The angle that a spinning disc rotates through as a function of time is given in radians as0(t) = 2 + 3t – 2t?a. What is the angular velocity of the disc as a function of time?b. What is the angular acceleration of the disc?c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a pointon the edge of the disc when t=10 seconds?

Answered: The angle that a spinning disc rotates…

The angle that a spinning disc rotates through as a function of time is given in radians as 0(t) = 2 + 3t – 2t? a. What is the angular velocity of the disc as a function of time?

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 43P: A circular disk of radius 10 cm has a contant angular acceleration of 1.0rad/s2 ; at t=0 its angular...

See similar textbooks

Related questions

Q: A hamster running in a wheel of radius 15 cm spins the wheel at 16 revolutions per minute. Round…

Q: particle moves 6 m along a circle of radius 2.0 m. (Enter the magnitudes.) A.)Through what angle…

Q: A disk spins with a non-constant angular velocity given by: w(t) = Bt³ where B is a positive…

Q: A bicycle tire is spinning counterclockwise at 3.20 rad/s. During a time period Δt = 2.50 s, the…

A: Given data, Initial angular velocity ωi=3.2 rad/s (c.cw) Final angular velocity ωf=-3.2 rad/s (cw)…

Q: A child sits on a merry‑go‑round that has a diameter of .5.00 m. The child uses her legs to push the…

Q: A computer drive disk with a radius of 0.065 m is turned on starting from rest with a constant…

Q: A cylinder rotating at 11 rad/s is accelerated to 41 rad/s in 12 s. What is the angular acceleration…

A: Given data: Initial angular velocity (ω0) = 11 rad/s Final angular velocity (ω) = 41 rad/s Time (t)…

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: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 2t + 8, where ?…

A: Given value--- angular acceleration = 2t + 8. We have to find--- What is the angle in radians…

Q: An 8.0-cm diameter hard disk spinning at 7200 rpm can stop in 19 revolutions. a) What is the…

Q: A circular flywheel, with a diameter of 21 cm, accelerates uniformly from 22 rpm to 73 rpm in 2.3 s.…

A: diameter of flywheel (d) = 21 cm Radius of flywheel (R) = 10.5 cm Initial angular velocity = 22 rpm…

Q: A drill starts from rest. After 4 s of constant angular acceleration, it turns at a rate of 2.5x104…

A: initial angular velocity,wi=0 rad/sFinal rotational speed,Nf=2.5×104 rev/minFinal angular velocity…

Q: diameter

Q: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 3t + 9, where ?…

Q: A CD originally spinning at 636.9 revolution per minute slows down uniformly until it comes to a…

Q: A disc, with a non-zero initial angular velocity, undergoes a constant angular acceleration for T…

A: using equation of motion w = wo + αtwhere w is the final velocity wo is the initial angular velocity…

Q: The angular position of a rod varies as 14t radians from time t =0. The rod has two beads on it as…

A: Since you have already got the answer to the sub-parts (a), and (b), we will solve the other three…

Q: The blades of a windmill are 15m in length and rotate at 4 revolutions per minute. Determine the…

A: Length of blades is r = 15 m Angular speed is w = 4 rev/ min 1 rev/min = 2 x 3.14 / 60 rad/sec 1…

Q: A rotating bar's angular position is changing over time as 24.1t2 radians from time, t=0.0s. What is…

A: Given A rotating bar's angular position is changing over time as 24.1t2 radians from time, t=0.0s.…

Q: A drill starts from rest. After 4s of constant angular acceleration, it turns at a rate of 5x104…

A: Given, Initial angular velocity is wi = 0 final angular velocity is wf = 5 x 104 rev/min wf = 2π60 x…

Q: What is the magnitude of the average angular velocity of the eye?

Q: The propeller of an aircraft accelerates from rest with an angular acceleration ? = 3t + 9, where ?…

Q: The ability of the human eye to rapidly rotate was studied using contact lenses fitted with…

Q: The blades of fan running at low speed turn at 65 rad/sec. when the fan goes in high speed , the…

A: ω0 = 65 rad /sec ω = 95 rad /sec ∆T = 5.5 seconds . To find = a) Magnitude of angular acceleration…

Q: An object rotates through 8.4 radians in 2.6 seconds as it accelerates uniformly from rest. What is…

Q: The wheels of a sport car go from rest to 3000 rpm in 3 second. Its angular acceleration a is…

A: Given data: Initial angular velocity (ω0) = 0 rad/s Final angular velocity (ω)= 3000 rpm Time (t) =…

Q: A wind turbine is rotating counterclockwise at an angular speed of W = 3 rad and slows down at a…

A: Given : w = 3 rad/s t = 3.5 s r = 18.5 m

Q: A 0.2 m-radius wheel rotates clockwise from rest with constant angular acceleration of 0.2 rad/s2,…

A: Given Radius of the wheel is r=0.2 m Initial angular speed is ω0=0 Angular acceleration isα=0.2…

Q: A figure skater performs a twisting jump. She rotates around her longitudinal axis 2 times in 0.65…

A: Given data: Angular displacement (Δθ) = 2 rev Time (t) = 0.65 s Required: The average angular…

Q: cylinder spins along its symmetry axis at 20 rad/s and linearly slows down to a stop over 2 seconds.…

Q: A basketball player spins the ball on his finger with an angular acceleration of 81 rad/s2 a. What…

A: The objective of the question is to find the final angular velocity of the basketball. The given…

Q: Starting from rest, a wheel with a radius of 0.48 m begins to roll across the ground in a straight…

A: From Kinematic equation for rotational motion, ω2 = ω02 + 2αθ Given parameters, Radius of wheel r…

Q: A lawnmower blade has a length of 0.75 m and a mass of 1.5 kg. The blade rotates around its center…

Q: A figure skater begins spinning counterclock- wise at an angular speed of 4.9 T rad/s. Dur- ing a…

A: Given, Initial angular speed,ωi=4.9π rad/s Final angular speed,ωf=7.3π rad/s Time,t=4.8 s

Q: A blade with a 0.25 m radius starts from rest and rotates with an accleration of 0.25 rad/s2. what…

A: Given data The radius of the blade is r = 0.25 m. The acceleration of the α=0.25 rad/s2. The…

Q: Topic: Rotational Motion Plate #18. After using your DVD player to watch a movie, you pressed…

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: An object rotates through 8.5 radians in 3.2 seconds as it accelerates uniformly from rest. What is…

A: The equation of angular motion we use to solve this is ωf-ωi = αt, where ωf = the final angular…

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

The angle that a spinning disc rotates through as a function of time is given in radians as
0(t) = 2 + 3t – 2t?
a. What is the angular velocity of the disc as a function of time?
b. What is the angular acceleration of the disc?
c. If the disc has a radius of 2 meters, what is the magnitude of the tangential velocity of a point
on the edge of the disc when t=10 seconds?

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

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

During a 6.0-s time interval, a fly-wheel with a constant angular acceleration turns through 500 radians that acquire an angular velocity of 100 rad/s. (a) What is the angular velocity at the beginning of the 6.0 s? (b) What is the angular acceleration of the fly-wheel?
A circular disk of radius 10 cm has a contant angular acceleration of 1.0rad/s2 ; at t=0 its angular velocity is 2.0 rad/s. (a) Determine the disk’s angular velocity at t=5.0s (b) What is the angle it has rotated through during this time? (c) What is the tangential acceleration of a point on the disk at t=5.0s ?
A compact disc rotates at 500 rev/min. If the diameter of the disc is 120 mm, (a) what is the tangential speed of a point at the edge of the disc? (b) At a point halfway to the center of the disc?
Integrated Concepts An ultracentrifuge accelerates from rest to 100,000 rpm in 2.00 min. (a) What is its angular acceleration in rad/s2? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the radial acceleration in m/s2 and multiples of g of this point at full rpm?
An ultracentrifuge accelerates from to 100,000 rpm in 2.00 min. (a) What is the average angular acceleration in rad/s2 ? (b) What is the tangential acceleration of a point 9.50 cm from the axis of rotation? (c) What is the centripetal acceleration in m/s2 and multiples of g of this point at full rpm? (d) What is the total distance travelled by a point 9.5 cm from the axis of totation of the ultracentrifuge?
The angular velocity of a rotating rigid body increases from 500 to 1500 rev/min in 120 s. (a) What is the angular acceleration of the body? (b) Through what angle does it turn in this 120 s?
Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians per second? (b) What is the centripetal acceleration of the skater's nose if it is 0.120 m from the axis of rotation? (c) An exceptional skater named Dick Button was able to spin much faster in the 1950s than anyone since—at about 9 rev/s. What was the centripetal acceleration of the tip of his nose, assuming it is at 0.120 m radius? (d) Comment on the magnitudes of the accelerations found. It is reputed that Button ruptured small blood vessels during his spins.
The angular position of a rod varies as 20.0t2radians from time t=0 . The rod has two beads on it as shown in the following figure, one at 10 cm from the ratation axis and the other at 20 cm from the rotation axis. (a) What is the instantaneous angular velocity of the rod at t=5s ? (b) What is the angular acceleration of the rod? (c) What are the tangential speeds of the beads at t=5s ? (d) What are the tangential acceleration of the beads at t=5s ? (e) What are the centripetal accelerations of the beads at t=5s ?
A wheel 1.0 m in diameter rotates with an angular acceleration of 4.0rad/s2 . (a) If the wheel’s initial angular velocity is 2.0 rad/s, what is its angular velocity after 10 s? (b) Through what angle does it rotate in the 10-s interval? (c) What are the tangential speed and acceleration of a point on the rim of the wheel at the end of the 10-s interval?
With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s under a constant angular acceleration. (a) What is its angular acceleration in rad/s2 ? (b) How many revolutions does it go through in the process?
(a) What is the angular speed of the second hand of a clock? (b) What is the direction of as you view a clock hanging on a vertical wall? (c) What is the magnitude of the angular acceleration vector of the second hand?
A shaft is turning at 65.0 rad/s at time t = 0. Thereafter, its angular acceleration is given by =10.05.00t where is in rad/s2 and t is in seconds. (a) Find the angular speed of the shaft at t = 3.00 s. (b) Through what angle does it turn between t = 0 and t = 3.00 s?