8At t = 0 a grinding wheel has an angular velocity of 30.0 rad/s.It has a constant angular acceleration of 35.0 rad/s² until acircuit breaker trips at time t = 1.70 s. From then on, it turns.through an angle 438 rad as it coasts to a stop at constantangular acceleration.Through what total angle did the wheel turn between t = 0 and the time it stopped?Express your answer in radians.15| ΑΣΦΑ0=SubmitPart BRequest AnswerAt what time did it stop?Express your answer in seconds.t=VG ΑΣΦ1→ CredoCBI ??radS ▼Part CWhat was its acceleration as it slowed down?Express your answer in radians per second squared.α =— ΑΣΦ?rad/s²

Answered: Image /qna-images/answer/d3dd8b65-5a67-4ab8-9a14-e0f98de1f450.jpg

At t=0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular acceleration of 35.0 rad/s² until a circuit breaker trips at time t = 1.70 s. From then on, it turns through an angle 438 rad as it coasts to a stop at constant angular acceleration.

At t=0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular acceleration of 35.0 rad/s² until a circuit breaker trips at time t = 1.70 s. From then on, it turns through an angle 438 rad as it coasts to a stop at constant angular acceleration.

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 ferris wheel is rotating clockwise at an angular speed of 1.83 rpm. When the ride operator…

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

Q: A ceiling fan that was rotating with an angular velocity of 12.6 rad>s begins to slow downwhen it…

Q: At its lowest setting a centrifuge rotates with an angular speed of ω1 = 350 rad/s. When it is…

Q: A circular disk of radius 2.0 m rotates, starting from rest, with a constant angular acceleration of…

Q: A wheel is rotating about an axis that is in the Z-direction. The angular velocity ωzωz is -6.00…

A: Initial time, ti = 0 sec Initial angular velocity, ωi = (-) 6 rad/sec After some time, tf = 14 sec…

Q: Wheel A of radius ra = 7.2 cm is coupled by belt B to wheel C of radius rc = 21.7 cm. Wheel A…

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: At t = 0 a grinding wheel has an angular velocity of 23.0 rad/s. It has a constant angular…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: A circular disc is initially rotating at 7.7 rad/s and has a constant angular acceleration. After…

Q: A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.05 × 10ʻ…

A: Given data Initial angular speed is: ωo = 0 rad/s Intermediate angular speed is: ω1 = 1.05 x 104…

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

Q: A 12 cm disk in radius is originally rotating at ωo = 17 rad/s. If it is subjected to a constant…

Q: A boy is riding a rotating merry-go-round and is standing r=4.8 m from its center. At this instant,…

A: The objective of the question is to find the net acceleration of the boy who is riding a rotating…

Q: A rotating wheel requires 4.00s to rotate through 32.0 revolutions. Its angular speed at the end of…

Q: A 40.0-cm diameter disk rotates with a constant angular acceleration of 2.60 rad/s2. It starts from…

Q: A rotating wheel requires 13.0 s to rotate 36.0 revolutions. Its angular velocity at the end of the…

A: The objective of the question is to find the constant angular acceleration of the wheel.

Q: A disk, 12 cm in radius, initially at rest begins to rotate for 1.05 minutes about its axis with…

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

Q: A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.40? rad/s2…

Q: Wheel A of radius ra = 7.2 cm is coupled by belt B to wheel C of radius rc = 21.7 cm. Wheel A…

A: Radius of Wheel "A"rA=7.2 cm Radius of Wheel "C"rC=21.7 cm Angular acceleration of Wheel "A"αA=7.2…

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

Q: The disk starts at ω0 = 2 rad/s when θ = 0, and is given an angular acceleration a = (0.3θ) rad/s2,…

A: Given : ω0 = 2rad/sa = (0.3θ) rad/s2 r = 2m

Q: The blades of a ceiling fan have a radius of 0.77 m and are rotating about a fixed axis with an…

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

Q: The crankshaft in a race car goes from rest to 3000 rpmrpm in 3.5 ss. What is the angular…

A: Given: The initial angular speed is 0 rad/s. The final angular speed is 3000 rpm. The time interval…

Q: A centrifuge is spinning through an angle given by 262.8e^-18.1t +25 radians. what is the angular…

A: angular acceleration is defined as the double derivative of the angle with respect to time is…

Q: An electric fan turns with constant angular acceleration of 1.24 rad/s^2. How much time does it take…

A: Given: α=1.24rad/s2, ωf=32rad/s, ωi=0rad/s Using the kinematic relation, the time taken by the fan…

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: Starting from rest at t = 0 s, a wheel undergoes a constant angular acceleration. When t = 3.8 s,…

A: The angular velocity of the wheel at time 3.8 s is 5.5 rad/s. The angular acceleration till 25 s.…

Q: The end of the cutting cord on a gas-powered weed cutter is 0.21 m in length. If the motor starts…

Q: A 12 cm disk in radius is originally rotating at wo = 17 rad/s. If it is subjected to a constant…

A: Angular velocity = W0 = 17 rad/s angular acceleration = α= 7 rad/s2 number of revolutions = n = 3…

Q: A record rotates through 5.6 radians as it slows down uniformly from 78.0rpm to 22.8 rpm. What is…

A: The objective of the question is to find the magnitude of the angular acceleration of the record. We…

Q: A platform is rotating with an angular speed of 3.00 rad/s and an angular acceleration of 11.0…

Q: Two flywheels, 1 and 2, are frictionlessly and independently mounted on the same axie. They have…

A: In the absence of external torque, angular momentum is conserved. Apply principle of conservation of…

Q: A ball of mass 3.1 kg is rolling along level ground. Initially its turning at 70.6 radians/second,…

Q: A ceiling fan is rotating counterclockwise with a constant angular acceleration of 0.40? rad/s2…

A: The fan starts from rest. So the initial angular velocity of the fan is zero. The expression for…

Q: A “blink of an eye” is a time interval of about 150 ms for an average adult. The “closure” portion…

A: Consider the given data as below. Time for closure, t=55 ms=0.055 s Initially eyelids are at rest.…

Q: A crankshaft rotating at 10.2 rad/s undergoes an angular acceleration of 2.2 rad/s^2. What is the…

Q: A 42.0-cm diameter disk rotates with a constant angular acceleration of 3.00 rad/s2. It starts from…

A: Given:Radius of disk, r = 21.0 cmAngular racceleration ,α=3.00 rad/s2point P is at an angle = 57.3°…

Q: At t=0 a grinding wheel has an angular velocity of 30.0 rad/s. It has a constant angular…

A: We can solve this problem using kinematic equations of rotational motion. a) The total angle turned…

Q: merry-go-round rotates from rest with an angular acceleration of 1.36 rad/s2. How long does it take…

Q: Starting from rest at t = 0 s, a wheel undergoes a constant angular acceleration. When t = 3.8 s,…

A: The angular velocity of the wheel at time 3.8 s is 6.7 rad/s. The angular acceleration till 24 s.…

Q: At t = 0s a grinding wheel has an angular velocity of 24.0 rad/s. It has a constant 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

8
At t = 0 a grinding wheel has an angular velocity of 30.0 rad/s.
It has a constant angular acceleration of 35.0 rad/s² until a
circuit breaker trips at time t = 1.70 s. From then on, it turns.
through an angle 438 rad as it coasts to a stop at constant
angular acceleration.
Through what total angle did the wheel turn between t = 0 and the time it stopped?
Express your answer in radians.
15| ΑΣΦΑ
0=
Submit
Part B
Request Answer
At what time did it stop?
Express your answer in seconds.
t=
VG ΑΣΦ
1
→ C
redo
C
BI ?
?
rad
S

▼
Part C
What was its acceleration as it slowed down?
Express your answer in radians per second squared.
α =
— ΑΣΦ
?
rad/s²

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: Determine the given variables.

VIEW

Step 2: Calculate the angular displacement and time.

VIEW

Step 3: Calculate the angular acceleration when it slow down

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 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 electric circular saw is designed to reach its final angular speed, starting from rest, in4.73 s. Its average angular acceleration is 341.4 rad/s2. Obtain its final angular speed.
The angular position of a point on the rim of a rotating wheel is given by e = 4.76t - 2.95t2 + 3.45t³, where e is in radians and t is in seconds. What are the angular velocities at (a) t = 2.41 s and (b) t = 7.26 s? (c) What is the average angular acceleration for the time interval that begins at t = 2.41 s and ends at t = 7.26 s? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units (e) Number i Units >
A rotating disk is initially spinning at w = 6rev / s , slows down and stops in 19.7 . What is the magnitude of the disk's average angular acceleration? (in rev/s^ ^ 2)
A gear A has an angular acceleration of a =10 rad/s^2 and radius 0.5 m, the magnitude of the angular velocity and angular acceleration of gear B after the time 2 sec.The Gear A has radius 0.2 m starts from rest. 10 rad/sec,25 rad/sec^2 50 rad/sec,25 rad/sec^2 100 rad/sec,25 rad/sec^2 O 50 rad/sec, 100 rad/sec^2
A disk, initially rotating at 145 rad/s, is slowed down with a constant angular acceleration of magnitude 2.65 rad/s2. (a) How much time does the disk take to stop? (b) Through what angle (rad) does the disk rotate during that time?
A thread is wrapped around a cylindrical spool, of radius R = 2.0 cm, whose central axis is fixed on a support. Somebody’s hand pulls the thread off the spool. This causes the spool to rotate. The acceleration of the person’s hand is constant. Starting from rest, it takes 10 seconds for 5.0 meters of thread to be pulled off. What is the angular speed of the spool at time t = 2.0 s?
A rotating disk is initially spinning at w= 2.7 rev/s, slows down and stops in 19.4 s. What is the magnitude of the disk's average angular acceleration? (in rev/s^2) 0.28 .a O 26.19 .b O 0.14.c O 0.14-.d O
A thin disk rotates about an axis that goes through its center perpendicular to its plane. The disk is rotating counter- clockwise and slowing down. What can be said about the angular speed and acceleration of the disk? O Angular speed is positive, angular acceleration is positive O Angular speed is negative, angular acceleration is positive O Angular speed is negative, angular acceleration is negative O Angular speed is positive, angular acceleration is negative
At time t=0, the angular velocity of a wheel is 4.55 rad/s. The wheel is accelerating with constant angular acceleration -7.42 rad/s2. After 0.386 s, find the magnitude of the linear acceleration (in m/s2) of a point on the wheel a distance 0.500 m from the axis of rotation.
Starting from rest, a wheel with a radius of 0.39 m begins to roll across the ground in a straight line under a constant angular acceleration of 5 rad/s2. What is the speed of the wheel in m/s after it has rotated through 14.8 full revolutions?
An object rotates about a fixed axis, and the angular position of a reference line on the object is given by θ = 0.580e6t, where θ is in radians and t is in seconds. Consider a point on the object that is 7.00 cm from the axis of rotation. At t = 0, what are the magnitudes of the point's (a) tangential component of acceleration and (b) radial component of acceleration?
A large disk with a 2.4 m radius rotates from rest with a constant angular acceleration of 0.30 rad/s2. What are the linear speed and the magnitude of the acceleration of a point on the rim 2.5 s after it started rotating?