A wheel has a constant angular acceleration of 6.0 rad/s?. Starting from rest, it turns through 290 rad. (a) What is its final angular velocity (in rad/s)? (Enter the magnitude.) rad/s (b) How much time elapses (in s) while it turns through the 290 radians?

A wheel has a constant angular acceleration of 6.0 rad/s?. Starting from rest, it turns through 290 rad. (a) What is its final angular velocity (in rad/s)? (Enter the magnitude.) rad/s (b) How much time elapses (in s) while it turns through the 290 radians?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 56P: Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120...

See similar textbooks

Related questions

Q: How long does it take for a rotating object to speed up from 15.2 to 30.78 rad/s if it has an…

Q: A wheel has a constant angular acceleration of 3.0 rad/s?. During a certain 4.0 s interval, it turns…

A: Given : Angular acceleration→α=3.0 rad/s2 Turn angle →θ=120 rad Turning time →t=4.0 s

Q: • A compact disk, which has a diameter of 12.0 cm, speeds upuniformly from 0.00 to 4.00 rev>s in…

A: The radius of the disk is,

Q: A solid cylinder rolls from rest down an inclined plane 1.2 m high without slipping. What is its…

Q: A bicycle wheel has an initial angular speed of 7.2 rad/s. After turning through one-half of a…

A: Given data: Initial angular speed (ωi ) = 7.2 rad/s Final angular speed (ωf ) = 2.2 rad/s Angular…

Q: When a fan is turned off, its angular speed decreases from 10 rad/s to 6.3 rad/s in 5.0 s. What is…

A: Giveninitial angular acceleration(ωi)=10 rad/sfinal angular acceleration(ωf)=6.3 rad/stime(t)=5.0…

Q: • The rotor in a centrifuge has an initial angular speed of 430 rad>s.After 8.2 s of constant…

Q: What constant angular acceleration is required to reduce an object's angular velocity from 37.5…

A: Given : wo = 37.5 rad/s w = 15.4 rad/s N = 11

Q: A wheel has an initial angular velocity of 0.8radians per second and an angular acceleration of 1.3…

A: The relation which is used to solve this question is…

Q: When a turntable rotating at 33 rev/min is shut off, it comes to rest in 26 s. Assuming constant…

A: Given Data Initial angular speed is ωi=33 rev/min=33 rev1 min×2π rad1 rev×1 min60 s=3.45 rad/s Final…

Q: What constant angular acceleration is required to reduce an object's angular velocity from 35.9…

Q: A wheel rotates with a constant angular acceleration of 2.00 rad/s?. If the angular speed of the…

A: S

Q: What is the angular acceleration of a ball that starts at rest and increases its angular velocity…

Q: A rigid object is initially at rest and set into rotational motion under a constant angular…

Q: The angular acceleration of a wheel is a = 6t4 – 4t² with a in radian per second- squared and t in…

A: As per our company guideline we are supposed to answer only first . kindly repost other parts in the…

Q: A wheel accelerates with a constant angular acceleration, α, of 4.5 rad/s2. If the initial angular…

Q: A flywheel with a radius of 0.210 mm starts from rest and accelerates with a constant angular…

A: Given Radius r = 0.210 mm = 0.210 x 10-3 m Angular acceleration α = 0.590 rad/s2 Initial angular…

Q: A DVD is rotating counterclockwise at constant angular acceleration. If it comes to a stop after…

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: The expression for the angular acceleration,

Q: a skater rotating at 7.25 rad/s with her arms extended has rotational inertia of 3.4 kg m square. if…

Q: A rotating wheel with a radius of 20.0 cm starts from rest and obtains an ang velocity of 60.0 rad/s…

A: Given:- The radius of the wheel is r = 20 cm = 0.20 m The angular velocity = 60.0 rad/s it start…

Q: A wheel has a constant angular acceleration of 5 rad/s2 in the clockwise direction and an inital…

A: Given data:Initial angular velocity = 40 rad/sFinal angular velocity = 0 rad/sTaking the direction…

Q: A wheel rotates through an angle of 13.8 rad as it slows down from 22.0 rad/s to 13.5 rad/s. What is…

A: The expression for the angular acceleration from angular kinematics equation,

Q: A wheel has a constant angular acceleration of 1.4 rad/s^2. Starting from rest, it turns through…

A: Given Angular acceleration, ß =1.4 rad/s² Theta1= 0 rad Theta2 = 130 rad w1 = 0, initial…

Q: An optical disk drive in a computer can spin a disk at up to 10,000 rpm. If a particular disk is…

A: Given: The revolution per minute of disk is N=10000 rpm. The spin of the particular disk is n=2250…

Q: A wheel has an initial angular velocity of 2.0 rad/s and an angular acceleration of 3.5 rad/s? for…

A: By equation of circular motion:- Wf = Wi + a.t Here, Wf . = final angular speed , Wi = initial…

Q: The angular speed of a fan decelerates from 11.6 rad/s to 7.8 rad/s in 4.5 s. What is the magnitude…

A: Given Initial angular velocity ωi=11.6rad/s Final angular velocity ωf=7.8rad/s Time t=4.5s

Q: Starting from rest, a wheel reaches and angular speed of 5.435 π rad/s in 12.65 s. a) Find the…

A: Given: ω=5.435π rad/s, t=12.65 s

Q: The rotor of a lab centrifuge has moment of inertia 0.0113 kg m^2 and spins at 1470 rad/s. If a…

A: The given data are: I=0.0113 kg.m2ω=1470 rad/sF=16 Nr=0.075 m Here, I, ω, F, and r represent the…

Q: A lathe rotates with an angular velocity of 3.00π rad/s. If the angular velocity decreases to 2.00π…

A: Given Data: The initial angular velocity is, ω=3π rad/s. The final angular velocity is, ω'=2π…

Q: If a wheel's moment of inertia is 5 kg m^2 about its rotation axis, what constant torque is required…

A: Given data: Moment of inertial of wheel is, I=5 kg·m2. Initial angular speed is, ω1=0 rad/s.…

Q: Awheel (radius 0.20 m) starts from rest and rotates witha constant angular acceleration of 2.0…

A: Linear acceleration is defined as the uniform acceleration caused by a moving body in a straight…

Q: What constant angular acceleration is required to reduce an object's angular velocity from 36.6…

A: angle covered in 13 revolution (θ) = 13x2π = 26 π ωf2-ωi2=2αθ α = 7.567 m/s2

Q: A flywheel with radius 0.300 m starts from rest and accelerates with a constant angular acceleration…

A: The tangential acceleration can be obtained as at=αr=0.600 rad/s20.300m=0.18m/s2

Q: In the figure, wheel A of radius rA = 8.29 cm is coupled by belt B to wheel C of radius rc = 25.3…

A: Given: RA = 8.29cm RB = 25.3cm α= 2.63rad/s2

Q: the angular velcoity of an airplane propeller increases from 12 rad/s to 16 rad/s while turning…

A: Initial angular velocity , ωi = 12 rad/s Final angular velocity , ωf = 16 rad/s Change in angle , ∆θ…

Q: Due to the rotation of the forked rod, the ball in the figure shown travels around the slotted path,…

Q: A rigid object under a constant angular acceleration has an initial angular velocity of 20.7 rad/s.…

Q: At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +29…

A: Given data: The initial angular velocity is ωi=29 rad/s. The constant angular acceleration is…

Q: What constant angular acceleration is required to reduce an object's angular velocity from 36.7…

Q: Started from rest, the two wheels of a mountain bike have both an angular acceleration of 4.0…

A: Given Initial angular speed is ω0=0 Angular acceleration is α=4.0 rad/s2 Angular displacement is…

Q: A fan blade is rotating with a constant angular acceleration of+11.2 rad/s2. At what point on the…

A: The constant angular acceleration of the fan blade is α=+11.2 rad/s2 Assume the acceleration due to…

Q: A person exerts a tangential force of 36.1 N on the rim of a diskshaped merry-go-round of radius…

A: Given: The Tangential force value is 36.1 N The Radius value is 2.74 m The Mass value is 167 kg The…

Q: At time t=0, the angular velocity of a wheel is 4.55 rad/s. The wheel is accelerating with constant…

Q: A truck's wheel (R = 0.72 m) is traveling at an initial angular velocity of 12.66 rad/s and is…

Q: If a wheel's moment of inertia is 1.00 kg m^2 about its rotation axis, what constant torque is…

A: Given data The moment of inertia is given as I = 1 kgm2. The final angular speed of the wheel is…

Q: A force vector, F = 3i− 12j, acts at a distance vector of r = 0.2i m from the axis of rotation on a…

A: GIVEN: F→ = 3i^-12j^ r→=0.2 i^ Moment of inertia I =3kg m2 FORMULA USED : α=τI where τ is torque I…

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 wheel has a constant angular acceleration of 6.0 rad/s?. Starting from rest, it turns through 290 rad.
(a) What is its final angular velocity (in rad/s)? (Enter the magnitude.)
rad/s
(b) How much time elapses (in s) while it turns through the 290 radians?

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 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?
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 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 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?
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 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 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?
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?
The angular speed of a wheel is given by (t) = 72.5 rad/s + (9.34 rad /s2) t. a. Is the wheels angular acceleration constant? Explain. b. Find an expression for the angular acceleration.
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?
The precession angular velocity of a gyroscope is 1.0 rad/s. If the mass of the rotating disk is 0.4 kg and its radius is 30 cm, as well as the distance from the center of mass to the pivot, what is the rotation rate in rev/s of the disk?
Calculate the rotational kinetic energy of a 12-kg motorcycle wheel if its angular velocity is 120 rad/s and its inner radius is 0.280 m and outer radius 0.330 m.