**Problem Description**A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N·m is applied to the outside of the hoop for 10 seconds.**Diagram Explanation**The diagram shows a uniform disk with the following labeled points:- \(O\) is on the axis of rotation.- \(m\) represents mass.- \(R\) indicates the radius of the disk.- \(C\) is the center point of the disk.- The disk is depicted in a horizontal orientation.**Questions**a. What is the angular acceleration?b. What is its angular speed after 10 seconds?c. How much kinetic energy (KE) does the disk have after 10 seconds?d. How much work did the external torque do on the disk?e. What is the linear velocity of a point on the outside of the disk after 10 seconds?

Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside of the hoop for 10 sec. What is the angular acceleration? b. What is its angular speed after 10 sec? c. How much KE does the disk have after 10 sec. d. How much work did the external torque do on the disk? What is the linear velocity of a point on the outside of the disk after 10 sec?

8. A 3 kg uniform disk has a radius of 2 m. An external torque of 10 N-m is applied to the outside of the hoop for 10 sec. What is the angular acceleration? b. What is its angular speed after 10 sec? c. How much KE does the disk have after 10 sec. d. How much work did the external torque do on the disk? What is the linear velocity of a point on the outside of the disk after 10 sec?

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

Similar questions

A loop has a rotational inertia of 0.14 kg.m when spinning about its central axis. It takes 1.5 s to reduce the angular momentum from 3.0 to 0.80 kg m-/s. Calculate the average torque about the central axis of the loop. O a. -1.7 N-m O b.1.47 N m Oc. 1.17 N -m O d.2.10 N-m O e. -1.47 N m
You and your friend ride a merry-go round. You sit further away from center (2r) but your friend sits closer to the center (r). If the angular speed of the system is a constant, what can you say about following for you and your friend?a. linear speed? b. Angular speed?c. radial acceleration?b. tangential acceleration? 2c. if the ride starts with zero angular speed and run with constant angular acceleration of 2.00 rad/sradius 4m circle., calculate final angular displacement and linear displacement you and your friend travel?
8. SITUATIONAL QUESTION At t = 0, a grinding wheel has an angular velocity of 25 rad/s. It has a constant angular acceleration of 32 rad/s2 until a circuit breaker trips at t = 2.5 seconds. From then on, it turns through 423 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? a. 108rad b. 540rad c. 114rad d. 537rad At what time did it stop? a. 12.186 s b. 10.186 s c. 11.506 s d. 9.506 s A carousel is initially at rest. At t = 0, it is given a constant angular acceleration a 0.058 rad/s2, which increases its angular velocity for 9.0 s. At t = 9 s, determine the total acceleration of a child 3.5m from the center of the carousel. a. 0.975 m/s2 b. 0.954 m/s2 c. 0.957 m/s2 d. 0.945 m/s2 8i. 8ii. 8iii.
Dr. Rhee wrapped a string tightly around a fixed pulley that has a moment of inertia of 0.0352 kg m2 and a radius of 12.5 cm. Then he pulls the string away from the pulley with a constant force of 5.00N. What is the speed of the string after it has unwound 2.31 m? O a. 2.09 m/s O b.4.95 m/s O c. 3.18 m/s O d. 2.36 m/s O e. 1.97 m/s
A record player rotates a record at 45 revolutions per minute. When the record player is switched off, it makes 4.0 complete turns at a constant angular acceleration before coming to rest. What was the magnitude of the angular acceleration (in rads/s²) of the record as it slowed down? A. 0.44 rad/s² B. 0.88 rad/s² C. 1.5 rad/s² D. 2.8 rad/s² D B O A O C
Started from rest, the two wheels of a mountain bike have both an angular acceleration of 4.0 rad/s². What is its angular speed at the instant when one has made 10 revolutions? A. 16 rad/s. B. 22 rad/s. C. 32 rad/s. D. 250 rad/s. E. 500 rad/s
2. Which of the following equations gives the mass moment of inertia of a thin homogenous rectangular plate with mass m base b, and height h, about the centroidal x-axis? h - b - A. 1/2mbh B. 1/2mh² c. mh² D. /mbh X
The angular velocity of a rigid body is shown in the graph below. What is its angular displacement between t = 0 and t = 4 s? a.20 rad b.80 rad c.60 rad d.40 rad
5. The disk has an angular acceleration a = 8 rad/s' and angular velocity w = 3 rad/s at the instant shown. If it does not slip at A, determine the magnitude and direction of the acceleration of point B. w = 3 rad/s a = 8 rad/s? 45° 0.5 m 45° B
A wheel with a moment of inertia of 25 kg m2 is subjected to a torque of 100 Nm. What angular acceleration is produced? a. 40 rad/s b. 2 rad/s c. 20 rad/s d. 4 rad/s
Q32.
1. Perform analysis steps B.1. Derive an algebraic equation for the moment of inertia of the disk/plate by using the conservation of energy method. The variables in your equations should be the values you can measure (e.g., mass of hanger, angular velocities, angular acceleration, positions and/or velocities of the falling mass, etc.) and physical constants (i.e., the acceleration due to gravity). You should do this on a separate sheet and keep a copy as you will need it during the lab.