In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 4.00 m, and, while being driven into rotation around a fixed axis, its angularposition is expressed as0 = 2.60t? – 0.300t3where 0 is in radians and t is in seconds.(a) Find the maximum angular speed of the roller.rad/s(b) What is the maximum tangential speed of a point on the rim of the roller?m/s(c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation?(d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)?rotations

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Answered: (a) Find the maximum angular speed of…

Similar questions

a) What constant torque needs to be applied to a wheel with rotational inertia I=0.1kg-m² about its central axis to decrease crease its angular velocity from 26 to 16 rad/s in 5s? Assume constant angular acceleration. Calculate b) initial and c) final angular momentum of the flywheel, d) angular acceleration of the flywheel. Hint: angular momentum of a rigid body is L= Io, solve part d) first.
3 Geodynamo The mass of the earth is M = 6.0 x 1024 kg and its radius is R = 6.4 x 10° m. (a) Estimate the rotational kinetic energy of the earth, in joules (J). (b) The world's annual power consumption is about 20 TWh. If the earth's rotational kinetic energy could be converted to electrical power, how long could it supply energy to the human race, assuming our power consumption remained constant? Report your answer in seconds and in years.
(a) What is the magnitude of the tangential acceleration of a bug on the rim of a 10.5-in.-diameter disk if the disk accelerates uniformly from rest to an angular speed of 76.0 rev/min in 3.60 s? ] m/s² (b) When the disk is at its final speed, what is the magnitude of the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is the magnitude of its tangential acceleration? m/s² (d) One second after the bug starts from rest, what is the magnitude of its centripetal acceleration? m/s² (e) One second after the bug starts from rest, what is its total acceleration? (Take the positive direction to be in the direction of motion.) magnitude m/s² direction from the radially inward direction Need Help? Read It
help please An merry-go-round starts from rest and has an angular acceleration of 3 rad/s2 and covers 415 rad. Determine the time it takes.
Suppose a uniform solid sphere of mass m and radius r rolls wihtout slipping down an inclined plane starting from rest. the linear velocity of the sphere at the bottom of the incline depens on: a)radius of the sphere b)mass of the sphere C)both d)neither
Problem A) At a circus you see a man spinning plates with radii of 75 cm on top of long poles. The plates have a constant angular acceleration of 0.6 rad/s?. Assuming the plates start from rest, after a time of 8 seconds calculate a) how many revolutions they have made, b) their angular velocity, c) their tangential acceleration, d) their radial acceleration, and e) their overall acceleration, magnitude and direction with respect to the edge of the disk.
4) suppose a lady bug's position on a wheel is given as θ=7t-3t^2, where θ is in radians and t is in seconds. What is the lady bug's instantaneous angular velocity at t=3 seconds? a) 20 rad/s b) -11 rad/s c) 3.0 rad/s d) -15 rad/s e) -18 rad/s
(2) The slender pole AB slides on the surface of the half-cylinder as its lower end A is pulled to the right on the floor with a constant velocity v = 0.5 m/s. If the radius of the half-cylinder is r = 0.2 m, determine the angular acceleration of the pole when x = 0.6 m. Ans: 0.522 rad/sec² CW A
2)4
(a) What is the tangential acceleration of a bug on the rim of a 5.0 in. diameter disk if the disk moves from rest to an angular speed of 76 rev/min in 5.0 s? |m/s2 (b) When the disk is at its final speed, what is the tangential velocity of the bug? m/s (c) One second after the bug starts from rest, what is its tangential acceleration? ]m/s? What is its centripetal acceleration? m/s? What is its total acceleration? |m/s² ° (relative to the tangential acceleration)

(a) Find the maximum angular speed of the roller. ] rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? ]m/s