A disc has a constant angular acceleration of 2 rads 2. At t=0 s, the tangential velocity is 4 m s1. The diameter of the disc is 15 cm. Compute the a) initial angular speed of the disc b) angular speed and angular displacement of the disc at t = 8 s c) angular displacement in revolution in 8 s d) time taken for the disc to complete one rotation

A disc has a constant angular acceleration of 2 rads 2. At t=0 s, the tangential velocity is 4 m s1. The diameter of the disc is 15 cm. Compute the a) initial angular speed of the disc b) angular speed and angular displacement of the disc at t = 8 s c) angular displacement in revolution in 8 s d) time taken for the disc to complete one rotation

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 solid sphere with a radius of 0.38 and a mass 0.29 is set to rotate about its center. After a time of 13.1 s, its rotational kinetic is 20.1 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I = MR? %3D
A string trimmer is a tool for cutting grass and weeds; it utilizes a length of nylon "string" that rotates about an axis perpendicular to one end of the string. The string rotates at an angular speed of 46 rev/s, and its tip has a tangential speed of 60 m/s. What is the length of the rotating string? Number Type your answer here Units Choose your answer here
A wheel of radius 1.0 m is rotating with a constantangular speed, ω, of 2.0 rad/s. What is the linear speed,v, of a point on the wheel's rim?A) 0.50 m/sB) 1.0 m/sC) 2.0 m/sD) 4.0 m/s
A solid sphere with a radius of 0.37 and a mass 0.32 is set to rotate about its center. After a time of 11.8 s, its rotational kinetic is 22.9 J. What is its constant angular acceleration? The moment of inertia for a solid sphere is I =MR? %3D
A car tire (hoop) has a mass of 35 kg and a radius of 0.43 m. The tire is released from rest at the top of a hill and it rolls without slipping to the bottom. “Rolls without slipping” means that the linear velocity of the center of mass is equal to the tangential velocity at the edge of the tire. Once the tire reaches the bottom of the hill it will have dropped by 10 m in vertical height. The final angular velocity ?ω of the tire at the bottom of the hill is Answer ????rads.
Suppose a yo-yo has a center shaft that has a 0.290 cm radius and that its string is being pulled. (a) If the string is stationary and the yo-yo accelerates away from it at a rate of 1.70 m/s?, what is the angular acceleration of the yo-yo in rad/s?? |rad/s² (b) What is the angular velocity in rad/s after 0.750 s if it starts from rest? rad/s (c) The outside radius of the yo-yo is 3.60 cm. What is the tangential acceleration in m/s? of a point on its edge? |m/s²
Solution (a) Find the angular displacement after 2.00 s, in both radians and revolutions. 1 A0 = w;t + Use Equation 7.8, setting @; 1.60 rad/s, a = 3.50 rad/s2, and t = 2.00 s. 1 Að = (1.60 rad/s) (2.00 s) + (3.50 rad/s²) (2.00 s)² 2 A0 = 10.2 rad Convert radians to revolutions. A0 = (Am rad)(1.00 rev/2r rad) AO = 16.02 X rev Your response differs from the correct answer by more than 100%. (b) What is the angular speed of the wheel at t = 2.00 s? Substitute the same values into Equation 7.7. @ = @; + at = 1.60 rad/s + (3.50 rad/s²)(2.00 s) W = rad/s Remarks The result of part (b) could also be obtained from Equation 7.9 and the results from part (a). - IN
A wheel, starting from rest, has a constant angular acceleration of 0.5 rad/s2. In a 2.9-s interval, it turns through an angle of 84 rad. How long has the wheel been in motion at the start of this 2.9-s interval? Needs Complete typed solution with 100 % accuracy.
A spinning wheel steadily slows from an initial angular velocity of 1.60 rev/s to 0.490 rev/s in 10.2 s. (a) Calculate the wheel's angular acceleration in radians per second squared. 0.562 rad/s² (b) What angle does it go through during that time? rad
a.)A wheel rotates at a constant rate, turning through an angle of 2.7 rad in 0.61s. a)Determine the angular speed of the wheel in rad/s. (b) A wheel rotates at a constant rate, turning through an angle of 2640 in 1.4 s. Determine the angular speed of the wheel in rad/s. (c) A wheel rotates at a constant rate, making 10 complete rotations in 4.3 s. Determine the angular speed of the wheel in rad/s.
A disk of radius 0.5 m is rotating with constant angular acceleration around an axis passing through its center as shown in the figure. It starts rotation at r = 0 with an angular velocity of 10 rad/s/ After making 30 revolutions, its angular velocity becomes 100 rad/s. Find the tangential acceleration (in m/s) of a point P on the rim of the disk P R
A solid metal disk with moment of inertia I, radius R, and mass m1 can rotate freely about a frictionless axis passing through its center. A light string is wrapped around the disk and connects to a hanging mass m2. The hanging mass is released from rest at a distance d above the ground and accelerates downward with acceleration awhile the disk rotates through an angle q. a) Find an expression for the angular accelerationaof the diskin terms of m2, I, R, and any necessary constants. b) Find an expression for the time it takes for the hanging mass to reach the ground. Write your answer in terms of q, a, and any necessary constants. c) Find an expression for the angular velocity of the disk just before the hanging mass hits the ground. Write your answer in terms of q, a, and any necessary constants.