Question: The angular acceleration of a body which is rotating about a fixed axis is given by = kw 2 , where the constant k

The angular acceleration of a body which is rotating about a fixed axis is given by α = −kw², where the constant k = 0.1 (no units). Determine the angular displacement and time elapsed when the angular velocity has been reduced to one-third its initial value ω₀ = 12 rad /s.

Step by Step Solution

★★★★★

3.29 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Angular displacement 180 rad Time elapsed 15 s Explanation The angular acceleratio... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Engineering Mechanics Dynamics Questions!

An example in this chapter referred to a survey of 410 human resource professionals. If those subjects are identified with numbers from 1 through 410, does it make sense to calculate the average...

The initial angular velocity and the angular acceleration of four rotating objects at the same instant in time are listed in the table that follows. For each of the objects (a), (b), (c), and (d),...

a slab is rotating about a fixed axis passing through point g which is also its center of mass calculate the linear momentum about point p on the slab

The angular acceleration of a flywheel is defined by the relation = 30e0.2t, where and t are expressed in rad/s2 and seconds, respectively. Knowing that = 0 and = 0 at t = 0, determine the...

Solve via handwritten ,Thank you. CoursHeroTranscribedText: The angular acceleration of a body which is rotating about a fixed axis is given by a = -kw3, where the constant k = 0.15 (no units)....

3 , Which of the following is the correct definition ofn rigid body?A body that cannot defom under applicd loads.A body with a fixed shape and size.a . b . C . 4 . When docs a rigid body rotate about...

1. Find the angular speeds of the following: (a) Earth's rotation about its axis. (b) The moon's rotation about the earth. (c) The second hand of an analogue clock. 2. A wheel rotating about a fixed...

( 4 8 . 1 ) A rigid body rotating about a fixed axis has its angular position ( in degrees ) recorded at the times shown in the chart. \ table [ [ Time [ s ] , 0 , 1 , 2 , 3 ] , [ Position [ ] , 3 0...

gets from rest at tref and rotates with an angular given by off)4.0 where is in seconds and is in rad What is the angular acceleration at 1-40 seconds? C. 20 A Omda 8-12.0 rad D-16 d The diagram...

Question Completion Status: 1 2 3 4 6 7 8 9 10 11 Question 10 8 points Save An The figure below shows a grey rigid body rotating about a fixed axis. The rotation axis passes through O and is...

O cmll 12 14 5 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 40 uTorque and Equilibrium Lab goals To correctly complete the Lab on center of mass. To understand the concepts of...

14. Complete the boxes below for sulfur tetrabromide (SBr4) (14 marks): SBR4 i. Draw the Lewis structure of SBR4: (4 marks) ii. Name of electron domain geometry: (2 marks) iii. Name of molecular...

2: Suppose a student a titration of an unknown Experiment conducted solution of the weak acid HNO2 with .0.265 M NaOH. First, the student diluted 15.0 mL1 of the HNO2 solution with 85.0 mL of water...

Problem 6 . 2 A ( Static ) Journalizing and posting adjusting and closing entries and preparing a postclosing trial balance. LO 6 - 1 , 6 - 2 A completed worksheet for The Oxford Group is given...

They are committed to learning, investing enormous resources and effort to remaining current and responsive to change. They view employee growth and development as a critical foundation of business...

Calculate the damping ratio of the system shown if the weight and radius of gyration of the stepped cylinder are W = 20 lb and k = 5.5 in., the spring constant is k = 15 lb/in., and the damping...

A linear oscillator with mass m, spring constant k, and viscous damping coefficient c is set into motion when released from a displaced position. Derive an expression for the energy loss Q during one...

The triangular frame is constructed of uniform slender rod and pivots about a horizontal axis through point O. Determine the critical driving frequency w c of the block B which will result in...

Workshop Exercise Variance Analysis Barack Obama Ltd manufactures a single product, Tuxedos. The company uses a standard cost accounting system. From notes scattered on the desk of the cost...

Please show your works and answer in Finance way (not in excel) and highlight the answer. thank you 8. (Corporate application) You own a gold mine that is running dry. It will generate $2 mil in cash...

You've borrowed $28,512 on margin to buy shares in Ixnay, which is now selling at $43.2 per share. You invest 1,320 shares. Your account starts at the initial margin requirement of 50%. The...