular velocity in radians/second? A 720rad/s B 19.3rad/s C 4? rad/s D 9.67 rad/s E 1107 rad/s
1. The angular acceleration of the disk is defined by a = 3t² + 10 rad/s, where t is in seconds. If the disk is originally rotating at wo 12 rad/s, determine the magnitude of the velocity and the n and t components of acceleration of point A on the disk when t = 2 s. B 0.4 m @0 0.5 m-A 12 rad/s
Suppose the rotational kinetic energy of a solid disk is 1000 J when the disk has an angular velocity of 3 rad/s. What is the disk's moment of inertia? If the mass of the disk is 50 kg, what must be its radius? moment of inertia: A. 276.5 kg-m? B. 222.2 kg-m? D. 238.5 kg-m? E. 239.2 kg-m? С. 175.9 kg-m? F. 170.3 kg-m? /--/ radius: А. 2.490 m D. 2.536 m В. 2.981 m Е. 3.341 m С. 3.212 m F. 3.195 m
A record player rotates a record at 45 revolutions per minute. When the record player is switched off, it makes 4.0 complete turns at a constant angular acceleration before coming to rest. What was the magnitude of the angular acceleration (in rads/s²) of the record as it slowed down? A. 0.44 rad/s² B. 0.88 rad/s² C. 1.5 rad/s² D. 2.8 rad/s² D B O A O C
22 g = 10 m/s^2
Started from rest, the two wheels of a mountain bike have both an angular acceleration of 4.0 rad/s². What is its angular speed at the instant when one has made 10 revolutions? A. 16 rad/s. B. 22 rad/s. C. 32 rad/s. D. 250 rad/s. E. 500 rad/s
8. If an object is rotating at an acceleration of 6.2 rad/s?, solve the following: a. What is the angular position at 32.5 s? b. If the object was initially moving at 2.3 rad/s, what is the final angular velocity?