An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 3.5 rad. If it has an initial angular velocity of 0 rad/s and an acceleration of 0.75 rad/s², what is its final angular velocity?

An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 3.5 rad. If it has an initial angular velocity of 0 rad/s and an acceleration of 0.75 rad/s², what is its final angular velocity?

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

Chapter3: Motion In Two Dimensions

Section: Chapter Questions

Problem 30P: A point on a rotating turntable 20.0 cm from the center accelerates from rest to a final speed of...

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: A ball (mass = 8.5 kg) is rolling at a constant angular acceleration of 1.670 rad/s2. If its…

A: According to the rotational kinematics equation, the angular displacement of the particle is,…

Q: A 44.0-cm diameter disk rotates with a constant angular acceleration of 2.60 rad/s2. It starts from…

A: The angular speed of the wheel is

Q: A centrifuge rotor is accelerated for 30 seconds from rest to 20000 rpm. Through how many…

A: given data: final angular speed=20000rpm time of acceleration=30s

Q: A bus starts from rest and travels with a constant acceleration of 1.6 m/s- for 10.3 s. What is the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: At time t = 0s, a wheel has an angular displacement of zero radians and an angular velocity of +28…

A: Given data Initial angular velocity of wheel = 28 rad/s Final angular velocity, comes to rest, = 0…

Q: A Ferris wheel rotates at an angular velocity of 0.30 rad/s. Starting from rest, it reaches its…

Q: At time t = 0 s, a wheel has an angular displacement of zero radians and an angular velocity of +25…

Q: A carousel with an angular speed of 0.25 rev/s. As it is brought to rest with a constant…

A: An angular speed, ω=0.25 ravs=0.25×2π rads=1.57 rads and ω0=0. Time, θ=6.5 rev=6.5×2π rad=40.82 rad…

Q: A skater during her finale can increase her rotation rate from an initial rate of 0.4 rot/sec to a…

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

Q: A rotating disk is initially spinning at w= 4.1 rev/s, slows down and stops in 41.5 s. What is the…

A: Given that Initial Angular velocity ω = 4.1 rev/s Final angular velocity ω' = 0 ( for stop ) time…

Q: An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 8 rad. If…

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

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.20 x 104…

Q: An owl's head rotates through an angle of 306° as it hunts. If the head slows down from 111.5 rpm to…

Q: A 40.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from…

A: (a) From the equation of angular motion, determine the angular speed of the wheel at t=2.41 s.

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.42 x 104…

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

Q: A bicycle wheel has an initial angular velocity of 2.50 rad/s . Part A If its angular…

A: Given, Initial angular velocity of the bicycle = 2.50 rad/s. In part A, it is given that the angular…

Q: At t = 2.50 s, find the angular speed of the wheel. rad/s (b) At t = 2.50 s, find the magnitude…

Q: A bicycle wheel has an initial angular velocity of 1.50rad/s. (a) If its angular acceleration is…

A: Initial angular velocity of bicycle wheel (ωi) = 1.50 rad/sec. (a) Constant angular acceleration (α)…

Q: A rope is wrapped around a circular pulley such that its acceleration is given by a = 10t (in m/s²,…

Q: At t = 0 it is observed that a rotating object has an angular velocity of 3 rad/s. The object also…

A: Write the given data. ω0=3 rad/sα=2 rad/s2t= 4 s

Q: A bicycle tire is spinning counterclockwise at 4.00 rad/s. During a time period Δt = 2.10 s, the…

A: Given: Initial angular velocity (w1) = 4 rad/s Final angular velocity (w2) = -4 rad/s angular…

Q: Suppose a flywheel originally has an angular velocity of 45.0 rad/s in the counterclockwise sense.…

Q: An optical disk drive in your computer can spin a disk up to 10,000 rpm (about 1045 rad/s). If a…

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: A child on a rotating ride at a fairground has a constant angular acceleration of -0.20 rad/s2 and…

A: Use the equation of motion to solve for the final position of the child on the ride. θ=θ0+ωt+12αt2…

Q: A 41.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from…

A: a. Angular speed of the wheel is ω=ω0+αt=0+3 rad/s22.44 s=7.32 rad/s

Q: The angular position of a 0.360m-diameter flywheel is given by 0 = (2.00 rad/s³) t³ . Find the…

Q: A wheel (radius 0.350 m) starts from rest and rotates with a constant angular acceleration of 2.20…

Q: A wheel rotates with a constant angular acceleration of 2.00 rad/s2. If the angular speed of the…

Q: A bicycle wheel has an initial angular velocity of 1.50 rad/s. (a) If its angular acceleration is…

A: The first and the third equation of motion for the rotational motion is w = wo + α tw2 = wo2 + 2 αθ…

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: Starting from rest at t=0, a wheel undergoes a constant angular acceleration. When t=2.33s, the…

A: Given data: At time t=2.33 s, the angular velocity of the wheel is ω=4.96 rad/s Acceleration…

Q: The angular acceleration of the disk is defined by a = (3t2+12) rad/s2, where "t" is in seconds. If…

Q: A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s…

Q: How long does it take for a rotating object to speed up from 15.0 rad/s to 33.3 rad/s if it has a…

A: Given data: Initial angular velocity (ω0) = 15.0 rad/s Final angular velocity (ω) = 33.3 rad/s…

Q: A disk of radius 10 cm that rotates about a fixed axis starts from rest and accelerates at a…

Q: A bicycle wheel has an initial angular velocity of 2.50 rad's. Its angular acceleration is constant…

Q: A wheel (radius = 0.20 m) starts from rest and rotates with a constant angular acceleration of 2.0…

Q: A large disk with a 2.4 m radius rotates from rest with a constant angular acceleration of 0.30…

A: Use the rotational analogue of the first kinematic equation expressed as,

Q: A bicycle wheel has an initial angular velocity of 1.50 rad/s. (a) If its angular acceleration is…

A: Given data: Initial angular velocity (ωi) = 1.50 rad/s Angular acceleration (α) = 0.300 rad/s2 Time…

Q: A power drill starts from rest and undergoes uniform angular acceleration for a period of 0.175 s…

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

An object is swung in a horizontal circle, starting at position zero (0 rad) and ends at 3.5
rad. If it has an initial angular velocity of 0 rad/s and an acceleration of 0.75 rad/s², what
is its final angular velocity?

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

An ice skater is preparing for a jump with turns and has his arms extended. His moment of inertia is 1.8kgm2 while his arms are extended, and he is spinning at 0.5 rev/s. If he launches himself into the air at 9.0 m/s at an angle of 45 with respect to the ice, how many revolutions can he execute while airborne if his moment of inertia in the air is 0.5kgm2 ?
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?
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.
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 massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?
A track star runs a 400-m race on a 400-m circular track in 45 s. What is his angular velocity assuming a constant speed?
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?
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 bicycle tire is spinning clockwise at 2.50 rad/s. During a time period t = 1.25 s, the tire is slopped and spun in the opposite (counterclockwise) direction, also at 2.50 rad/s. (Calculate (a) the change in the tires angular velocity and (b) the tire's average angular acceleration av.
Jeff, running outside to play, pushes on a swinging door, causing its motion to be briefly described by = t2 + 0.800 t + 2.00,where t is in seconds and is in radians. At t = 0 and at t = 1.50s, what are the a. angular position, b. angular speed, and c. angularacceleration of the door?
If a rigid body has a constant angular acceleration, what is the functional form of the angular velocity In terms of the time variable?
Jupiter rotates about its axis once every 9 hours 55 minutes. a. What is Jupiter's angular speed of rotation? b. What is the effect of this rapid rotation on the shape of theplanet?