The angular acceleration of a wheel is a = 8.0t“ - 6.0t2, with a in radians per second-squared andt in seconds. At time t = 0, the wheel has an angular velocity of + 4 rad/s and an angular position of + 6 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5- i t3+ i Units (b) Number i t6. i t4+ i t+ i Units

The angular acceleration of a wheel is a = 8.0t“ - 6.0t2, with a in radians per second-squared andt in seconds. At time t = 0, the wheel has an angular velocity of + 4 rad/s and an angular position of + 6 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s). (a) Number i t5- i t3+ i Units (b) Number i t6. i t4+ i t+ i Units

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: An object moves uniformly around a circular path of radius 21.0 cm, making one complete revolution…

A: Given, R = 21cm T = 2.05s a). Transitional speed (v)= 2πR/T = 2π(21)/2.05 v = 64.36433729 cm/s

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

Q: The angular acceleration of a wheel is a = 7.0t4 - 7.0t², with a in radians per second-squared and t…

A: The objective of the question is to find the expressions for the angular velocity and the angular…

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

Q: Starting from ?o = 0 and ωo = π rad/s, a wheel is given a constant angular acceleration of 4π…

A: Given data ωi=0α=4π rad/s2t= 4 sec

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

A: Given: The angular displacement of the wheel is 0 rad at t=0s s. The initial angular velocity is 29…

Q: (a) Express the following angles in radians. 25° = rad 55° = rad 75° = rad 190° = rad (b) The…

A: 1. Angles into radians 1 degree=π180radians 25°=25×π180=0.436 rad55°=55×π180=0.959…

Q: A Ferris wheel slows down with a constant angular acceleration of magnitude 5.0 rad/s 2. If the…

A: Given information: The magnitude of the acceleration (α) = 5.0 rad/s2 No. of revolutions the wheel…

Q: A wheel 203 cmcm in diameter takes 2.30 ss for each revolution. Find the period of the wheel.…

Q: A centrifuge rotor with moment of inertia 2.48 is rotating with constant angular velocity 3.07. What…

A: The angle changed is, θ=ωt

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: An engine flywheel initially rotates counterclockwise at 5.93 rotations/s. Then, during 21.3 s, its…

A: formula:

Q: The angular acceleration of a wheel is a = 7.0t4 - 7.0t², with a in radians per second-squared and t…

A: The objective of the question is to find the expressions for the angular velocity and the angular…

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: The angular acceleration of a wheel is a = 7.0t4 - 7.0t², with a in radians per second-squared and t…

Q: The angular acceleration of a wheel is a = 7.0t4 – 6.0t², with a in radians per second-squared and t…

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: Peg P is driven by the fork link OA along the curved path described by r= (20) ft. At the instant 0…

Q: The angular acceleration of a wheel is a = 9.0t4 - 8.0t2, with a in radians per second-squared and t…

Q: 4t

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: the wheel turns through

A: All questions are answered below

Q: The angular acceleration of a wheel is a = 7.0t4 - 7.0t², with a in radians per second-squared and t…

A: The objective of the question is to find the expressions for the angular velocity and the angular…

Q: At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise. It begins accelerating…

A: The formula to calculate the final angular speed of the wheel when it rotates counterclockwise is…

Q: The SI unitfor angular acceleration m/s^2 rad/s rad/s^2 non

A: angular acceleration is simply the change of angular velocity in some given interval of time.

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

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 angular acceleration of a wheel is a = 8.0t4 - 6.0t?, with a in radians per second-squared and t in seconds. At time t = 0, the wheel
has an angular velocity of + 4 rad/s and an angular position of + 6 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the
angular position (rad) as functions of time (s).
(a) Number
i
t5- i
t3+
i
Units
(b) Number
i
t6- i
t4+ i
t+
Units

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 3

VIEW

Step by step

Solved in 3 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

The angular position of a point on the rim of a rotating wheel is given by 0 = 7.36t - 5.00+2 + 3.1113, where O is in radians and t is in seconds. What are the angular velocities at (a) t = 2.31 s and (b) t = 6.20 s? (c) What is the average angular acceleration for the time interval that begins at t = 2.31 s and ends at t = 6.20 ? What are the instantaneous angular accelerations at (d) the beginning and (e) the end of this time interval? Only need help with D E part of problem
At time t = 0 s, a wheel is spinning at 84 rad/s counterclockwise. It begins accelerating counterclockwise at 11 rad/s2 until its angular speed is doubled, then the angular acceleration is reversed until the wheel comes to a stop. How many times does the wheel spin (measured in number of rotations) between t = 0 and when the wheel comes to rest? (Please answer to the fourth decimal place - i.e 14.3225)
The angular position as a function of time of a rotating cylinder is giving by: θ(t) = 2.50(rad/s2)t2 – 0.60(rad/s3)t3. Find the maximum angular speed of the cylinder. Use calculus.
An engine flywheel initially rotates counterclockwise at 6.83 rotations/s. Then, during 25.1 s, its rotation rate changes to 2.19 rotations/s clockwise. Find the flywheel's average angular acceleration (including its sign) in radians per second squared. Define counterclockwise rotation as positive. what is the average angular acceleration?
The angular acceleration of a wheel is α = 8.0t4 – 7.0t2, with αα in radians per second-squared and t in seconds. At time t = 0, the wheel has an angular velocity of +8 rad/s and an angular position of +1 rad. Write expressions for (a) the angular velocity (rad/s) and (b) the angular position (rad) as functions of time (s).
An electric motor rotating a workshop grinding wheel at a rate of 151rev/min is switched off. Assume constant angular deceleration of magnitude 2.93 rad/s2. Through how many revolutions does the wheel turn before it finally comes to rest?
A child sits on a merry-go-round that has a diameter of 4.00 m. The child uses her legs to push the merry-go-round, making it go from rest to an angular speed of 17.0 rpm in a time of 43.0 s. What is the average angular acceleration aavg of the merry-go-round in units of radians per second squared (rad/s?)? davg = rad/s2 What is the angular displacement Að of the merry-go-round, in units of radians (rad), during the time the child pushes the merry-go-round? A0 = rad about us careers privacy policy terms of use contact us help tv MacBook Air II F8 F10 D00 000 CA F9 F7
A computer hard disk starts from rest, then speeds up with an angular acceleration of 190 rad/s2 until it reaches its final angular speed of 7200 rpm. How many revolutions has the disk made 10.0 s after it starts up?
A basketball player spins the ball on his finger with an angular acceleration of 81 rad/s2 a. What is the ball's final angular velocity, in radians per second, if it starts from rest and the acceleration lasts 2.2s.
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)
The angular position of a rotating object as a function of time is given below: e = 3.113-2.5t2 +4.7t+d Here e is in units of radians and t is in units of seconds and d is constant. Determine the instantaneous angular acceleration of the object at t=2.9s. Express your answer in units of rad/s using one decimal place.
A wheel rotating with a constant angular acceleration turns through 13 revolutions duringa 7 s time interval. Its angular velocity at theend of this interval is 18 rad/s.What is the angular acceleration of thewheel? Note that the initial angular velocity is not zero.Answer in units of rad/s2.